%%% -*-BibTeX-*-
%%% ====================================================================
%%% BibTeX-file{
%%% author = "Nelson H F Beebe",
%%% version = "1.00",
%%% date = "01 November 2023",
%%% time = "12:08:43 MDT",
%%% filename = "birkhoff-garrett.bib",
%%% address = "University of Utah
%%% Department of Mathematics, 110 LCB
%%% 155 S 1400 E RM 233
%%% Salt Lake City, UT 84112-0090
%%% USA",
%%% telephone = "+1 801 581 5254",
%%% FAX = "+1 801 581 4148",
%%% URL = "https://www.math.utah.edu/~beebe",
%%% checksum = "43269 18098 73452 761001",
%%% email = "beebe at math.utah.edu, beebe at acm.org,
%%% beebe at computer.org (Internet)",
%%% codetable = "ISO/ASCII",
%%% keywords = "algebra; alternating direction implicit (ADI)
%%% methods; bibliography; BibTeX; differential
%%% equations; Douglas--Rachford method; elliptic
%%% problems; fluid dynamics; functional
%%% analysis; Garrett Birkhoff; group theory;
%%% history of mathematics; hydrodynamics;
%%% interpolation; lattice theory; nuclear
%%% reactors; numerical analysis; spline
%%% approximation; successive overrelaxation
%%% (SOR) methods; topology; Verbandstheorie
%%% (lattice theory)",
%%% license = "public domain",
%%% supported = "yes",
%%% docstring = "This is a bibliography of works by, and
%%% about, the influential American
%%% mathematician, Garrett Birkhoff (19 January
%%% 1911--22 November 1996), son of mathematician
%%% George David Birkhoff (1884--1944).
%%%
%%% Garrett Birkhoff was born in Princeton, NJ,
%%% USA, and Harvard University in 1928, and
%%% received a B.A. degree there in 1932. He
%%% next studied at Cambridge University in the
%%% UK, but took no degrees, and returned to
%%% Harvard in 1933, becoming an instructor there
%%% in 1936. He was appointed George Putnam
%%% Professor of Pure and Applied Mathematics at
%%% Harvard in 1969, and retired there in 1981.
%%%
%%% During his career, he was awarded six
%%% honorary degrees, was elected to the National
%%% Academy of Sciences and the American Academy
%%% of Arts and Sciences, was a Guggenheim Fellow
%%% in 1948--1949, and was President of the
%%% Society for Industrial and Applied
%%% Mathematics (SIAM) for 1966--1968. His
%%% several textbooks were widely used, and
%%% translated into other languages. He received
%%% the AMS/SIAM George David Birkhoff Prize in
%%% 1978.
%%%
%%% Entry Rota:1987:SPA republishes a selection
%%% of Garrett Birkhoff's important works, and
%%% includes a list of 209 of his papers from
%%% 1933 to 1986. They are identified in this
%%% file in GB-number values. The memoriam in
%%% entry Young:1997:GBA lists 44 papers by
%%% Garrett Birkhoff, and works related to his.
%%% Papers from both those lists are all included
%%% in this bibliography.
%%%
%%% At version 1.00 of this file, Part 1 records
%%% 364 publications by Garrett Birkhoff, and the
%%% final cross reference lists 8 edited volumes.
%%% However, no curriculum vitae for Garrett
%%% Birkhoff has been found to check against the
%%% coverage in this file.
%%%
%%% Web sites about Garrett Birkhoff include
%%%
%%% https://en.wikipedia.org/wiki/Garrett_Birkhoff
%%% https://mathshistory.st-andrews.ac.uk/Biographies/Birkhoff_Garrett/
%%% https://www.encyclopedia.com/people/science-and-technology/mathematics-biographies/garrett-birkhoff
%%% https://www.mathgenealogy.org/id.php?id=16942
%%%
%%% The genealogy site reports that he has 53
%%% students and 1298 academic descendants. One
%%% of his students, David Young, Jr., is covered
%%% in the BibNet Project, and another, Calvin
%%% Wilcox, was a Utah long-time colleague of the
%%% bibliographer.
%%%
%%% Books (some with multiple editions and
%%% translations) authored or co-authored by
%%% Garrett Birkhoff include:
%%%
%%% A Brief Survey of Modern Algebra
%%% Algebra [English, French, German]
%%% A Survey of Modern Algebra
%%% Hydrodynamic instability
%%% Hydrodynamics: A Study in Logic, Fact and
%%% Similitude
%%% Jets, Wakes, and Cavities [English, Russian]
%%% Lattice Theory [English, Russian]
%%% Modern Applied Algebra
%%% Numerical Solution of Elliptic Problems
%%% Ordinary Differential Equations
%%% The Numerical Solution of Elliptic Equations
%%% Trends in Lattice Theory
%%%
%%% Conference proceedings edited or co-edited by
%%% Garrett Birkhoff include
%%%
%%% 1961 Nuclear reactor theory
%%% 1962 Hydrodynamic Instability
%%% 1969 Transport theory
%%% 1970 Numerical solution of field problems
%%% in continuum physics
%%% 1970 Studies in Numerical Analysis, 2
%%% 1971 Computers in Algebra and Number Theory
%%% 1984 Elliptic Problem Solvers, II
%%%
%%% Journals in which Garrett Birkhoff published
%%% most frequently include:
%%% ---------------------------+-------
%%% journal | count
%%% ---------------------------+-------
%%% j-BULL-AMS | 42
%%% j-PROC-NATL-ACAD-SCI-USA | 14
%%% j-AMER-MATH-MONTHLY | 10
%%% j-ANN-MATH-2 | 10
%%% j-QUART-APPL-MATH | 10
%%% j-TRANS-AM-MATH-SOC | 10
%%% j-J-MATH-ANAL-APPL | 9
%%% j-J-MATH-MECH | 9
%%% j-DUKE-MATH-J | 7
%%% j-J-MATH-PHYS-MIT | 7
%%% j-PROC-CAMBRIDGE-PHIL-SOC | 5
%%% ...
%%% ---------------------------+-------
%%%
%%% At version 1.00, the year coverage looked
%%% like this:
%%%
%%% 1911 ( 1) 1949 ( 6) 1987 ( 5)
%%% 1912 ( 0) 1950 ( 7) 1988 ( 8)
%%% 1913 ( 0) 1951 ( 1) 1989 ( 4)
%%% 1914 ( 0) 1952 ( 5) 1990 ( 8)
%%% 1915 ( 0) 1953 ( 6) 1991 ( 3)
%%% 1916 ( 0) 1954 ( 14) 1992 ( 7)
%%% 1917 ( 0) 1955 ( 3) 1993 ( 5)
%%% 1918 ( 1) 1956 ( 5) 1994 ( 2)
%%% 1919 ( 0) 1957 ( 5) 1995 ( 3)
%%% 1920 ( 0) 1958 ( 6) 1996 ( 5)
%%% 1921 ( 0) 1959 ( 5) 1997 ( 4)
%%% 1922 ( 0) 1960 ( 7) 1998 ( 4)
%%% 1923 ( 0) 1961 ( 8) 1999 ( 2)
%%% 1924 ( 0) 1962 ( 14) 2000 ( 5)
%%% 1925 ( 0) 1963 ( 12) 2001 ( 5)
%%% 1926 ( 0) 1964 ( 7) 2002 ( 3)
%%% 1927 ( 0) 1965 ( 11) 2003 ( 5)
%%% 1928 ( 0) 1966 ( 8) 2004 ( 4)
%%% 1929 ( 0) 1967 ( 11) 2005 ( 4)
%%% 1930 ( 0) 1968 ( 4) 2006 ( 4)
%%% 1931 ( 0) 1969 ( 13) 2007 ( 4)
%%% 1932 ( 0) 1970 ( 13) 2008 ( 6)
%%% 1933 ( 5) 1971 ( 14) 2009 ( 3)
%%% 1934 ( 26) 1972 ( 6) 2010 ( 7)
%%% 1935 ( 26) 1973 ( 11) 2011 ( 9)
%%% 1936 ( 15) 1974 ( 12) 2012 ( 5)
%%% 1937 ( 13) 1975 ( 17) 2013 ( 4)
%%% 1938 ( 3) 1976 ( 13) 2014 ( 3)
%%% 1939 ( 4) 1977 ( 7) 2015 ( 6)
%%% 1940 ( 3) 1978 ( 4) 2016 ( 9)
%%% 1941 ( 2) 1979 ( 10) 2017 ( 6)
%%% 1942 ( 2) 1980 ( 9) 2018 ( 8)
%%% 1943 ( 2) 1981 ( 6) 2019 ( 5)
%%% 1944 ( 2) 1982 ( 9) 2020 ( 2)
%%% 1945 ( 1) 1983 ( 8) 2021 ( 4)
%%% 1946 ( 9) 1984 ( 11) 2022 ( 4)
%%% 1947 ( 1) 1985 ( 6) 2023 ( 3)
%%% 1948 ( 7) 1986 ( 6)
%%% 19xx ( 1)
%%%
%%% Article: 472
%%% Book: 60
%%% InCollection: 23
%%% InProceedings: 45
%%% Misc: 1
%%% PhdThesis: 1
%%% Proceedings: 12
%%% TechReport: 8
%%%
%%% Total entries: 622
%%%
%%% The checksum field above contains a CRC-16
%%% checksum as the first value, followed by the
%%% equivalent of the standard UNIX wc (word
%%% count) utility output of lines, words, and
%%% characters. This is produced by Robert
%%% Solovay's checksum utility.",
%%% }
%%% ====================================================================
@Preamble{
"\ifx \undefined \booktitle \def \booktitle #1{{{\em #1}}} \fi" #
"\ifx \undefined \bud \def \bud {u} \fi" #
"\ifx \undefined \cprime \def \cprime{$'$} \fi" #
"\ifx \undefined \cyr \let \cyr = \relax \fi" #
"\ifx \undefined \mathbb \def \mathbb #1{{\bf #1}} \fi" #
"\ifx \undefined \mathcal \def \mathcal #1{{\cal #1}} \fi"
}
%%% ====================================================================
%%% Acknowledgement abbreviations:
@String{ack-nhfb = "Nelson H. F. Beebe,
University of Utah,
Department of Mathematics, 110 LCB,
155 S 1400 E RM 233,
Salt Lake City, UT 84112-0090, USA,
Tel: +1 801 581 5254,
FAX: +1 801 581 4148,
e-mail: \path|beebe@math.utah.edu|,
\path|beebe@acm.org|,
\path|beebe@computer.org| (Internet),
URL: \path|https://www.math.utah.edu/~beebe/|"}
%%% ====================================================================
%%% Journal abbreviations:
@String{j-ADV-MATH = "Advances in Mathematics"}
@String{j-ALGEBRA-UNIVERS = "Algebra Universalis"}
@String{j-AM-J-MATH = "American Journal of Mathematics"}
@String{j-AM-SCI = "American Scientist"}
@String{j-AMER-MATH-MONTHLY = "American Mathematical Monthly"}
@String{j-ANN-INST-HENRI-POINCARE = "Annales de l'Institut Henri Poincar{\'e}"}
@String{j-ANN-INST-HENRI-POINCARE-N-S-B-CALC-PROBAB-STAT = "Annales de
l'Institut Henri
Poincar{\'e}. Nouvelle
s{\'e}rie. Section B. Calcul des
Probabilit{\'e}s et Statistique"}
@String{j-ANN-MATH = "Annals of Mathematics"}
@String{j-ANN-MATH-2 = "Annals of Mathematics (2)"}
@String{j-ANN-MATH-STAT = "Annals of mathematical statistics"}
@String{j-ANN-PROBAB = "Annals of Probability"}
@String{j-APPL-MATH-COMP = "Applied Mathematics and Computation"}
@String{j-APPL-NUM-MATH = "Applied Numerical Mathematics: Transactions of IMACS"}
@String{j-ARCH-HIST-EXACT-SCI = "Archive for History of Exact Sciences"}
@String{j-BIT = "BIT (Nordisk tidskrift for informationsbehandling)"}
@String{j-BIT-NUM-MATH = "BIT Numerical Mathematics"}
@String{j-BRITISH-J-HIST-SCI = "British Journal for the History of Science"}
@String{j-BULL-AMS = "Bulletin of the American Mathematical
Society"}
@String{j-C-R-ACAD-SCI-PARIS = "Comptes rendus de l'Acad{\'e}mie des sciences, Paris"}
@String{j-CACM = "Communications of the ACM"}
@String{j-CAN-J-MATH = "Canadian Journal of Mathematics = Journal
canadien de math{\'e}matiques"}
@String{j-CAN-MATH-BULL = "Canadian mathematical bulletin = Bulletin canadien de math{\'e}matiques"}
@String{j-COMM-PURE-APPL-MATH = "Communications on Pure and Applied
Mathematics (New York)"}
@String{j-COMMUN-MATH-STAT = "Communications in Mathematics and Statistics"}
@String{j-COMP-PHYS-COMM = "Computer Physics Communications"}
@String{j-COMPOS-MATH = "Compositio Mathematica"}
@String{j-COMPUT-MATH-APPL = "Computers and Mathematics with Applications"}
@String{j-COMPUTING = "Computing: Archiv f{\"u}r Informatik und Numerik"}
@String{j-DUKE-MATH-J = "Duke Mathematical Journal"}
@String{j-ECONOMETRICA = "Econometrica"}
@String{j-ELECTR-ENG = "Electrical Engineering (American Institute of
Electrical Engineers)"}
@String{j-ELECTRON-J-LINEAR-ALGEBRA = "Electronic Journal of Linear Algebra"}
@String{j-EXP-MATH = "Experimental Mathematics"}
@String{j-FORM-ASP-COMPUT = "Formal Aspects of Computing"}
@String{j-FOUND-PHYS = "Foundations of Physics"}
@String{j-FUND-INFO = "Fundamenta Informaticae"}
@String{j-FUNDAM-MATH = "Fundamenta mathematicae"}
@String{j-HIST-MATH = "Historia Mathematica"}
@String{j-IEEE-COMPUT-ARCHIT-LETT = "IEEE Computer Architecture Letters"}
@String{j-IEEE-TRANS-NETWORKING = "IEEE\slash ACM Transactions on Networking"}
@String{j-IMA-J-NUMER-ANAL = "IMA Journal of Numerical Analysis"}
@String{j-INDIAN-J-MATH = "Indian Journal of Mathematics"}
@String{j-INDIANA-UNIV-MATH-J = "Indiana University Mathematics Journal"}
@String{j-ISIS = "Isis"}
@String{j-J-ALG = "Journal of Algorithms"}
@String{j-J-ANAL-MATH = "Journal d'analyse math{\'e}matique"}
@String{j-J-APPL-PHYS = "Journal of Applied Physics"}
@String{j-J-APPROX-THEORY = "Journal of Approximation Theory"}
@String{j-J-COMB-THEORY = "Journal of Combinatorial Theory"}
@String{j-J-COMPUT-APPL-MATH = "Journal of Computational and Applied Mathematics"}
@String{j-J-COMPUT-PHYS = "Journal of Computational Physics"}
@String{j-J-DIFFER-EQU = "Journal of Differential Equations"}
@String{j-J-HYDRAULICS-DIV = "Journal of the Hydraulics Division"}
@String{j-J-MATH-ANAL-APPL = "Journal of Mathematical Analysis and
Applications"}
@String{j-J-MATH-MECH = "Journal of Mathematics and Mechanics"}
@String{j-J-MATH-PHYS = "Journal of Mathematical Physics"}
@String{j-J-MATH-PHYS-MIT = "Journal of Mathematics and Physics (MIT)"}
@String{j-J-NUMBER-THEORY = "Journal of Number Theory"}
@String{j-J-SCI-COMPUT = "Journal of Scientific Computing"}
@String{j-J-SIAM = "Journal of the Society for Industrial and
Applied Mathematics"}
@String{j-J-STAT-PHYS = "Journal of Statistical Physics"}
@String{j-J-SYMBOLIC-COMP = "Journal of Symbolic Computation"}
@String{j-LECT-NOTES-COMP-SCI = "Lecture Notes in Computer Science"}
@String{j-LECT-NOTES-MATH = "Lecture Notes in Mathematics"}
@String{j-LIN-MULT-ALGEBRA = "Linear Multilinear Algebra"}
@String{j-LINEAR-ALGEBRA-APPL = "Linear Algebra and its Applications"}
@String{j-MATH-COMP-SIM = "Mathematics and Computers in Simulation"}
@String{j-MATH-COMPUT = "Mathematics of Computation"}
@String{j-MATH-COMPUT-SCI = "Mathematics in Computer Science"}
@String{j-MATH-GAZ = "Mathematical Gazette"}
@String{j-MATH-INTEL = "The Mathematical Intelligencer"}
@String{j-MATH-MAG = "Mathematics Magazine"}
@String{j-MATH-TABLES-OTHER-AIDS-COMPUT = "Mathematical Tables and Other Aids
to Computation"}
@String{j-MATH-Z = "Mathematische Zeitschrift"}
@String{j-NAMS = "Notices of the American Mathematical
Society"}
@String{j-NUM-MATH = "Numerische Mathematik"}
@String{j-NUMER-ALGORITHMS = "Numerical Algorithms"}
@String{j-NY-TIMES = "New York Times"}
@String{j-ORDER-DORDRECHT = "Order (Dordrecht)"}
@String{j-OSIRIS = "Osiris"}
@String{j-PHILOS-TRANS-R-SOC-LOND-SER-A = "Philosophical Transactions of the
Royal Society A: Mathematical,
Physical, and Engineering Sciences"}
@String{j-PHYS-FLUIDS = "The Physics of Fluids"}
@String{j-POKROKY-MAT-FYS-ASTRON = "Pokroky Matematiky, Fyziky a Astronomie"}
@String{j-PROC-AM-MATH-SOC = "Proceedings of the American Mathematical
Society"}
@String{j-PROC-AMER-PHIL-SOC = "Proceedings of the {American Philosophical
Society} held at {Philadelphia} for
promoting useful knowledge"}
@String{j-PROC-CAMBRIDGE-PHIL-SOC = "Proceedings of the Cambridge Philosophical
Society. Mathematical and physical sciences"}
@String{j-PROC-LONDON-MATH-SOC-2 = "Proceedings of the London Mathematical
Society. Second Series"}
@String{j-PROC-NATL-ACAD-SCI-USA = "Proceedings of the National Academy of
Sciences of the United States of America"}
@String{j-QUART-APPL-MATH = "Quarterly of Applied Mathematics"}
@String{j-REV-HIST-MATH = "Revue d'Histoire des Math{'e}matiques =
Journal for the History of Mathematics"}
@String{j-SIAM-J-APPL-MATH = "SIAM Journal on Applied Mathematics"}
@String{j-SIAM-J-COMPUT = "SIAM Journal on Computing"}
@String{j-SIAM-J-CONTROL-OPTIM = "SIAM Journal on Control and Optimization"}
@String{j-SIAM-J-DISCR-MATH = "SIAM Journal on Discrete Mathematics"}
@String{j-SIAM-J-MAT-ANA-APPL = "SIAM Journal on Matrix Analysis and Applications"}
@String{j-SIAM-J-MATH-ANA = "SIAM Journal on Mathematical Analysis"}
@String{j-SIAM-J-NUMER-ANAL = "SIAM Journal on Numerical Analysis"}
@String{j-SIAM-J-SCI-STAT-COMP = "SIAM Journal on Scientific and Statistical Computing"}
@String{j-SIAM-REVIEW = "SIAM Review"}
@String{j-SIGMETRICS = "ACM SIGMETRICS Performance Evaluation Review"}
@String{j-SIGSAM = "SIGSAM Bulletin"}
@String{j-STUD-APPL-MATH = "Studies in Applied Mathematics"}
@String{j-SYNTHESE = "Synthese"}
@String{j-THEOR-COMP-SCI = "Theoretical Computer Science"}
@String{j-TOMS = "ACM Transactions on Mathematical Software"}
@String{j-TRANS-AM-MATH-SOC = "Transactions of the American Mathematical
Society"}
@String{j-TRANS-AM-NUCL-SOC = "Transactions of the American Nuclear
Society"}
@String{j-TWO-YEAR-COLL-MATH-J = "Two-Year College Mathematics Journal"}
@String{j-Z-ANGE-MATH-MECH = "{Zeitschrift f{\"u}r Angewandte Mathematik
und Mechanik}"}
@String{j-Z-ANGE-MATH-PHYS = "{Zeitschrift f{\"u}r Angewandte Mathematik
und Physik = Journal of Applied Mathematics
and Physics}"}
%%% ====================================================================
%%% Publisher abbreviations:
@String{pub-A-K-PETERS = "A. K. Peters, Ltd."}
@String{pub-A-K-PETERS:adr = "Wellesley, MA, USA"}
@String{pub-ACADEMIC = "Academic Press"}
@String{pub-ACADEMIC:adr = "New York, USA"}
@String{pub-ACM = "ACM Press"}
@String{pub-ACM:adr = "New York, NY 10036, USA"}
@String{pub-AMS = "American Mathematical Society"}
@String{pub-AMS:adr = "Providence, RI, USA"}
@String{pub-AW = "Ad{\-d}i{\-s}on-Wes{\-l}ey"}
@String{pub-AW:adr = "Reading, MA, USA"}
@String{pub-BIRKHAUSER = "Birkh{{\"a}}user"}
@String{pub-BIRKHAUSER:adr = "Cambridge, MA, USA; Berlin, Germany; Basel,
Switzerland"}
@String{pub-BIRKHAUSER-BOSTON = "Birkh{\"a}user Boston Inc."}
@String{pub-BIRKHAUSER-BOSTON:adr = "Cambridge, MA, USA"}
@String{pub-BLAISDELL = "Blaisdell Pub. Co."}
@String{pub-BLAISDELL:adr = "Waltham, MA, USA"}
@String{pub-DEKKER = "Marcel Dekker, Inc."}
@String{pub-DEKKER:adr = "New York, NY, USA"}
@String{pub-DOVER = "Dover Publications, Inc."}
@String{pub-DOVER:adr = "New York, NY, USA"}
@String{pub-DUNOD = "Dunod"}
@String{pub-DUNOD:adr = "Paris, France"}
@String{pub-ELSEVIER = "Elsevier"}
@String{pub-ELSEVIER:adr = "Amsterdam, The Netherlands"}
@String{pub-GAUTHIER-VILLARS = "Gauthier-Villars et cie"}
@String{pub-GAUTHIER-VILLARS:adr = "Paris, France"}
@String{pub-GREENWOOD = "Greenwood Press"}
@String{pub-GREENWOOD:adr = "88 Post Road West, Westport, CT 06881, USA"}
@String{pub-GRUYTER = "Walter de Gruyter"}
@String{pub-GRUYTER:adr = "Berlin, Germany"}
@String{pub-HARVARD = "Harvard University Press"}
@String{pub-HARVARD:adr = "Cambridge, MA, USA"}
@String{pub-INTERSCIENCE = "Interscience Publishers"}
@String{pub-INTERSCIENCE:adr = "New York, NY, USA"}
@String{pub-MACMILLAN = "Macmillan Publishing Company"}
@String{pub-MACMILLAN:adr = "New York, NY, USA"}
@String{pub-MATH-ASSOC-AMER = "Mathematical Association of America"}
@String{pub-MATH-ASSOC-AMER:adr = "Washington, DC, USA"}
@String{pub-MCGRAW-HILL = "Mc{\-}Graw-Hill"}
@String{pub-MCGRAW-HILL:adr = "New York, NY, USA"}
@String{pub-NBS = "U.S. National Bureau of Standards"}
@String{pub-NBS:adr = "Gaithersburg, MD, USA"}
@String{pub-NORTH-HOLLAND = "North-Holland Publishing Co."}
@String{pub-NORTH-HOLLAND:adr = "Amsterdam, The Netherlands"}
@String{pub-OLDENBOURG = "R. Oldenbourg"}
@String{pub-OLDENBOURG:adr = "M{\"{u}}nchen, Germany"}
@String{pub-OLIVER-BOYD = "Oliver and Boyd"}
@String{pub-OLIVER-BOYD:adr = "Edinburgh, UK; London, UK"}
@String{pub-OXFORD = "Oxford University Press"}
@String{pub-OXFORD:adr = "Walton Street, Oxford OX2 6DP, UK"}
@String{pub-PERGAMON = "Pergamon Press"}
@String{pub-PERGAMON:adr = "New York, NY, USA"}
@String{pub-PH = "Pren{\-}tice-Hall"}
@String{pub-PH:adr = "Upper Saddle River, NJ 07458, USA"}
@String{pub-PRINCETON = "Princeton University Press"}
@String{pub-PRINCETON:adr = "Princeton, NJ, USA"}
@String{pub-REIDEL = "D. Reidel"}
@String{pub-REIDEL:adr = "Dordrecht, The Netherlands; Boston, MA, USA;
Lancaster, UK; Tokyo, Japan"}
@String{pub-SIAM = "SIAM Press"}
@String{pub-SIAM:adr = "Philadelphia, PA, USA"}
@String{pub-SV = "Springer-Verlag"}
@String{pub-SV:adr = "Berlin, Germany~/ Heidelberg, Germany~/
London, UK~/ etc."}
@String{pub-TEUBNER = "Teubner"}
@String{pub-TEUBNER:adr = "Stuttgart, Germany; Leipzig, Germany"}
@String{pub-U-MINNESOTA = "University of Minnesota Press"}
@String{pub-U-MINNESOTA:adr = "Minneapolis, MN, USA"}
@String{pub-U-TORONTO = "University of Toronto Press"}
@String{pub-U-TORONTO:adr = "Toronto, ON, Canada"}
@String{pub-USGPO = "United States Government Printing Office"}
@String{pub-USGPO:adr = "Washington, DC, USA"}
@String{pub-VAN-NOSTRAND-REINHOLD = "Van Nostrand Reinhold"}
@String{pub-VAN-NOSTRAND-REINHOLD:adr = "New York, NY, USA"}
@String{pub-WILEY = "Wiley"}
@String{pub-WILEY:adr = "New York, NY, USA"}
@String{pub-WORLD-SCI = "World Scientific Publishing Co."}
@String{pub-WORLD-SCI:adr = "Singapore; Philadelphia, PA, USA; River
Edge, NJ, USA"}
%%% ====================================================================
%%% Series abbreviations:
@String{ser-LECT-NOTES-MATH = "Lecture Notes in Mathematics"}
%%% ====================================================================
%%% Part 1: Publications by Garrett Birkhoff
%%%
%%% Bibliography entries, sorted by year, and then by citation label:
@Article{Birkhoff:1933:ADP,
author = "Garrett Birkhoff",
title = "Axiomatic definitions of perfectly separable metric
spaces",
journal = j-BULL-AMS,
volume = "39",
number = "8",
pages = "601--607",
month = aug,
year = "1933",
CODEN = "BAMOAD",
DOI = "https://doi.org/10.1090/S0002-9904-1933-05693-8",
ISSN = "0002-9904 (print), 1936-881x (electronic)",
ISSN-L = "0002-9904",
bibdate = "Sun Oct 29 10:49:01 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/birkhoff-garrett.bib",
ZMnumber = "0007.36901",
acknowledgement = ack-nhfb,
author-dates = "Garrett Birkhoff (19 January 1911--22 November 1996)",
fjournal = "Bulletin of the American Mathematical Society",
GB-number = "2",
jfm = "59.1259.02",
journal-URL = "http://www.ams.org/journals/bull/all_issues.html",
remark = "From the title footnote: ``Adapted from a Harvard
Undergraduate Honors Thesis.'' This is Garrett
Birkhoff's second published work.",
ZBmath = "2547038, 3010639",
}
@Article{Birkhoff:1933:CS,
author = "Garrett Birkhoff",
title = "On the combination of subalgebras",
journal = j-PROC-CAMBRIDGE-PHIL-SOC,
volume = "29",
number = "4",
pages = "441--464",
day = "30",
month = oct,
year = "1933",
CODEN = "PCPSA4",
DOI = "https://doi.org/10.1017/S0305004100011464",
ISSN = "0008-1981",
bibdate = "Sun Oct 29 10:49:01 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/birkhoff-garrett.bib",
ZMnumber = "0007.39502",
acknowledgement = ack-nhfb,
author-dates = "Garrett Birkhoff (19 January 1911--22 November 1996)",
fjournal = "Proceedings of the Cambridge Philosophical Society",
GB-number = "3",
jfm = "59.0154.02",
journal-URL = "http://journals.cambridge.org/action/displayJournal?jid=PSP",
keywords = "06-XX",
ZBmath = "2542994, 3010765",
}
@Article{Birkhoff:1933:OGA,
author = "Garrett Birkhoff",
title = "The order of groups of automorphisms",
journal = j-BULL-AMS,
volume = "39",
pages = "871--871",
year = "1933",
CODEN = "BAMOAD",
ISSN = "0002-9904 (print), 1936-881x (electronic)",
ISSN-L = "0002-9904",
bibdate = "Sun Oct 29 10:49:01 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/birkhoff-garrett.bib",
acknowledgement = ack-nhfb,
author-dates = "Garrett Birkhoff (19 January 1911--22 November 1996)",
fjournal = "Bulletin of the American Mathematical Society",
jfm = "59.0167.10",
journal-URL = "http://www.ams.org/journals/bull/all_issues.html",
ZBmath = "2543038",
}
@Article{Birkhoff:1933:TTG,
author = "Garrett Birkhoff",
title = "A theorem on transitive groups",
journal = j-PROC-CAMBRIDGE-PHIL-SOC,
volume = "29",
number = "2",
pages = "257--259",
month = may,
year = "1933",
CODEN = "PCPSA4",
DOI = "https://doi.org/10.1017/S0305004100011051",
ISSN = "0008-1981",
bibdate = "Sun Oct 29 10:49:01 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/birkhoff-garrett.bib",
ZMnumber = "0006.39202",
acknowledgement = ack-nhfb,
author-dates = "Garrett Birkhoff (19 January 1911--22 November 1996)",
fjournal = "Proceedings of the Cambridge Philosophical Society",
GB-number = "1",
jfm = "59.0151.02",
journal-URL = "http://journals.cambridge.org/action/displayJournal?jid=PSP",
received = "Received 15 May 1933. Read 30 October 1933.",
remark = "This is Garrett Birkhoff's first published work, done
while he was at Cambridge University working under
Philip Hall.",
ZBmath = "2542984, 3009053",
}
@Article{Birkhoff:1934:AAG,
author = "Garrett Birkhoff",
title = "On the automorphisms of {Abelian} groups",
journal = j-BULL-AMS,
volume = "40",
pages = "390--391",
year = "1934",
CODEN = "BAMOAD",
ISSN = "0002-9904 (print), 1936-881x (electronic)",
ISSN-L = "0002-9904",
bibdate = "Sun Oct 29 10:49:01 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/birkhoff-garrett.bib",
acknowledgement = ack-nhfb,
author-dates = "Garrett Birkhoff (19 January 1911--22 November 1996)",
fjournal = "Bulletin of the American Mathematical Society",
jfm = "60.0112.09",
journal-URL = "http://www.ams.org/journals/bull/all_issues.html",
ZBmath = "2537344",
}
@Article{Birkhoff:1934:AGP,
author = "Garrett Birkhoff",
title = "On the automorphismus of groups of prime-order",
journal = j-BULL-AMS,
volume = "40",
pages = "391--391",
year = "1934",
CODEN = "BAMOAD",
DOI = "https://doi.org/10.1090/S0002-9904-1934-05856-7",
ISSN = "0002-9904 (print), 1936-881x (electronic)",
ISSN-L = "0002-9904",
bibdate = "Sun Oct 29 10:49:01 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/birkhoff-garrett.bib",
acknowledgement = ack-nhfb,
author-dates = "Garrett Birkhoff (19 January 1911--22 November 1996)",
fjournal = "Bulletin of the American Mathematical Society",
jfm = "60.0112.05",
journal-URL = "http://www.ams.org/journals/bull/all_issues.html",
ZBmath = "2537340",
}
@Article{Birkhoff:1934:ALA,
author = "Garrett Birkhoff",
title = "Applications of lattice algebra",
journal = j-PROC-CAMBRIDGE-PHIL-SOC,
volume = "30",
number = "2",
pages = "115--122",
day = "30",
month = apr,
year = "1934",
CODEN = "PCPSA4",
DOI = "https://doi.org/10.1017/S0305004100016522",
ISSN = "0008-1981",
bibdate = "Sun Oct 29 10:49:01 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/birkhoff-garrett.bib",
ZMnumber = "0009.05501",
acknowledgement = ack-nhfb,
author-dates = "Garrett Birkhoff (19 January 1911--22 November 1996)",
fjournal = "Proceedings of the Cambridge Philosophical Society",
GB-number = "4",
jfm = "60.0092.03",
journal-URL = "http://journals.cambridge.org/action/displayJournal?jid=PSP",
ZBmath = "2537285, 3012912",
}
@Article{Birkhoff:1934:CRF,
author = "Garrett Birkhoff",
title = "Combinatorial relations in finite projektive
geometies",
journal = j-BULL-AMS,
volume = "40",
pages = "209--209",
year = "1934",
CODEN = "BAMOAD",
DOI = "https://doi.org/10.1090/S0002-9904-1934-05818-X",
ISSN = "0002-9904 (print), 1936-881x (electronic)",
ISSN-L = "0002-9904",
bibdate = "Sun Oct 29 10:49:01 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/birkhoff-garrett.bib",
acknowledgement = ack-nhfb,
author-dates = "Garrett Birkhoff (19 January 1911--22 November 1996)",
fjournal = "Bulletin of the American Mathematical Society",
jfm = "60.0496.04",
journal-URL = "http://www.ams.org/journals/bull/all_issues.html",
ZBmath = "2538417",
}
@Article{Birkhoff:1934:HGa,
author = "Garrett Birkhoff",
title = "{Hausdorff} groupoids",
journal = j-ANN-MATH-2,
volume = "35",
number = "2",
pages = "351--360",
month = apr,
year = "1934",
CODEN = "ANMAAH",
DOI = "https://doi.org/10.2307/1968437",
ISSN = "0003-486X (print), 1939-8980 (electronic)",
ISSN-L = "0003-486X",
MRclass = "99-04",
MRnumber = "1503167",
bibdate = "Sun Oct 22 09:59:52 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/birkhoff-garrett.bib",
ZMnumber = "0009.20301",
acknowledgement = ack-nhfb,
author-dates = "Garrett Birkhoff (19 January 1911--22 November 1996)",
fjournal = "Annals of Mathematics. Second Series",
journal-URL = "https://annals.math.princeton.edu/;
https://www.jstor.org/journal/annamath",
}
@Article{Birkhoff:1934:HGb,
author = "Garrett Birkhoff",
title = "{Hausdorff} groupoids",
journal = j-BULL-AMS,
volume = "40",
pages = "48--48",
year = "1934",
CODEN = "BAMOAD",
ISSN = "0002-9904 (print), 1936-881x (electronic)",
ISSN-L = "0002-9904",
bibdate = "Sun Oct 29 10:49:01 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/birkhoff-garrett.bib",
acknowledgement = ack-nhfb,
author-dates = "Garrett Birkhoff (19 January 1911--22 November 1996)",
fjournal = "Bulletin of the American Mathematical Society",
GB-number = "5",
jfm = "60.0536.10",
journal-URL = "http://www.ams.org/journals/bull/all_issues.html",
ZBmath = "2538530",
}
@Article{Birkhoff:1934:IARa,
author = "Garrett Birkhoff",
title = "Ideals in algebraic rings",
journal = j-BULL-AMS,
volume = "40",
pages = "801--801",
year = "1934",
CODEN = "BAMOAD",
ISSN = "0002-9904 (print), 1936-881x (electronic)",
ISSN-L = "0002-9904",
bibdate = "Sun Oct 29 10:49:01 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/birkhoff-garrett.bib",
acknowledgement = ack-nhfb,
author-dates = "Garrett Birkhoff (19 January 1911--22 November 1996)",
fjournal = "Bulletin of the American Mathematical Society",
jfm = "60.0935.07",
journal-URL = "http://www.ams.org/journals/bull/all_issues.html",
ZBmath = "2540093",
}
@Article{Birkhoff:1934:IARb,
author = "Garrett Birkhoff",
title = "Ideals in algebraic rings",
journal = j-PROC-NATL-ACAD-SCI-USA,
volume = "20",
number = "11",
pages = "571--573",
day = "1",
month = nov,
year = "1934",
CODEN = "PNASA6",
DOI = "https://doi.org/10.1073/pnas.20.11.571",
ISSN = "0027-8424 (print), 1091-6490 (electronic)",
ISSN-L = "0027-8424",
bibdate = "Sun Oct 29 10:49:01 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/birkhoff-garrett.bib",
URL = "www.ncbi.nlm.nih.gov/pmc/articles/PMC1076485",
ZMnumber = "0010.19302",
acknowledgement = ack-nhfb,
author-dates = "Garrett Birkhoff (19 January 1911--22 November 1996)",
fjournal = "Proceedings of the National Academy of Sciences of the
United States of America",
GB-number = "7",
jfm = "60.0931.01",
journal-URL = "http://www.pnas.org/content/by/year",
ZBmath = "2540069; 3015156",
}
@Article{Birkhoff:1934:IFV,
author = "G. Birkhoff",
title = "Integration of functions with values in a {Banach}
space",
journal = j-BULL-AMS,
volume = "40",
pages = "664--664",
year = "1934",
CODEN = "BAMOAD",
ISSN = "0002-9904 (print), 1936-881x (electronic)",
ISSN-L = "0002-9904",
bibdate = "Sun Oct 29 10:49:01 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/birkhoff-garrett.bib",
acknowledgement = ack-nhfb,
author-dates = "Garrett Birkhoff (19 January 1911--22 November 1996)",
fjournal = "Bulletin of the American Mathematical Society",
jfm = "60.0224.08",
journal-URL = "http://www.ams.org/journals/bull/all_issues.html",
ZBmath = "2537694",
}
@Article{Birkhoff:1934:LEC,
author = "Garrett Birkhoff",
title = "Linear extensions of complex-valued linear functions
in {Banach} space",
journal = j-BULL-AMS,
volume = "40",
pages = "798--798",
year = "1934",
CODEN = "BAMOAD",
ISSN = "0002-9904 (print), 1936-881x (electronic)",
ISSN-L = "0002-9904",
bibdate = "Sun Oct 29 10:49:01 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/birkhoff-garrett.bib",
acknowledgement = ack-nhfb,
author-dates = "Garrett Birkhoff (19 January 1911--22 November 1996)",
fjournal = "Bulletin of the American Mathematical Society",
jfm = "60.1086.05",
journal-URL = "http://www.ams.org/journals/bull/all_issues.html",
ZBmath = "2540569",
}
@Article{Birkhoff:1934:LER,
author = "Garrett Birkhoff",
title = "Lattices of equivalence relations",
journal = j-BULL-AMS,
volume = "40",
pages = "797--797",
year = "1934",
CODEN = "BAMOAD",
ISSN = "0002-9904 (print), 1936-881x (electronic)",
ISSN-L = "0002-9904",
bibdate = "Sun Oct 29 10:49:01 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/birkhoff-garrett.bib",
acknowledgement = ack-nhfb,
author-dates = "Garrett Birkhoff (19 January 1911--22 November 1996)",
fjournal = "Bulletin of the American Mathematical Society",
jfm = "60.0916.08",
journal-URL = "http://www.ams.org/journals/bull/all_issues.html",
ZBmath = "2539986",
}
@Article{Birkhoff:1934:LTI,
author = "Garrett Birkhoff",
title = "On the lattice theory of ideals",
journal = j-BULL-AMS,
volume = "40",
number = "8",
pages = "613--619",
month = aug,
year = "1934",
CODEN = "BAMOAD",
DOI = "https://doi.org/10.1090/S0002-9904-1934-05928-7",
ISSN = "0002-9904 (print), 1936-881x (electronic)",
ISSN-L = "0002-9904",
bibdate = "Sun Oct 29 10:49:01 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/birkhoff-garrett.bib",
ZMnumber = "0009.39402",
acknowledgement = ack-nhfb,
author-dates = "Garrett Birkhoff (19 January 1911--22 November 1996)",
fjournal = "Bulletin of the American Mathematical Society",
GB-number = "6",
jfm = "60.0093.01; 60.0113.10",
journal-URL = "http://www.ams.org/journals/bull/all_issues.html",
ZBmath = "2537286, 2537354, 3014220",
}
@Article{Birkhoff:1934:MEL,
author = "Garrett Birkhoff",
title = "On monogenic extensions of linear functionals",
journal = j-BULL-AMS,
volume = "40",
pages = "798--798",
year = "1934",
CODEN = "BAMOAD",
ISSN = "0002-9904 (print), 1936-881x (electronic)",
ISSN-L = "0002-9904",
bibdate = "Sun Oct 29 10:49:01 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/birkhoff-garrett.bib",
acknowledgement = ack-nhfb,
author-dates = "Garrett Birkhoff (19 January 1911--22 November 1996)",
fjournal = "Bulletin of the American Mathematical Society",
jfm = "60.1086.06",
journal-URL = "http://www.ams.org/journals/bull/all_issues.html",
ZBmath = "2540570",
}
@Article{Birkhoff:1934:NPC,
author = "Garrett Birkhoff",
title = "Note on the paper ``{On} the combination of
subalgebras''",
journal = j-PROC-CAMBRIDGE-PHIL-SOC,
volume = "30",
number = "2",
pages = "200--200",
day = "30",
month = apr,
year = "1934",
CODEN = "PCPSA4",
DOI = "https://doi.org/10.1017/S0305004100016625",
ISSN = "0008-1981",
bibdate = "Sun Oct 29 10:49:01 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/birkhoff-garrett.bib",
ZMnumber = "0009.04905",
acknowledgement = ack-nhfb,
author-dates = "Garrett Birkhoff (19 January 1911--22 November 1996)",
fjournal = "Proceedings of the Cambridge Philosophical Society",
GB-number = "3a",
jfm = "60.0092.02",
journal-URL = "http://journals.cambridge.org/action/displayJournal?jid=PSP",
remark = "The author reports a connection to previous work of
Dedekind (Collected Works, 1931).",
ZBmath = "2537284; 3012899",
}
@Article{Birkhoff:1934:OIP,
author = "Garrett Birkhoff",
title = "Operational identities on points sets",
journal = j-BULL-AMS,
volume = "40",
pages = "800--801",
year = "1934",
CODEN = "BAMOAD",
ISSN = "0002-9904 (print), 1936-881x (electronic)",
ISSN-L = "0002-9904",
bibdate = "Sun Oct 29 10:49:01 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/birkhoff-garrett.bib",
acknowledgement = ack-nhfb,
author-dates = "Garrett Birkhoff (19 January 1911--22 November 1996)",
fjournal = "Bulletin of the American Mathematical Society",
jfm = "60.1086.07",
journal-URL = "http://www.ams.org/journals/bull/all_issues.html",
ZBmath = "2540571",
}
@Article{Birkhoff:1934:ONV,
author = "Garrett Birkhoff",
title = "Orthogonality in normed vector spaces",
journal = j-BULL-AMS,
volume = "40",
pages = "798--799",
year = "1934",
CODEN = "BAMOAD",
ISSN = "0002-9904 (print), 1936-881x (electronic)",
ISSN-L = "0002-9904",
bibdate = "Sun Oct 29 10:49:01 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/birkhoff-garrett.bib",
acknowledgement = ack-nhfb,
author-dates = "Garrett Birkhoff (19 January 1911--22 November 1996)",
fjournal = "Bulletin of the American Mathematical Society",
jfm = "60.0688.03",
journal-URL = "http://www.ams.org/journals/bull/all_issues.html",
ZBmath = "2539003",
}
@Article{Birkhoff:1934:PSA,
author = "Garrett Birkhoff",
title = "Problems and Solutions: Advanced Problems: Problems
for Solution: 3674",
journal = j-AMER-MATH-MONTHLY,
volume = "41",
number = "4",
pages = "269--270",
month = apr,
year = "1934",
CODEN = "AMMYAE",
ISSN = "0002-9890 (print), 1930-0972 (electronic)",
ISSN-L = "0002-9890",
bibdate = "Mon Jun 28 12:37:22 MDT 1999",
bibsource = "http://www.jstor.org/journals/00029890.htm;
https://www.math.utah.edu/pub/bibnet/authors/b/birkhoff-garrett.bib",
note = "See also
\cite{Birkhoff:1935:PSA,Dunkel:1935:PSAb,Escott:1935:PSA,Gaines:1935:PSS,Grossman:1935:PSAc,Jones:1935:PSAb}.",
acknowledgement = ack-nhfb,
author-dates = "Garrett Birkhoff (19 January 1911--22 November 1996)",
fjournal = "American Mathematical Monthly",
journal-URL = "http://www.jstor.org/journals/00029890.html",
xxnote = "Check pages??",
}
@Article{Birkhoff:1934:SAG,
author = "Garrett Birkhoff",
title = "Subgroups of {Abelian} groups",
journal = j-PROC-LONDON-MATH-SOC-2,
volume = "38",
pages = "385--401",
year = "1934",
CODEN = "PLMTAL",
DOI = "https://doi.org/10.1112/plms/s2-38.1.385",
ISSN = "0024-6115 (print), 1460-244x (electronic)",
ISSN-L = "0024-6115",
bibdate = "Sun Oct 29 10:49:01 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/birkhoff-garrett.bib",
ZMnumber = "0010.34304",
acknowledgement = ack-nhfb,
author-dates = "Garrett Birkhoff (19 January 1911--22 November 1996)",
fjournal = "Proceedings of the London Mathematical Society. Second
Series",
GB-number = "10",
jfm = "60.0893.03",
journal-URL = "https://londmathsoc.onlinelibrary.wiley.com/journal/1460244x",
ZBmath = "2539925, 3015767",
}
@Article{Birkhoff:1934:TEJ,
author = "Garrett Birkhoff",
title = "Transfinite extensions of the {Jordan--H{\"o}lder}
theorem",
journal = j-BULL-AMS,
volume = "40",
pages = "391--391",
year = "1934",
CODEN = "BAMOAD",
DOI = "https://doi.org/10.1090/S0002-9904-1934-05856-7",
ISSN = "0002-9904 (print), 1936-881x (electronic)",
ISSN-L = "0002-9904",
bibdate = "Sun Oct 29 10:49:01 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/birkhoff-garrett.bib",
acknowledgement = ack-nhfb,
author-dates = "Garrett Birkhoff (19 January 1911--22 November 1996)",
fjournal = "Bulletin of the American Mathematical Society",
jfm = "60.0112.06",
journal-URL = "http://www.ams.org/journals/bull/all_issues.html",
ZBmath = "2537341",
}
@Article{Birkhoff:1934:TSS,
author = "Garrett Birkhoff",
title = "Transfinite subgroup series",
journal = j-BULL-AMS,
volume = "40",
number = "12",
pages = "847--850",
month = dec,
year = "1934",
CODEN = "BAMOAD",
DOI = "https://doi.org/10.1090/S0002-9904-1934-05982-2",
ISSN = "0002-9904 (print), 1936-881x (electronic)",
ISSN-L = "0002-9904",
bibdate = "Sun Oct 29 10:49:01 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/birkhoff-garrett.bib",
ZMnumber = "0010.34303",
acknowledgement = ack-nhfb,
author-dates = "Garrett Birkhoff (19 January 1911--22 November 1996)",
fjournal = "Bulletin of the American Mathematical Society",
GB-number = "9",
jfm = "60.0892.02",
journal-URL = "http://www.ams.org/journals/bull/all_issues.html",
ZBmath = "2539919; 3015766",
}
@Article{Birkhoff:1934:TTSa,
author = "Garrett Birkhoff",
title = "The topology of transformation-sets",
journal = j-ANN-MATH-2,
volume = "35",
number = "4",
pages = "861--875",
month = oct,
year = "1934",
CODEN = "ANMAAH",
DOI = "https://doi.org/10.2307/1968499",
ISSN = "0003-486X (print), 1939-8980 (electronic)",
ISSN-L = "0003-486X",
MRclass = "54A20 99-04",
MRnumber = "1503201",
bibdate = "Sun Oct 29 10:49:01 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/birkhoff-garrett.bib",
ZMnumber = "0010.13304",
acknowledgement = ack-nhfb,
author-dates = "Garrett Birkhoff (19 January 1911--22 November 1996)",
fjournal = "Annals of Mathematics. Second Series",
GB-number = "8",
jfm = "60.1088.01",
journal-URL = "https://annals.math.princeton.edu/;
https://www.jstor.org/journal/annamath",
ZBmath = "3014922; 2540574",
}
@Article{Birkhoff:1934:TTSb,
author = "Garrett Birkhoff",
title = "The topology of transformation-sets",
journal = j-BULL-AMS,
volume = "40",
pages = "48--48",
year = "1934",
CODEN = "BAMOAD",
ISSN = "0002-9904 (print), 1936-881x (electronic)",
ISSN-L = "0002-9904",
bibdate = "Sun Oct 29 10:49:01 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/birkhoff-garrett.bib",
acknowledgement = ack-nhfb,
author-dates = "Garrett Birkhoff (19 January 1911--22 November 1996)",
fjournal = "Bulletin of the American Mathematical Society",
jfm = "60.0536.11",
journal-URL = "http://www.ams.org/journals/bull/all_issues.html",
ZBmath = "2538531",
}
@Article{Birkhoff:1935:ACGa,
author = "Garrett Birkhoff",
title = "Abstract continuous groups. {I}: {Linear} spaces",
journal = j-BULL-AMS,
volume = "41",
pages = "483--483",
year = "1935",
CODEN = "BAMOAD",
DOI = "https://doi.org/10.1090/S0002-9904-1935-06131-2",
ISSN = "0002-9904 (print), 1936-881x (electronic)",
ISSN-L = "0002-9904",
bibdate = "Sun Oct 29 10:49:01 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/birkhoff-garrett.bib",
acknowledgement = ack-nhfb,
author-dates = "Garrett Birkhoff (19 January 1911--22 November 1996)",
fjournal = "Bulletin of the American Mathematical Society",
jfm = "61.0479.04",
journal-URL = "http://www.ams.org/journals/bull/all_issues.html",
ZBmath = "2532509",
}
@Article{Birkhoff:1935:ACGb,
author = "Garrett Birkhoff",
title = "Abstract continuous groups",
journal = j-BULL-AMS,
volume = "41",
pages = "189--189",
year = "1935",
CODEN = "BAMOAD",
ISSN = "0002-9904 (print), 1936-881x (electronic)",
ISSN-L = "0002-9904",
bibdate = "Sun Oct 29 10:49:01 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/birkhoff-garrett.bib",
acknowledgement = ack-nhfb,
author-dates = "Garrett Birkhoff (19 January 1911--22 November 1996)",
fjournal = "Bulletin of the American Mathematical Society",
jfm = "61.0479.03",
journal-URL = "http://www.ams.org/journals/bull/all_issues.html",
ZBmath = "2532508",
}
@Article{Birkhoff:1935:ALD,
author = "Garrett Birkhoff",
title = "Abstract linear dependence and lattices",
journal = j-AM-J-MATH,
volume = "57",
pages = "800--804",
year = "1935",
CODEN = "AJMAAN",
DOI = "https://doi.org/10.2307/2371015",
ISSN = "0002-9327 (print), 1080-6377 (electronic)",
ISSN-L = "0002-9327",
MRclass = "05B35 06B05 15A03",
bibdate = "Sun Oct 29 10:49:01 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/birkhoff-garrett.bib",
ZMnumber = "0013.00104",
acknowledgement = ack-nhfb,
author-dates = "Garrett Birkhoff (19 January 1911--22 November 1996)",
fjournal = "American Journal of Mathematics",
GB-number = "16",
jfm = "61.1027.01",
journal-URL = "https://www.jstor.org/journal/amerjmath",
ZBmath = "3019694; 2534482",
}
@Article{Birkhoff:1935:CMA,
author = "Garrett Birkhoff",
title = "The composition of modular algebras",
journal = j-BULL-AMS,
volume = "41",
pages = "782--782",
year = "1935",
CODEN = "BAMOAD",
DOI = "https://doi.org/10.1090/S0002-9904-1935-06194-4",
ISSN = "0002-9904 (print), 1936-881x (electronic)",
ISSN-L = "0002-9904",
bibdate = "Sun Oct 29 10:49:01 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/birkhoff-garrett.bib",
acknowledgement = ack-nhfb,
author-dates = "Garrett Birkhoff (19 January 1911--22 November 1996)",
fjournal = "Bulletin of the American Mathematical Society",
jfm = "61.1044.06",
journal-URL = "http://www.ams.org/journals/bull/all_issues.html",
ZBmath = "2534544",
}
@Article{Birkhoff:1935:CRP,
author = "Garrett Birkhoff",
title = "Combinatorial relations in projective geometries",
journal = j-ANN-MATH-2,
volume = "36",
number = "3",
pages = "743--748",
month = jul,
year = "1935",
CODEN = "ANMAAH",
DOI = "https://doi.org/10.2307/1968656",
ISSN = "0003-486X (print), 1939-8980 (electronic)",
ISSN-L = "0003-486X",
MRclass = "99-04",
MRnumber = "1503250",
bibdate = "Sun Oct 29 10:49:01 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/birkhoff-garrett.bib",
ZMnumber = "0012.08205",
acknowledgement = ack-nhfb,
author-dates = "Garrett Birkhoff (19 January 1911--22 November 1996)",
fjournal = "Annals of Mathematics. Second Series",
GB-number = "12",
jfm = "61.0593.01",
journal-URL = "https://annals.math.princeton.edu/;
https://www.jstor.org/journal/annamath",
ZBmath = "3018249; 2532914",
}
@Article{Birkhoff:1935:CT,
author = "Garrett Birkhoff",
title = "On the combination of topologies",
journal = j-BULL-AMS,
volume = "41",
pages = "349--349",
year = "1935",
CODEN = "BAMOAD",
ISSN = "0002-9904 (print), 1936-881x (electronic)",
ISSN-L = "0002-9904",
bibdate = "Sun Oct 29 10:49:01 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/birkhoff-garrett.bib",
acknowledgement = ack-nhfb,
author-dates = "Garrett Birkhoff (19 January 1911--22 November 1996)",
fjournal = "Bulletin of the American Mathematical Society",
jfm = "61.0641.21",
journal-URL = "http://www.ams.org/journals/bull/all_issues.html",
ZBmath = "2533055",
}
@Article{Birkhoff:1935:ED,
author = "Garrett Birkhoff",
title = "Sur les espaces discrets",
journal = j-C-R-ACAD-SCI-PARIS,
volume = "201",
pages = "19--20",
year = "1935",
ISSN = "0001-4036 (print), 2419-6304 (electronic)",
bibdate = "Sun Oct 29 10:49:01 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/birkhoff-garrett.bib",
ZMnumber = "0012.22702",
acknowledgement = ack-nhfb,
author-dates = "Garrett Birkhoff (19 January 1911--22 November 1996)",
fjournal = "Comptes Rendus Hebdomadaires des S{\'e}ances de
l'Acad{\'e}mie des Sciences, Paris",
GB-number = "13",
jfm = "61.0629.02",
journal-URL = "http://gallica.bnf.fr/ark:/12148/cb343481087/date",
language = "French",
ZBmath = "3018863; 2532990",
}
@Article{Birkhoff:1935:GMPa,
author = "G. D. Birkhoff and M. R. Hestenes",
title = "Generalized Minimax Principle in the Calculus of
Variations",
journal = j-PROC-NATL-ACAD-SCI-USA,
volume = "21",
number = "2",
pages = "96--99",
day = "1",
month = feb,
year = "1935",
CODEN = "PNASA6",
DOI = "https://doi.org/10.1073/pnas.21.2.96",
ISSN = "0027-8424 (print), 1091-6490 (electronic)",
ISSN-L = "0027-8424",
bibdate = "Wed Oct 25 10:45:03 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/birkhoff-garrett.bib;
https://www.math.utah.edu/pub/bibnet/authors/h/hestenes-magnus-r.bib",
acknowledgement = ack-nhfb,
author-dates = "Garrett Birkhoff (19 January 1911--22 November 1996);
Magnus Rudolf Hestenes (13 February 1906--31 May
1991)",
fjournal = "Proceedings of the National Academy of Sciences of the
United States of America",
journal-URL = "http://www.pnas.org/content/by/year",
}
@Article{Birkhoff:1935:GMPb,
author = "G. D. Birkhoff and M. R. Hestenes",
title = "Generalized minimax principle in the calculus of
variations",
journal = j-DUKE-MATH-J,
volume = "1",
number = "4",
pages = "413--432",
month = dec,
year = "1935",
CODEN = "DUMJAO",
DOI = "https://doi.org/10.1215/S0012-7094-35-00128-4",
ISSN = "0012-7094 (print), 1547-7398 (electronic)",
ISSN-L = "0012-7094",
MRclass = "99-04",
MRnumber = "1545886",
bibdate = "Tue Oct 24 13:24:42 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/birkhoff-garrett.bib;
https://www.math.utah.edu/pub/bibnet/authors/h/hestenes-magnus-r.bib",
acknowledgement = ack-nhfb,
author-dates = "Garrett Birkhoff (19 January 1911--22 November 1996);
Magnus Rudolf Hestenes (13 February 1906--31 May
1991)",
fjournal = "Duke Mathematical Journal",
journal-URL = "http://projecteuclid.org/info/euclid.dmj",
}
@Article{Birkhoff:1935:IFV,
author = "Garrett Birkhoff",
title = "Integration of functions with values in a {Banach}
space",
journal = j-TRANS-AM-MATH-SOC,
volume = "38",
number = "2",
pages = "357--378",
month = sep,
year = "1935",
CODEN = "TAMTAM",
DOI = "https://doi.org/10.2307/1989687",
ISSN = "0002-9947 (print), 1088-6850 (electronic)",
ISSN-L = "0002-9947",
MRclass = "28B05 (46G10)",
MRnumber = "1501815",
bibdate = "Sun Oct 29 10:49:01 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/birkhoff-garrett.bib",
ZMnumber = "0013.00803",
acknowledgement = ack-nhfb,
author-dates = "Garrett Birkhoff (19 January 1911--22 November 1996)",
fjournal = "Transactions of the American Mathematical Society",
GB-number = "14",
jfm = "61.0234.01",
journal-URL = "http://www.ams.org/journals/tran/",
ZBmath = "3019718; 2531862",
}
@Article{Birkhoff:1935:LTI,
author = "Garrett Birkhoff",
title = "On the lattice theory of ideals. {II}",
journal = j-BULL-AMS,
volume = "41",
pages = "37--37",
year = "1935",
CODEN = "BAMOAD",
ISSN = "0002-9904 (print), 1936-881x (electronic)",
ISSN-L = "0002-9904",
bibdate = "Sun Oct 29 10:49:01 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/birkhoff-garrett.bib",
acknowledgement = ack-nhfb,
author-dates = "Garrett Birkhoff (19 January 1911--22 November 1996)",
fjournal = "Bulletin of the American Mathematical Society",
jfm = "61.0127.03",
journal-URL = "http://www.ams.org/journals/bull/all_issues.html",
ZBmath = "2531535",
}
@Article{Birkhoff:1935:LTL,
author = "Garrett Birkhoff",
title = "On the lattice theory of linear dependence",
journal = j-BULL-AMS,
volume = "41",
pages = "332--332",
year = "1935",
CODEN = "BAMOAD",
ISSN = "0002-9904 (print), 1936-881x (electronic)",
ISSN-L = "0002-9904",
bibdate = "Sun Oct 29 10:49:01 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/birkhoff-garrett.bib",
acknowledgement = ack-nhfb,
author-dates = "Garrett Birkhoff (19 January 1911--22 November 1996)",
fjournal = "Bulletin of the American Mathematical Society",
jfm = "61.0997.10",
journal-URL = "http://www.ams.org/journals/bull/all_issues.html",
ZBmath = "2534377",
}
@Article{Birkhoff:1935:NCI,
author = "Garrett Birkhoff",
title = "Non-commutative integration",
journal = j-BULL-AMS,
volume = "41",
pages = "182--182",
year = "1935",
CODEN = "BAMOAD",
DOI = "https://doi.org/10.1090/S0002-9904-1935-06073-2",
ISSN = "0002-9904 (print), 1936-881x (electronic)",
ISSN-L = "0002-9904",
bibdate = "Sun Oct 29 10:49:01 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/birkhoff-garrett.bib",
acknowledgement = ack-nhfb,
author-dates = "Garrett Birkhoff (19 January 1911--22 November 1996)",
fjournal = "Bulletin of the American Mathematical Society",
jfm = "61.0248.04",
journal-URL = "http://www.ams.org/journals/bull/all_issues.html",
ZBmath = "2531906",
}
@Article{Birkhoff:1935:NDL,
author = "Garrett Birkhoff",
title = "A new definition of limit",
journal = j-BULL-AMS,
volume = "41",
pages = "636--636",
year = "1935",
CODEN = "BAMOAD",
ISSN = "0002-9904 (print), 1936-881x (electronic)",
ISSN-L = "0002-9904",
bibdate = "Sun Oct 29 10:49:01 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/birkhoff-garrett.bib",
acknowledgement = ack-nhfb,
author-dates = "Garrett Birkhoff (19 January 1911--22 November 1996)",
fjournal = "Bulletin of the American Mathematical Society",
jfm = "61.0641.20",
journal-URL = "http://www.ams.org/journals/bull/all_issues.html",
ZBmath = "2533054",
}
@Article{Birkhoff:1935:NICa,
author = "G. D. Birkhoff and M. R. Hestenes",
title = "Natural Isoperimetric Conditions in the Calculus of
Variations",
journal = j-PROC-NATL-ACAD-SCI-USA,
volume = "21",
number = "2",
pages = "99--102",
day = "1",
month = feb,
year = "1935",
CODEN = "PNASA6",
DOI = "https://doi.org/10.1073/pnas.21.2.99",
ISSN = "0027-8424 (print), 1091-6490 (electronic)",
ISSN-L = "0027-8424",
bibdate = "Wed Oct 25 10:45:03 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/birkhoff-garrett.bib;
https://www.math.utah.edu/pub/bibnet/authors/h/hestenes-magnus-r.bib",
acknowledgement = ack-nhfb,
author-dates = "Garrett Birkhoff (19 January 1911--22 November 1996);
Magnus Rudolf Hestenes (13 February 1906--31 May
1991)",
fjournal = "Proceedings of the National Academy of Sciences of the
United States of America",
journal-URL = "http://www.pnas.org/content/by/year",
}
@Article{Birkhoff:1935:NICb,
author = "G. D. Birkhoff and M. R. Hestenes",
title = "Natural Isoperimetric Conditions in the Calculus of
Variations",
journal = j-DUKE-MATH-J,
volume = "1",
number = "2",
month = jun,
year = "1935",
CODEN = "DUMJAO",
DOI = "https://doi.org/10.1215/s0012-7094-35-00118-1",
ISSN = "0012-7094 (print), 1547-7398 (electronic)",
ISSN-L = "0012-7094",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/birkhoff-garrett.bib;
https://www.math.utah.edu/pub/bibnet/authors/h/hestenes-magnus-r.bib",
author-dates = "Garrett Birkhoff (19 January 1911--22 November 1996);
Magnus Rudolf Hestenes (13 February 1906--31 May
1991)",
fjournal = "Duke Mathematical Journal",
journal-URL = "http://projecteuclid.org/info/euclid.dmj",
}
@Article{Birkhoff:1935:OLM,
author = "Garrett Birkhoff",
title = "Orthogonality in linear metric spaces",
journal = j-DUKE-MATH-J,
volume = "1",
number = "2",
pages = "169--172",
month = jun,
year = "1935",
CODEN = "DUMJAO",
DOI = "https://doi.org/10.1215/S0012-7094-35-00115-6",
ISSN = "0012-7094 (print), 1547-7398 (electronic)",
ISSN-L = "0012-7094",
MRclass = "99-04",
MRnumber = "1545873",
bibdate = "Sun Oct 29 10:49:01 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/birkhoff-garrett.bib",
ZMnumber = "0012.30604",
acknowledgement = ack-nhfb,
author-dates = "Garrett Birkhoff (19 January 1911--22 November 1996)",
fjournal = "Duke Mathematical Journal",
GB-number = "11",
jfm = "61.0634.01",
journal-URL = "http://projecteuclid.org/info/euclid.dmj",
ZBmath = "3019176; 2533007",
}
@Article{Birkhoff:1935:PSA,
author = "Garrett Birkhoff and E. D. Rainville and Morgan Ward",
title = "Problems and Solutions: Advanced Problems: 3674",
journal = j-AMER-MATH-MONTHLY,
volume = "42",
number = "8",
pages = "518--521",
month = oct,
year = "1935",
CODEN = "AMMYAE",
ISSN = "0002-9890 (print), 1930-0972 (electronic)",
ISSN-L = "0002-9890",
bibdate = "Mon Jun 28 12:37:55 MDT 1999",
bibsource = "http://www.jstor.org/journals/00029890.htm;
https://www.math.utah.edu/pub/bibnet/authors/b/birkhoff-garrett.bib",
note = "See also \cite{Escott:1934:PSA}.",
acknowledgement = ack-nhfb,
author-dates = "Garrett Birkhoff (19 January 1911--22 November 1996)",
fjournal = "American Mathematical Monthly",
journal-URL = "http://www.jstor.org/journals/00029890.html",
}
@Article{Birkhoff:1935:PSL,
author = "Garrett Birkhoff",
title = "Postulates systems for {Lie} groups",
journal = j-BULL-AMS,
volume = "41",
pages = "329--329",
year = "1935",
CODEN = "BAMOAD",
ISSN = "0002-9904 (print), 1936-881x (electronic)",
ISSN-L = "0002-9904",
bibdate = "Sun Oct 29 10:49:01 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/birkhoff-garrett.bib",
acknowledgement = ack-nhfb,
author-dates = "Garrett Birkhoff (19 January 1911--22 November 1996)",
fjournal = "Bulletin of the American Mathematical Society",
jfm = "61.0479.02",
journal-URL = "http://www.ams.org/journals/bull/all_issues.html",
ZBmath = "2532507",
}
@Article{Birkhoff:1935:SAA,
author = "Garrett Birkhoff",
title = "On the structure of abstract algebras",
journal = j-PROC-CAMBRIDGE-PHIL-SOC,
volume = "31",
number = "4",
pages = "433--454",
month = oct,
year = "1935",
CODEN = "PCPSA4",
DOI = "https://doi.org/10.1017/S0305004100013463",
ISSN = "0008-1981",
MRclass = "08A05 08A02 08A35 06B05",
bibdate = "Sun Oct 29 10:49:01 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/birkhoff-garrett.bib",
ZMnumber = "0013.00105",
acknowledgement = ack-nhfb,
author-dates = "Garrett Birkhoff (19 January 1911--22 November 1996)",
fjournal = "Proceedings of the Cambridge Philosophical Society",
GB-number = "15",
jfm = "61.1026.07",
journal-URL = "http://journals.cambridge.org/action/displayJournal?jid=PSP",
ZBmath = "3019695; 2534481",
}
@Article{Birkhoff:1936:CFG,
author = "Garrett Birkhoff",
title = "Continuous free groups",
journal = j-BULL-AMS,
volume = "42",
pages = "340--340",
year = "1936",
CODEN = "BAMOAD",
DOI = "https://doi.org/10.1090/S0002-9904-1936-06457-8",
ISSN = "0002-9904 (print), 1936-881x (electronic)",
ISSN-L = "0002-9904",
bibdate = "Sun Oct 29 10:49:01 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/birkhoff-garrett.bib",
acknowledgement = ack-nhfb,
author-dates = "Garrett Birkhoff (19 January 1911--22 November 1996)",
fjournal = "Bulletin of the American Mathematical Society",
jfm = "62.0447.04",
journal-URL = "http://www.ams.org/journals/bull/all_issues.html",
ZBmath = "2526421",
}
@Article{Birkhoff:1936:CGL,
author = "Garrett Birkhoff",
title = "Continuous groups and linear spaces",
journal = "Rec. Math. Moscou, n. Ser.",
volume = "1",
pages = "635--642",
year = "1936",
bibdate = "Sun Oct 29 10:49:01 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/birkhoff-garrett.bib",
ZMnumber = "0016.20401",
acknowledgement = ack-nhfb,
author-dates = "Garrett Birkhoff (19 January 1911--22 November 1996)",
fjournal = "Recueil Math{\'e}matique. Nouvelle S{\'e}rie",
GB-number = "26",
jfm = "62.1231.03",
xxjournal = "Mat. Sbornik, N.S.",
ZBmath = "3025704; 2529312",
}
@Article{Birkhoff:1936:CT,
author = "Garrett Birkhoff",
title = "On the combination of topologies",
journal = j-FUNDAM-MATH,
volume = "26",
pages = "156--166",
year = "1936",
DOI = "https://doi.org/10.4064/fm-26-1-156-166",
ISSN = "0016-2736 (print), 1730-6329 (electronic)",
ISSN-L = "0016-2736",
bibdate = "Sun Oct 29 10:49:01 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/birkhoff-garrett.bib",
ZMnumber = "0013.36804; 0014.28002",
acknowledgement = ack-nhfb,
author-dates = "Garrett Birkhoff (19 January 1911--22 November 1996)",
fjournal = "Fundamenta Mathematicae",
GB-number = "18",
jfm = "62.0688.05",
journal-URL = "https://www.impan.pl/en/publishing-house/journals-and-series/fundamenta-mathematicae/all",
ZBmath = "2527200; 3022559; 3021183",
}
@Article{Birkhoff:1936:EDL,
author = "Garrett Birkhoff",
title = "The enumeration of distributive lattices",
journal = j-BULL-AMS,
volume = "42",
pages = "487--487",
year = "1936",
CODEN = "BAMOAD",
DOI = "https://doi.org/10.1090/S0002-9904-1936-06457-8",
ISSN = "0002-9904 (print), 1936-881x (electronic)",
ISSN-L = "0002-9904",
bibdate = "Sun Oct 29 10:49:01 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/birkhoff-garrett.bib",
acknowledgement = ack-nhfb,
author-dates = "Garrett Birkhoff (19 January 1911--22 November 1996)",
fjournal = "Bulletin of the American Mathematical Society",
jfm = "62.0048.19",
journal-URL = "http://www.ams.org/journals/bull/all_issues.html",
ZBmath = "2525194",
}
@Article{Birkhoff:1936:FCG,
author = "Garrett Birkhoff",
title = "Free continuous groups. {II}",
journal = j-BULL-AMS,
volume = "42",
pages = "344--344",
year = "1936",
CODEN = "BAMOAD",
DOI = "https://doi.org/10.1090/S0002-9904-1936-06457-8",
ISSN = "0002-9904 (print), 1936-881x (electronic)",
ISSN-L = "0002-9904",
bibdate = "Sun Oct 29 10:49:01 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/birkhoff-garrett.bib",
acknowledgement = ack-nhfb,
author-dates = "Garrett Birkhoff (19 January 1911--22 November 1996)",
fjournal = "Bulletin of the American Mathematical Society",
jfm = "62.0447.05",
journal-URL = "http://www.ams.org/journals/bull/all_issues.html",
ZBmath = "2526422",
}
@InProceedings{Birkhoff:1936:IDE,
author = "Garrett Birkhoff",
booktitle = "C. R. Congr. internat. Math., Oslo 1936",
title = "Integration of differential equations",
volume = "2",
publisher = "????",
address = "????",
pages = "50--51",
year = "1936",
bibdate = "Sun Oct 29 10:49:01 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/birkhoff-garrett.bib",
acknowledgement = ack-nhfb,
author-dates = "Garrett Birkhoff (19 January 1911--22 November 1996)",
GB-number = "17",
jfm = "63.0436.03",
ZBmath = "2521040",
}
@Article{Birkhoff:1936:LGI,
author = "Garrett Birkhoff",
title = "{Lie} groups isomorphic in the large with no linear
groups",
journal = j-BULL-AMS,
volume = "42",
pages = "344--344",
year = "1936",
CODEN = "BAMOAD",
DOI = "https://doi.org/10.1090/S0002-9904-1936-06457-8",
ISSN = "0002-9904 (print), 1936-881x (electronic)",
ISSN-L = "0002-9904",
bibdate = "Sun Oct 29 10:49:01 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/birkhoff-garrett.bib",
acknowledgement = ack-nhfb,
author-dates = "Garrett Birkhoff (19 January 1911--22 November 1996)",
fjournal = "Bulletin of the American Mathematical Society",
jfm = "62.0447.07",
journal-URL = "http://www.ams.org/journals/bull/all_issues.html",
ZBmath = "2526424",
}
@Article{Birkhoff:1936:LGS,
author = "Garrett Birkhoff",
title = "{Lie} groups simply isomorphic with no linear group",
journal = j-BULL-AMS,
volume = "42",
number = "12",
pages = "883--888",
month = dec,
year = "1936",
CODEN = "BAMOAD",
DOI = "https://doi.org/10.1090/S0002-9904-1936-06457-8",
ISSN = "0002-9904 (print), 1936-881x (electronic)",
ISSN-L = "0002-9904",
MRclass = "99-04",
MRnumber = "1563459",
bibdate = "Sun Oct 29 10:49:01 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/birkhoff-garrett.bib",
ZMnumber = "0016.01502",
acknowledgement = ack-nhfb,
author-dates = "Garrett Birkhoff (19 January 1911--22 November 1996)",
fjournal = "Bulletin of the American Mathematical Society",
GB-number = "22",
jfm = "62.0442.02; 62.0447.08",
journal-URL = "http://www.ams.org/journals/bull/all_issues.html",
ZBmath = "2526402; 3024952; 2526425",
}
@Article{Birkhoff:1936:LQM,
author = "Garrett Birkhoff and John von Neumann",
title = "The logic of quantum mechanics",
journal = j-ANN-MATH-2,
volume = "37",
number = "4",
pages = "823--843",
month = oct,
year = "1936",
CODEN = "ANMAAH",
DOI = "https://doi.org/10.2307/1968621",
ISSN = "0003-486X (print), 1939-8980 (electronic)",
ISSN-L = "0003-486X",
MRclass = "03G12 81P10 99-04",
MRnumber = "1503312",
bibdate = "Sun Oct 29 10:49:01 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/birkhoff-garrett.bib;
https://www.math.utah.edu/pub/bibnet/authors/v/von-neumann-john.bib;
https://www.math.utah.edu/pub/mirrors/ftp.ira.uka.de/bibliography/Theory/logic.bib",
note = "Reprinted in \cite[Paper 7]{Taub:1962:JNC}.",
ZMnumber = "0015.14603",
acknowledgement = ack-nhfb,
author-dates = "Garrett Birkhoff (19 January 1911--22 November 1996)",
fjournal = "Annals of Mathematics. Second Series",
GB-number = "21",
jfm = "62.1061.04",
journal-URL = "https://annals.math.princeton.edu/;
https://www.jstor.org/journal/annamath",
ZBmath = "3023737; 2528684",
}
@Article{Birkhoff:1936:LRN,
author = "Garrett Birkhoff",
title = "Linear representability of nilpotent {Lie} algebras",
journal = j-BULL-AMS,
volume = "42",
pages = "624--624",
year = "1936",
CODEN = "BAMOAD",
DOI = "https://doi.org/10.1090/S0002-9904-1936-06457-8",
ISSN = "0002-9904 (print), 1936-881x (electronic)",
ISSN-L = "0002-9904",
bibdate = "Sun Oct 29 10:49:01 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/birkhoff-garrett.bib",
acknowledgement = ack-nhfb,
author-dates = "Garrett Birkhoff (19 January 1911--22 November 1996)",
fjournal = "Bulletin of the American Mathematical Society",
jfm = "62.0122.02",
journal-URL = "http://www.ams.org/journals/bull/all_issues.html",
ZBmath = "2525440",
}
@Article{Birkhoff:1936:MSC,
author = "Garrett Birkhoff",
title = "Moore-{Smith} convergence in general topology",
journal = j-BULL-AMS,
volume = "42",
pages = "44--44",
year = "1936",
CODEN = "BAMOAD",
DOI = "https://doi.org/10.1090/S0002-9904-1936-06457-8",
ISSN = "0002-9904 (print), 1936-881x (electronic)",
ISSN-L = "0002-9904",
bibdate = "Sun Oct 29 10:49:01 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/birkhoff-garrett.bib",
acknowledgement = ack-nhfb,
author-dates = "Garrett Birkhoff (19 January 1911--22 November 1996)",
fjournal = "Bulletin of the American Mathematical Society",
jfm = "62.0695.17",
journal-URL = "http://www.ams.org/journals/bull/all_issues.html",
ZBmath = "2527245",
}
@Article{Birkhoff:1936:NTGa,
author = "Garrett Birkhoff",
title = "A note on topological groups",
journal = j-BULL-AMS,
volume = "42",
pages = "26--26",
year = "1936",
CODEN = "BAMOAD",
DOI = "https://doi.org/10.1090/S0002-9904-1936-06457-8",
ISSN = "0002-9904 (print), 1936-881x (electronic)",
ISSN-L = "0002-9904",
bibdate = "Sun Oct 29 10:49:01 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/birkhoff-garrett.bib",
acknowledgement = ack-nhfb,
author-dates = "Garrett Birkhoff (19 January 1911--22 November 1996)",
fjournal = "Bulletin of the American Mathematical Society",
jfm = "62.0446.03",
journal-URL = "http://www.ams.org/journals/bull/all_issues.html",
ZBmath = "2526416",
}
@Article{Birkhoff:1936:NTGb,
author = "Garrett Birkhoff",
title = "A note on topological groups",
journal = j-COMPOS-MATH,
volume = "3",
pages = "427--430",
year = "1936",
CODEN = "CMPMAF",
ISSN = "0010-437x (print), 1570-5846 (electronic)",
ISSN-L = "0010-437X",
bibdate = "Sun Oct 29 10:49:01 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/birkhoff-garrett.bib",
ZMnumber = "0015.00702",
acknowledgement = ack-nhfb,
author-dates = "Garrett Birkhoff (19 January 1911--22 November 1996)",
fjournal = "Compositio Mathematica",
GB-number = "20",
jfm = "62.0434.03",
ZBmath = "2526385; 3023204",
}
@Article{Birkhoff:1936:OGA,
author = "Garrett Birkhoff and Philip Hall",
title = "On the order of groups of automorphisms",
journal = j-TRANS-AM-MATH-SOC,
volume = "39",
number = "3",
pages = "496--499",
month = may,
year = "1936",
CODEN = "TAMTAM",
DOI = "https://doi.org/10.1090/S0002-9947-1936-1501860-9;
https://doi.org/10.2307/1989764",
ISSN = "0002-9947 (print), 1088-6850 (electronic)",
ISSN-L = "0002-9947",
MRclass = "20D45",
MRnumber = "1501860",
bibdate = "Sun Oct 29 10:49:01 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/birkhoff-garrett.bib",
ZMnumber = "0014.15002",
acknowledgement = ack-nhfb,
author-dates = "Garrett Birkhoff (19 January 1911--22 November 1996)",
fjournal = "Transactions of the American Mathematical Society",
GB-number = "19",
jfm = "62.0082.01",
journal-URL = "http://www.ams.org/journals/tran/",
ZBmath = "3022066; 2525319",
}
@Article{Birkhoff:1936:POS,
author = "Garrett Birkhoff",
title = "Partially ordered sets and the inclusion relation",
journal = j-BULL-AMS,
volume = "42",
pages = "43--44",
year = "1936",
CODEN = "BAMOAD",
DOI = "https://doi.org/10.1090/S0002-9904-1936-06457-8",
ISSN = "0002-9904 (print), 1936-881x (electronic)",
ISSN-L = "0002-9904",
bibdate = "Sun Oct 29 10:49:01 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/birkhoff-garrett.bib",
acknowledgement = ack-nhfb,
author-dates = "Garrett Birkhoff (19 January 1911--22 November 1996)",
fjournal = "Bulletin of the American Mathematical Society",
jfm = "62.0048.18",
journal-URL = "http://www.ams.org/journals/bull/all_issues.html",
ZBmath = "2525193",
}
@Article{Birkhoff:1937:EA,
author = "Garrett Birkhoff",
title = "An extended arithmetic",
journal = j-DUKE-MATH-J,
volume = "3",
number = "2",
pages = "311--316",
month = jun,
year = "1937",
CODEN = "DUMJAO",
DOI = "https://doi.org/10.1215/S0012-7094-37-00323-5",
ISSN = "0012-7094 (print), 1547-7398 (electronic)",
ISSN-L = "0012-7094",
bibdate = "Sun Oct 29 10:49:01 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/birkhoff-garrett.bib",
ZMnumber = "0016.38702",
acknowledgement = ack-nhfb,
author-dates = "Garrett Birkhoff (19 January 1911--22 November 1996)",
fjournal = "Duke Mathematical Journal",
GB-number = "28",
jfm = "63.0030.06",
journal-URL = "http://projecteuclid.org/info/euclid.dmj",
ZBmath = "3026424; 2519821",
}
@InProceedings{Birkhoff:1937:GC,
author = "Garrett Birkhoff",
booktitle = "C. R. Congr. internat. Math., Oslo 1936",
title = "Generalized convergence",
volume = "2",
publisher = "????",
address = "????",
pages = "152--153",
year = "1937",
bibdate = "Sun Oct 29 10:49:01 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/birkhoff-garrett.bib",
acknowledgement = ack-nhfb,
author-dates = "Garrett Birkhoff (19 January 1911--22 November 1996)",
GB-number = "17",
jfm = "63.0572.08",
ZBmath = "2521516",
}
@Article{Birkhoff:1937:GGT,
author = "Garrett Birkhoff",
title = "{Galois} and Group Theory",
journal = j-OSIRIS,
volume = "3",
number = "31",
pages = "260--268",
month = "????",
year = "1937",
CODEN = "OSIRAX",
DOI = "https://doi.org/10.2307/301590",
ISSN = "0369-7827 (print), 1933-8287 (electronic)",
ISSN-L = "0369-7827",
bibdate = "Mon Mar 30 15:08:56 MDT 2015",
bibsource = "http://www.jstor.org/action/showPublication?journalCode=osiris;
http://www.jstor.org/stable/i213314;
https://www.math.utah.edu/pub/bibnet/authors/b/birkhoff-garrett.bib;
https://www.math.utah.edu/pub/bibnet/authors/i/infeld-leopold.bib;
https://www.math.utah.edu/pub/tex/bib/osiris.bib",
URL = "http://www.jstor.org/stable/301590",
acknowledgement = ack-nhfb,
author-dates = "Garrett Birkhoff (19 January 1911--22 November 1996)",
fjournal = "Osiris",
GB-number = "31",
jfm = "63.0810.04",
journal-URL = "http://www.jstor.org/page/journal/osiris/about.html",
ZBmath = "2522446",
}
@Article{Birkhoff:1937:IO,
author = "Garrett Birkhoff",
title = "On the integration of operators",
journal = j-PROC-NATL-ACAD-SCI-USA,
volume = "23",
number = "1",
pages = "11--13",
day = "1",
month = jan,
year = "1937",
CODEN = "PNASA6",
DOI = "https://doi.org/10.1073/pnas.23.1.11",
ISSN = "0027-8424 (print), 1091-6490 (electronic)",
ISSN-L = "0027-8424",
bibdate = "Sun Oct 29 10:49:01 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/birkhoff-garrett.bib",
ZMnumber = "0016.06103",
acknowledgement = ack-nhfb,
author-dates = "Garrett Birkhoff (19 January 1911--22 November 1996)",
fjournal = "Proceedings of the National Academy of Sciences of the
United States of America",
GB-number = "23",
jfm = "63.0423.02",
journal-URL = "http://www.pnas.org/content/by/year",
ZBmath = "3025146; 2521011",
}
@Article{Birkhoff:1937:MC,
author = "Garrett Birkhoff",
title = "The meaning of completeness",
journal = j-ANN-MATH-2,
volume = "38",
number = "1",
pages = "57--60",
month = jan,
year = "1937",
CODEN = "ANMAAH",
DOI = "https://doi.org/10.2307/1968509",
ISSN = "0003-486X (print), 1939-8980 (electronic)",
ISSN-L = "0003-486X",
MRclass = "99-04",
MRnumber = "1503324",
bibdate = "Sun Oct 29 10:49:01 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/birkhoff-garrett.bib",
ZMnumber = "0016.08503",
acknowledgement = ack-nhfb,
author-dates = "Garrett Birkhoff (19 January 1911--22 November 1996)",
fjournal = "Annals of Mathematics. Second Series",
GB-number = "25",
jfm = "63.0568.01",
journal-URL = "https://annals.math.princeton.edu/;
https://www.jstor.org/journal/annamath",
ZBmath = "3025226; 2521493",
}
@Article{Birkhoff:1937:MSC,
author = "Garrett Birkhoff",
title = "{Moore--Smith} convergence in general topology",
journal = j-ANN-MATH-2,
volume = "38",
number = "1",
pages = "39--56",
month = jan,
year = "1937",
CODEN = "ANMAAH",
DOI = "https://doi.org/10.2307/1968508",
ISSN = "0003-486X (print), 1939-8980 (electronic)",
ISSN-L = "0003-486X",
MRclass = "99-04",
MRnumber = "1503323",
bibdate = "Sun Oct 29 10:49:01 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/birkhoff-garrett.bib",
ZMnumber = "0016.08502",
acknowledgement = ack-nhfb,
author-dates = "Garrett Birkhoff (19 January 1911--22 November 1996)",
fjournal = "Annals of Mathematics. Second Series",
GB-number = "24",
jfm = "63.0567.06",
journal-URL = "https://annals.math.princeton.edu/;
https://www.jstor.org/journal/annamath",
ZBmath = "3025225; 2521492",
}
@InProceedings{Birkhoff:1937:OIR,
author = "Garrett Birkhoff",
booktitle = "C. R. Congr. internat. Math., Oslo 1936",
title = "Order and the inclusion relation",
publisher = "????",
address = "????",
pages = "37--37",
year = "1937",
bibdate = "Sun Oct 29 10:49:01 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/birkhoff-garrett.bib",
acknowledgement = ack-nhfb,
author-dates = "Garrett Birkhoff (19 January 1911--22 November 1996)",
GB-number = "17",
jfm = "63.0031.05",
ZBmath = "2519826",
}
@Misc{Birkhoff:1937:OTA,
author = "Garrett Birkhoff",
title = "Offprints of two articles by {Garrett Birkhoff}",
howpublished = "UK National Archives",
year = "1937",
bibdate = "Sat Nov 04 06:42:15 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/birkhoff-garrett.bib",
note = "Offprints of \cite{Birkhoff:1936:LGS} and
\cite{Birkhoff:1937:RLA}.",
URL = "https://discovery.nationalarchives.gov.uk/details/r/8e10cc1c-25fa-4793-a52c-583255326a3d",
acknowledgement = ack-nhfb,
author-dates = "Garrett Birkhoff (19 January 1911--22 November 1996)",
}
@Article{Birkhoff:1937:PI,
author = "Garrett Birkhoff",
title = "On Product Integration",
journal = j-J-MATH-PHYS-MIT,
volume = "16",
number = "1--4",
pages = "104--132",
month = apr,
year = "1937",
CODEN = "JMPHA9",
DOI = "https://doi.org/10.1002/sapm1937161104",
ISSN = "0097-1421",
ISSN-L = "0097-1421",
bibdate = "Sun Oct 29 10:49:01 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/birkhoff-garrett.bib;
https://www.math.utah.edu/pub/tex/bib/jmathphysmit.bib",
URL = "https://onlinelibrary.wiley.com/doi/epdf/10.1002/sapm1937161104",
ZMnumber = "0018.13402",
acknowledgement = ack-nhfb,
ajournal = "J. Math. Phys. (MIT)",
author-dates = "Garrett Birkhoff (19 January 1911--22 November 1996)",
fjournal = "Journal of Mathematics and Physics (MIT)",
GB-number = "30",
jfm = "63.1001.03",
journal-URL = "http://onlinelibrary.wiley.com/journal/10.1111/(ISSN)1467-9590",
onlinedate = "April 1937",
ZBmath = "3028850; 2523201",
}
@Article{Birkhoff:1937:RLA,
author = "Garrett Birkhoff",
title = "Representability of {Lie} algebras and {Lie} groups by
matrices",
journal = j-ANN-MATH-2,
volume = "38",
number = "2",
pages = "526--532",
month = apr,
year = "1937",
CODEN = "ANMAAH",
DOI = "https://doi.org/10.2307/1968569",
ISSN = "0003-486X (print), 1939-8980 (electronic)",
ISSN-L = "0003-486X",
MRclass = "17B35 16S30 17B30 99-04",
MRnumber = "1503351",
bibdate = "Sun Oct 29 10:49:01 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/birkhoff-garrett.bib",
ZMnumber = "0016.24402",
acknowledgement = ack-nhfb,
author-dates = "Garrett Birkhoff (19 January 1911--22 November 1996)",
fjournal = "Annals of Mathematics. Second Series",
GB-number = "27",
jfm = "63.0090.01",
journal-URL = "https://annals.math.princeton.edu/;
https://www.jstor.org/journal/annamath",
ZBmath = "3025861; 2520028",
}
@Article{Birkhoff:1937:RS,
author = "Garrett Birkhoff",
title = "Rings of sets",
journal = j-DUKE-MATH-J,
volume = "3",
number = "3",
pages = "443--454",
month = sep,
year = "1937",
CODEN = "DUMJAO",
DOI = "https://doi.org/10.1215/S0012-7094-37-00334-X",
ISSN = "0012-7094 (print), 1547-7398 (electronic)",
ISSN-L = "0012-7094",
bibdate = "Sun Oct 29 10:49:01 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/birkhoff-garrett.bib",
ZMnumber = "0017.19403",
acknowledgement = ack-nhfb,
author-dates = "Garrett Birkhoff (19 January 1911--22 November 1996)",
fjournal = "Duke Mathematical Journal",
GB-number = "29",
jfm = "63.0832.02",
journal-URL = "http://projecteuclid.org/info/euclid.dmj",
ZBmath = "3027429; 2522565",
}
@Article{Birkhoff:1938:AG,
author = "Garrett Birkhoff",
title = "Analytical groups",
journal = j-TRANS-AM-MATH-SOC,
volume = "43",
number = "1",
pages = "61--101",
month = jan,
year = "1938",
CODEN = "TAMTAM",
DOI = "https://doi.org/10.1090/S0002-9947-1938-1501934-4;
https://doi.org/10.2307/1989902",
ISSN = "0002-9947 (print), 1088-6850 (electronic)",
ISSN-L = "0002-9947",
MRclass = "22E15 (22A05 54H11)",
MRnumber = "1501934",
bibdate = "Sun Oct 29 10:49:01 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/birkhoff-garrett.bib",
ZMnumber = "0018.20502",
acknowledgement = ack-nhfb,
author-dates = "Garrett Birkhoff (19 January 1911--22 November 1996)",
fjournal = "Transactions of the American Mathematical Society",
GB-number = "32",
jfm = "64.1092.02",
journal-URL = "http://www.ams.org/journals/tran/",
ZBmath = "3029132; 2518297",
}
@Article{Birkhoff:1938:DPS,
author = "Garrett Birkhoff",
title = "Dependent probabilities and spaces {L}",
journal = j-PROC-NATL-ACAD-SCI-USA,
volume = "24",
number = "3",
pages = "154--159",
day = "1",
month = mar,
year = "1938",
CODEN = "PNASA6",
DOI = "https://doi.org/10.1073/pnas.24.3.154",
ISSN = "0027-8424 (print), 1091-6490 (electronic)",
ISSN-L = "0027-8424",
bibdate = "Sun Oct 29 10:49:01 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/birkhoff-garrett.bib",
ZMnumber = "0018.26402",
acknowledgement = ack-nhfb,
author-dates = "Garrett Birkhoff (19 January 1911--22 November 1996)",
fjournal = "Proceedings of the National Academy of Sciences of the
United States of America",
GB-number = "33",
jfm = "64.0535.01",
journal-URL = "http://www.pnas.org/content/by/year",
ZBmath = "3029376; 2516169",
}
@Article{Birkhoff:1938:LTA,
author = "Garrett Birkhoff",
title = "Lattices and their applications",
journal = j-BULL-AMS,
volume = "44",
number = "12",
pages = "793--800",
year = "1938",
CODEN = "BAMOAD",
DOI = "https://doi.org/10.1090/S0002-9904-1938-06866-8",
ISSN = "0002-9904 (print), 1936-881x (electronic)",
ISSN-L = "0002-9904",
MRclass = "06-02 99-04",
MRnumber = "1563879",
bibdate = "Sun Oct 29 10:49:01 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/birkhoff-garrett.bib",
ZMnumber = "0020.00101",
acknowledgement = ack-nhfb,
author-dates = "Garrett Birkhoff (19 January 1911--22 November 1996)",
fjournal = "Bulletin of the American Mathematical Society",
GB-number = "34",
jfm = "64.0071.03",
journal-URL = "http://www.ams.org/journals/bull/all_issues.html",
ZBmath = "3031678; 2514832",
}
@Article{Alaoglu:1939:GET,
author = "L. Alaoglu and G. Birkhoff",
title = "General ergodic theorems",
journal = j-PROC-NATL-ACAD-SCI-USA,
volume = "25",
number = "12",
pages = "628--630",
day = "1",
month = dec,
year = "1939",
CODEN = "PNASA6",
DOI = "https://doi.org/10.1073/pnas.25.12.628",
ISSN = "0027-8424 (print), 1091-6490 (electronic)",
ISSN-L = "0027-8424",
MRclass = "46.3X",
MRnumber = "908",
MRreviewer = "N. Dunford",
bibdate = "Sun Oct 29 10:49:01 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/birkhoff-garrett.bib",
ZMnumber = "0022.36103",
acknowledgement = ack-nhfb,
author-dates = "Garrett Birkhoff (19 January 1911--22 November 1996)",
fjournal = "Proceedings of the National Academy of Sciences of the
United States of America",
GB-number = "38",
jfm = "65.1323.01",
journal-URL = "http://www.pnas.org/content/by/year",
ZBmath = "3036582; 2513752",
}
@Article{Birkhoff:1939:CBA,
author = "Garrett Birkhoff and Morgan Ward",
title = "A characterization of {Boolean} algebras",
journal = j-ANN-MATH-2,
volume = "40",
number = "3",
pages = "609--610",
month = jul,
year = "1939",
CODEN = "ANMAAH",
DOI = "https://doi.org/10.2307/1968945",
ISSN = "0003-486X (print), 1939-8980 (electronic)",
ISSN-L = "0003-486X",
MRclass = "09.1X",
MRnumber = "9",
bibdate = "Sun Oct 29 10:49:01 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/birkhoff-garrett.bib",
ZMnumber = "0021.21301",
acknowledgement = ack-nhfb,
author-dates = "Garrett Birkhoff (19 January 1911--22 November 1996)",
fjournal = "Annals of Mathematics. Second Series",
GB-number = "36",
jfm = "65.0086.05",
journal-URL = "https://annals.math.princeton.edu/;
https://www.jstor.org/journal/annamath",
ZBmath = "3034310; 2509883",
}
@Article{Birkhoff:1939:ETG,
author = "Garrett Birkhoff",
title = "An ergodic theorem for general semi-groups",
journal = j-PROC-NATL-ACAD-SCI-USA,
volume = "25",
number = "12",
pages = "625--627",
day = "1",
month = dec,
year = "1939",
CODEN = "PNASA6",
DOI = "https://doi.org/10.1073/pnas.25.12.625",
ISSN = "0027-8424 (print), 1091-6490 (electronic)",
ISSN-L = "0027-8424",
MRclass = "46.3X",
MRnumber = "907",
MRreviewer = "N. Dunford",
bibdate = "Sun Oct 29 10:49:01 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/birkhoff-garrett.bib",
ZMnumber = "0022.36102",
acknowledgement = ack-nhfb,
author-dates = "Garrett Birkhoff (19 January 1911--22 November 1996)",
fjournal = "Proceedings of the National Academy of Sciences of the
United States of America",
GB-number = "37",
jfm = "65.1323.02",
journal-URL = "http://www.pnas.org/content/by/year",
ZBmath = "3036581; 2513753",
}
@Article{Birkhoff:1939:MET,
author = "Garrett Birkhoff",
title = "The mean ergodic theorem",
journal = j-DUKE-MATH-J,
volume = "5",
number = "1",
pages = "19--20",
month = mar,
year = "1939",
CODEN = "DUMJAO",
DOI = "https://doi.org/10.1215/S0012-7094-39-00502-8",
ISSN = "0012-7094 (print), 1547-7398 (electronic)",
ISSN-L = "0012-7094",
bibdate = "Sun Oct 29 10:49:01 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/birkhoff-garrett.bib",
ZMnumber = "0021.23601",
acknowledgement = ack-nhfb,
author-dates = "Garrett Birkhoff (19 January 1911--22 November 1996)",
fjournal = "Duke Mathematical Journal",
GB-number = "35",
jfm = "65.0516.01",
journal-URL = "http://projecteuclid.org/info/euclid.dmj",
ZBmath = "3034383; 2511063",
}
@Article{Alaoglu:1940:GET,
author = "L. Alaoglu and G. Birkhoff",
title = "General ergodic theorems",
journal = j-ANN-MATH-2,
volume = "41",
number = "2",
pages = "293--309",
month = apr,
year = "1940",
CODEN = "ANMAAH",
DOI = "https://doi.org/10.2307/1969004",
ISSN = "0003-486x (print), 1939-8980 (electronic)",
ISSN-L = "0003-486X",
MRclass = "46.3X",
MRnumber = "2026",
MRreviewer = "N. Dunford",
bibdate = "Sun Oct 29 10:49:01 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/birkhoff-garrett.bib",
ZMnumber = "0024.12402",
acknowledgement = ack-nhfb,
author-dates = "Garrett Birkhoff (19 January 1911--22 November 1996)",
fjournal = "Annals of Mathematics. Second Series",
GB-number = "39",
jfm = "66.0559.02",
journal-URL = "https://annals.math.princeton.edu/;
https://www.jstor.org/journal/annamath",
ZBmath = "3038709; 2506868",
}
@Book{Birkhoff:1940:LT,
author = "Garrett Birkhoff",
title = "Lattice Theory",
volume = "25",
publisher = pub-AMS,
address = pub-AMS:adr,
pages = "v + 155",
year = "1940",
MRclass = "06-02 09.1X",
MRnumber = "1959",
MRreviewer = "O. Frink",
bibdate = "Sun Oct 22 09:59:52 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/birkhoff-garrett.bib",
series = "American Mathematical Society Publications",
ZMnumber = "0063.00402",
acknowledgement = ack-nhfb,
author-dates = "Garrett Birkhoff (19 January 1911--22 November 1996)",
jfm = "66.0100.04",
ZBmath = "2505658; 3103212",
}
@Article{Birkhoff:1940:NEG,
author = "Garrett Birkhoff",
title = "Neutral elements in general lattices",
journal = j-BULL-AMS,
volume = "46",
pages = "702--705",
year = "1940",
CODEN = "BAMOAD",
DOI = "https://doi.org/10.1090/S0002-9904-1940-07285-4",
ISSN = "0002-9904 (print), 1936-881x (electronic)",
ISSN-L = "0002-9904",
MRclass = "09.1X",
MRnumber = "2846",
MRreviewer = "O. Frink",
bibdate = "Sun Oct 29 10:49:01 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/birkhoff-garrett.bib",
ZMnumber = "0024.09903",
acknowledgement = ack-nhfb,
author-dates = "Garrett Birkhoff (19 January 1911--22 November 1996)",
fjournal = "Bulletin of the American Mathematical Society",
GB-number = "40",
jfm = "66.0101.01",
journal-URL = "http://www.ams.org/journals/bull/all_issues.html",
ZBmath = "3038638; 2505659",
}
@Article{Birkhoff:1941:MFG,
author = "Garrett Birkhoff",
title = "Metric foundations of geometry",
journal = j-PROC-NATL-ACAD-SCI-USA,
volume = "27",
number = "8",
pages = "402--406",
day = "15",
month = aug,
year = "1941",
CODEN = "PNASA6",
DOI = "https://doi.org/10.1073/pnas.27.8.402",
ISSN = "0027-8424 (print), 1091-6490 (electronic)",
ISSN-L = "0027-8424",
MRclass = "48.0X",
MRnumber = "4472",
MRreviewer = "H. Busemann",
bibdate = "Sun Oct 29 10:49:01 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/birkhoff-garrett.bib",
ZMnumber = "0060.32705",
acknowledgement = ack-nhfb,
author-dates = "Garrett Birkhoff (19 January 1911--22 November 1996)",
fjournal = "Proceedings of the National Academy of Sciences of the
United States of America",
GB-number = "41",
journal-URL = "http://www.pnas.org/content/by/year",
ZBmath = "3097925",
}
@Book{Birkhoff:1941:SMA,
author = "Garrett Birkhoff and Saunders {Mac Lane}",
title = "A Survey of Modern Algebra",
publisher = pub-MACMILLAN,
address = pub-MACMILLAN:adr,
pages = "xi + 450",
year = "1941",
MRclass = "00A05 12-01 13-01 06-01 20-01 09.1X",
MRnumber = "5093",
MRreviewer = "N. Jacobson",
bibdate = "Sun Oct 22 09:59:52 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/birkhoff-garrett.bib",
ZMnumber = "0061.04802",
acknowledgement = ack-nhfb,
author-dates = "Garrett Birkhoff (19 January 1911--22 November 1996);
Saunders Mac Lane (1909--2005)",
ZBmath = "3099537",
}
@Article{Birkhoff:1942:GA,
author = "Garrett Birkhoff",
title = "Generalized arithmetic",
journal = j-DUKE-MATH-J,
volume = "9",
number = "2",
pages = "283--302",
month = jun,
year = "1942",
CODEN = "DUMJAO",
DOI = "https://doi.org/10.1215/S0012-7094-42-00921-9",
ISSN = "0012-7094 (print), 1547-7398 (electronic)",
ISSN-L = "0012-7094",
MRclass = "27.2X",
MRnumber = "7031",
MRreviewer = "N. Dunford",
bibdate = "Sun Oct 22 09:59:52 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/birkhoff-garrett.bib",
URL = "http://projecteuclid.org/euclid.dmj/1077493225",
ZMnumber = "0060.12609",
acknowledgement = ack-nhfb,
author-dates = "Garrett Birkhoff (19 January 1911--22 November 1996)",
fjournal = "Duke Mathematical Journal",
GB-number = "43",
journal-URL = "http://projecteuclid.org/info/euclid.dmj",
xxpages = "284--302",
ZBmath = "3096323",
}
@Article{Birkhoff:1942:LOG,
author = "Garrett Birkhoff",
title = "Lattice-ordered groups",
journal = j-ANN-MATH-2,
volume = "43",
number = "2",
pages = "298--331",
month = apr,
year = "1942",
CODEN = "ANMAAH",
DOI = "https://doi.org/10.2307/1968871",
ISSN = "0003-486x (print), 1939-8980 (electronic)",
ISSN-L = "0003-486X",
MRclass = "20.0X",
MRnumber = "6550",
MRreviewer = "H. Wallman",
bibdate = "Sun Oct 29 10:49:01 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/birkhoff-garrett.bib",
ZMnumber = "0060.05808",
acknowledgement = ack-nhfb,
author-dates = "Garrett Birkhoff (19 January 1911--22 November 1996)",
fjournal = "Annals of Mathematics. Second Series",
GB-number = "42",
journal-URL = "https://annals.math.princeton.edu/;
https://www.jstor.org/journal/annamath",
received = "10 December 1941",
ZBmath = "3095752",
}
@Article{Birkhoff:1943:RGO,
author = "Garrett Birkhoff",
title = "The radical of a group with operators",
journal = j-BULL-AMS,
volume = "49",
pages = "751--753",
year = "1943",
CODEN = "BAMOAD",
DOI = "https://doi.org/10.1090/S0002-9904-1943-08022-6",
ISSN = "0002-9904 (print), 1936-881x (electronic)",
ISSN-L = "0002-9904",
MRclass = "09.1X 20D45",
MRnumber = "9021",
MRreviewer = "N. Jacobson",
bibdate = "Sun Oct 29 10:49:01 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/birkhoff-garrett.bib",
ZMnumber = "0061.02902",
acknowledgement = ack-nhfb,
author-dates = "Garrett Birkhoff (19 January 1911--22 November 1996)",
fjournal = "Bulletin of the American Mathematical Society",
GB-number = "45",
journal-URL = "http://www.ams.org/journals/bull/all_issues.html",
ZBmath = "3099400",
}
@Article{Birkhoff:1943:WL,
author = "Garrett Birkhoff",
title = "What is a Lattice?",
journal = j-AMER-MATH-MONTHLY,
volume = "50",
number = "8",
pages = "484--487",
month = oct,
year = "1943",
CODEN = "AMMYAE",
DOI = "https://doi.org/10.2307/2304186",
ISSN = "0002-9890 (print), 1930-0972 (electronic)",
ISSN-L = "0002-9890",
MRclass = "09.1X",
MRnumber = "8597",
bibdate = "Sun Oct 29 10:49:01 2023",
bibsource = "http://www.jstor.org/journals/00029890.htm;
https://www.math.utah.edu/pub/bibnet/authors/b/birkhoff-garrett.bib",
ZMnumber = "0060.05806",
acknowledgement = ack-nhfb,
author-dates = "Garrett Birkhoff (19 January 1911--22 November 1996)",
fjournal = "American Mathematical Monthly",
GB-number = "44",
journal-URL = "http://www.jstor.org/journals/00029890.html",
ZBmath = "3095750",
}
@Article{Birkhoff:1944:MFG,
author = "Garrett Birkhoff",
title = "Metric foundations of geometry. {I}",
journal = j-TRANS-AM-MATH-SOC,
volume = "55",
number = "3",
pages = "465--492",
month = may,
year = "1944",
CODEN = "TAMTAM",
DOI = "https://doi.org/10.2307/1990304",
ISSN = "0002-9947 (print), 1088-6850 (electronic)",
ISSN-L = "0002-9947",
MRclass = "48.0X",
MRnumber = "10393",
MRreviewer = "L. M. Blumenthal",
bibdate = "Sun Oct 29 10:49:01 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/birkhoff-garrett.bib",
ZMnumber = "0060.32706",
acknowledgement = ack-nhfb,
author-dates = "Garrett Birkhoff (19 January 1911--22 November 1996)",
fjournal = "Transactions of the American Mathematical Society",
GB-number = "46",
journal-URL = "http://www.ams.org/journals/tran/",
ZBmath = "3097926",
}
@Article{Birkhoff:1944:SUU,
author = "Garrett Birkhoff",
title = "Subdirect unions in universal algebra",
journal = j-BULL-AMS,
volume = "50",
pages = "764--768",
year = "1944",
CODEN = "BAMOAD",
DOI = "https://doi.org/10.1090/S0002-9904-1944-08235-9",
ISSN = "0002-9904 (print), 1936-881x (electronic)",
ISSN-L = "0002-9904",
MRclass = "09.1X",
MRnumber = "10542",
MRreviewer = "N. H. McCoy",
bibdate = "Sun Oct 29 10:49:01 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/birkhoff-garrett.bib",
ZMnumber = "0060.05809",
acknowledgement = ack-nhfb,
author-dates = "Garrett Birkhoff (19 January 1911--22 November 1996)",
fjournal = "Bulletin of the American Mathematical Society",
GB-number = "47",
journal-URL = "http://www.ams.org/journals/bull/all_issues.html",
ZBmath = "3095753",
}
@InCollection{Birkhoff:1945:LOL,
author = "Garrett Birkhoff",
booktitle = "{Festschrift zum 60. Geburtstag von Prof. Dr. Andreas
Speiser}",
title = "Lattice-ordered {Lie} groups",
publisher = "Orell F{\"u}ssli",
address = "Z{\"u}rich, Switzerland",
pages = "209--217",
year = "1945",
MRclass = "06F25 22E99 17B60 20.0X",
MRnumber = "15116",
MRreviewer = "P. A. Smith",
bibdate = "Sun Oct 22 09:59:52 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/birkhoff-garrett.bib",
ZMnumber = "0061.04703",
acknowledgement = ack-nhfb,
author-dates = "Garrett Birkhoff (19 January 1911--22 November 1996)",
GB-number = "48",
ZBmath = "3099531",
}
@Article{Birkhoff:1946:DBL,
author = "Garrett Birkhoff",
title = "{Drei Bemerkungen zur linearen Algebra}. ({German})
[{Three} remarks on linear algebra]",
journal = "Rev., Ser. A, Univ. Nac. Tucum{\'a}n",
volume = "5",
pages = "147--151",
year = "1946",
ISSN = "0080-2360",
ISSN-L = "0080-2360",
bibdate = "Sun Oct 29 10:49:01 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/birkhoff-garrett.bib",
ZMnumber = "0060.07906",
acknowledgement = ack-nhfb,
author-dates = "Garrett Birkhoff (19 January 1911--22 November 1996)",
fjournal = "Universidad Nacional de Tucum{\'a}n. Facultad de
Ciencias Exactas y Tecnolog{\'\i}a. Revista. Serie A.
Matem{\'a}tica y F{\'\i}sica Te{\'o}rica",
fjournal-2 = "Revista. Serie A. Matematica y Fisica Teorica",
language = "German",
ZBmath = "3095897",
}
@Article{Birkhoff:1946:DPS,
author = "George D. Birkhoff and Garrett Birkhoff",
title = "Distributive postulates for systems like {Boolean}
algebras",
journal = j-TRANS-AM-MATH-SOC,
volume = "60",
number = "1",
pages = "3--11",
month = jul,
year = "1946",
CODEN = "TAMTAM",
DOI = "https://doi.org/10.2307/1990239",
ISSN = "0002-9947 (print), 1088-6850 (electronic)",
ISSN-L = "0002-9947",
MRclass = "09.1X",
MRnumber = "17735",
MRreviewer = "A. L. Foster",
bibdate = "Sun Oct 29 10:49:01 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/birkhoff-garrett.bib",
ZMnumber = "0060.05810",
acknowledgement = ack-nhfb,
author-dates = "Garrett Birkhoff (19 January 1911--22 November 1996)",
fjournal = "Transactions of the American Mathematical Society",
GB-number = "51",
journal-URL = "http://www.ams.org/journals/tran/",
ZBmath = "3095754",
}
@Article{Birkhoff:1946:FVG,
author = "Garrett Birkhoff",
title = "Formulacion de una conjetura de {G. D. Birkhoff}
mediante una ecuacion integral",
journal = "Bolet{\'\i}n de la Sociedad Matem{\'a}tica Mexicana",
volume = "3",
pages = "57--60",
year = "1946",
MRclass = "53.0X",
MRnumber = "22379",
MRreviewer = "Gustav A. Hedlund",
bibdate = "Sun Oct 22 09:59:52 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/birkhoff-garrett.bib",
ZMnumber = "0063.00404",
acknowledgement = ack-nhfb,
ajournal = "Bol. Soc. Mat. Mexicana",
author-dates = "Garrett Birkhoff (19 January 1911--22 November 1996)",
fjournal = "Bolet{\'\i}n de la Sociedad Matem{\'a}tica Mexicana",
GB-number = "55",
xxtitle = "{Formulierung einer Vermutung von G. D. Birkhoff mit
Hilfe einer Integralgleichung}. ({German})
[{Formulation} of a conjecture of {George D. Birkhoff}
by means of an integral equation]",
ZBmath = "3103214",
}
@Article{Birkhoff:1946:GAG,
author = "Garrett Birkhoff",
title = "Sobre los grupos de automorfismos",
journal = "Revista de la Uni{\'o}n Matem{\'a}tica Argentina",
volume = "11",
pages = "155--157",
year = "1946",
ISSN = "0041-6932 (print), 1669-9637 (electronic)",
ISSN-L = "0041-6932",
MRclass = "20.0X",
MRnumber = "15387",
bibdate = "Sun Oct 29 10:49:01 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/birkhoff-garrett.bib",
ZMnumber = "0063.00403",
acknowledgement = ack-nhfb,
ajournal = "Rev. Un. Mat. Argentina",
ajournal-2 = "Rev. Uni{\'o}n Mat. Argent.",
author-dates = "Garrett Birkhoff (19 January 1911--22 November 1996)",
fjournal = "Revista de la Uni{\'o}n Matem{\'a}tica Argentina",
GB-number = "52",
language = "Spanish",
xxlanguage = "German",
xxtitle = "{{\"U}ber Gruppen von Automorphismen}. ({German}) [On
groups of automorphisms]",
ZBmath = "3103213",
}
@Article{Birkhoff:1946:RTD,
author = "Garrett Birkhoff",
title = "Reversibility and two-dimensional airfoil theory",
journal = j-AM-J-MATH,
volume = "68",
pages = "247--256",
year = "1946",
CODEN = "AJMAAN",
DOI = "https://doi.org/10.2307/2371836",
ISSN = "0002-9327 (print), 1080-6377 (electronic)",
ISSN-L = "0002-9327",
MRclass = "76.1X",
MRnumber = "17084",
MRreviewer = "L. M. Milne-Thomson",
bibdate = "Sun Oct 29 10:49:01 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/birkhoff-garrett.bib",
ZMnumber = "0061.44801",
acknowledgement = ack-nhfb,
author-dates = "Garrett Birkhoff (19 January 1911--22 November 1996)",
fjournal = "American Journal of Mathematics",
GB-number = "50",
journal-URL = "https://www.jstor.org/journal/amerjmath",
ZBmath = "3102587",
}
@Article{Birkhoff:1946:TOA,
author = "Garrett Birkhoff",
title = "Tres observaciones sobre el algebra lineal.
({Spanish}) [{Three} observations on linear algebra]",
journal = "Univ. Nac. Tucum{\'a}n. Revista A.",
volume = "5",
pages = "147--151",
year = "1946",
MRclass = "09.1X",
MRnumber = "20547",
MRreviewer = "J. L. Dorroh",
bibdate = "Sun Oct 22 09:59:52 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/birkhoff-garrett.bib",
note = "See also \cite{Alvis:2001:BTP}.",
acknowledgement = ack-nhfb,
author-dates = "Garrett Birkhoff (19 January 1911--22 November 1996)",
fjournal = "Universidad Nacional de Tucum{\'a}n. Facultad de
Ciencias Exactas y Tecnolog{\'\i}a. Revista. Serie A.
Matem{\'a}tica y F{\'\i}sica Te{\'o}rica",
fjournal-2 = "Univ. Nac. Tucum{\'a}n. Revista A.",
GB-number = "53",
xxpages = "145--151",
xxtitle = "Tres notas sobre el algebra lineal",
}
@InProceedings{Birkhoff:1946:UA,
author = "Garrett Birkhoff",
booktitle = "{Proceedings of the First Canadian Mathematics
Congress, Montreal, 1945}",
title = "Universal algebra",
publisher = pub-U-TORONTO,
address = pub-U-TORONTO:adr,
pages = "310--326",
year = "1946",
MRclass = "09.1X",
MRnumber = "19586",
MRreviewer = "N. H. McCoy",
bibdate = "Sun Oct 22 09:59:52 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/birkhoff-garrett.bib",
ZMnumber = "0060.06802",
acknowledgement = ack-nhfb,
author-dates = "Garrett Birkhoff (19 January 1911--22 November 1996)",
GB-number = "49",
ZBmath = "3095825",
}
@Article{Birkhoff:1946:WL,
author = "Garrett Birkhoff",
title = "What is a lattice?",
journal = "Gazeta de Matem{\'a}tica (Lisboa)",
volume = "7",
number = "27",
pages = "1--3",
year = "1946",
ISSN = "0373-2681",
MRclass = "09.1X",
MRnumber = "15039",
bibdate = "Sun Oct 22 09:59:52 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/birkhoff-garrett.bib",
ZMnumber = "0060.05807",
acknowledgement = ack-nhfb,
ajournal = "Gaz. Mat. (Lisbon)",
author-dates = "Garrett Birkhoff (19 January 1911--22 November 1996)",
fjournal = "Gazeta de Matem{\'a}tica (Lisboa)",
xxlanguage = "German",
xxtitle = "{Was ist ein Verband}? ({German}) [{What} is a
lattice?]",
ZBmath = "3095751",
}
@Article{Birkhoff:1947:TOD,
author = "Garrett Birkhoff and S. A. Kiss",
title = "A ternary operation in distributive lattices",
journal = j-BULL-AMS,
volume = "53",
pages = "749--752",
year = "1947",
CODEN = "BAMOAD",
DOI = "https://doi.org/10.1090/S0002-9904-1947-08864-9",
ISSN = "0002-9904 (print), 1936-881x (electronic)",
ISSN-L = "0002-9904",
MRclass = "09.1X",
MRnumber = "21540",
MRreviewer = "J. Kuntzmann",
bibdate = "Sun Oct 29 10:49:01 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/birkhoff-garrett.bib",
ZMnumber = "0031.25002",
acknowledgement = ack-nhfb,
author-dates = "Garrett Birkhoff (19 January 1911--22 November 1996)",
fjournal = "Bulletin of the American Mathematical Society",
GB-number = "54",
journal-URL = "http://www.ams.org/journals/bull/all_issues.html",
ZBmath = "3048697",
}
@Article{Birkhoff:1948:ELC,
author = "Garrett Birkhoff and Duncan P. MacDougall and Emerson
Pugh and {Sir} Geoffrey Taylor",
title = "Explosives with Lined Cavities",
journal = j-J-APPL-PHYS,
volume = "19",
number = "6",
pages = "563--582",
month = jun,
year = "1948",
CODEN = "JAPIAU",
DOI = "https://doi.org/10.1063/1.1698173",
ISSN = "0021-8979 (print), 1089-7550 (electronic), 1520-8850",
ISSN-L = "0021-8979",
bibdate = "Wed Nov 01 06:26:57 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/birkhoff-garrett.bib",
URL = "https://pubs.aip.org/aip/jap/article-pdf/19/6/563/7916271/563_1_online.pdf",
acknowledgement = ack-nhfb,
author-dates = "Garrett Birkhoff (19 January 1911--22 November 1996)",
fjournal = "Journal of Applied Physics",
GB-number = "56",
journal-URL = "http://aip.scitation.org/toc/jap/current",
received = "16 January 1948",
remark = "From the first paragraph: ``For over a century mining
engineers have known that some of the force of an
explosive charge could be concentrated on a small area
by hollowing out the charge opposite to the area
(``hollow charge principle''). The earliest known
reference to this is 1792; a popular account appeared
in von Nostrand's Magazine in 1884. The effect became
known as the Munroe effect in England and the United
States, and as the Neumann effect in Germany, in honor
of later workers (1885, 1911).''",
xxnote = "Check author order",
}
@InProceedings{Birkhoff:1948:HP,
author = "Garrett Birkhoff",
editor = "Evert Willem Beth and Hendrik Josephus Pos and J. H.
A. Hollak",
booktitle = "Library of the Tenth International Congress on
Philosophy ({Amsterdam, 11--18 August, 1948})",
title = "Hydrodynamical Paradoxes",
publisher = pub-NORTH-HOLLAND,
address = pub-NORTH-HOLLAND:adr,
pages = "349--350",
year = "1948",
LCCN = "B20 .I6 1948x",
bibdate = "Wed Nov 01 06:33:08 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/birkhoff-garrett.bib",
note = "Two volumes.",
acknowledgement = ack-nhfb,
author-dates = "Garrett Birkhoff (19 January 1911--22 November 1996)",
GB-number = "62",
}
@Book{Birkhoff:1948:LT,
author = "Garrett Birkhoff",
title = "Lattice Theory",
volume = "25",
publisher = pub-AMS,
address = pub-AMS:adr,
edition = "Revised",
pages = "xiii + 283",
year = "1948",
ISSN = "0065-9258",
MRclass = "06-02 09.1X",
MRnumber = "29876",
MRreviewer = "O. Frink",
bibdate = "Sun Oct 22 09:59:52 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/birkhoff-garrett.bib",
series = "American Mathematical Society Colloquium
Publications",
ZMnumber = "0033.10103",
acknowledgement = ack-nhfb,
author-dates = "Garrett Birkhoff (19 January 1911--22 November 1996)",
fseries = "Colloquium Publications. American Mathematical
Society",
ZBmath = "3050845",
}
@Article{Birkhoff:1948:MEI,
author = "Garrett Birkhoff",
title = "Mathematics for Engineers -- {III}: Dimensional
Analysis of Partial Differential Equations",
journal = j-ELECTR-ENG,
volume = "67",
number = "12",
pages = "1185--1188",
month = dec,
year = "1948",
CODEN = "ELENAC",
DOI = "https://doi.org/10.1109/EE.1948.6444503",
ISSN = "0095-9197 (print), 2376-7804 (electronic)",
ISSN-L = "0095-9197",
bibdate = "Wed Nov 01 06:30:08 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/birkhoff-garrett.bib",
acknowledgement = ack-nhfb,
author-dates = "Garrett Birkhoff (19 January 1911--22 November 1996)",
fjournal = "Electrical Engineering (American Institute of
Electrical Engineers)",
GB-number = "59",
journal-URL = "http://ieeexplore.ieee.org/xpl/RecentIssue.jsp?punumber=6413714",
xxtitle = "Dimensional Analysis of Partial Differential
Equations",
}
@InProceedings{Birkhoff:1948:RDF,
author = "Garrett Birkhoff",
booktitle = "{Proceedings of the Seventh International Congress on
Applied Mechanics, London}",
title = "Recent developments in free boundary theory",
volume = "2",
publisher = "????",
address = "????",
pages = "7--16",
year = "1948",
MRclass = "76.1X",
MRnumber = "34156",
MRreviewer = "E. Pinney",
bibdate = "Sun Oct 22 09:59:52 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/birkhoff-garrett.bib",
acknowledgement = ack-nhfb,
author-dates = "Garrett Birkhoff (19 January 1911--22 November 1996)",
GB-number = "64",
}
@Article{Birkhoff:1948:RLS,
author = "Garrett Birkhoff and Orrin {Frink, Jr.}",
title = "Representations of lattices by sets",
journal = j-TRANS-AM-MATH-SOC,
volume = "64",
number = "2",
pages = "299--316",
month = sep,
year = "1948",
CODEN = "TAMTAM",
DOI = "https://doi.org/10.2307/1990504",
ISSN = "0002-9947 (print), 1088-6850 (electronic)",
ISSN-L = "0002-9947",
MRclass = "06-XX 09.1X",
MRnumber = "27263",
MRreviewer = "O. Bor\ocirc{u}vka",
bibdate = "Sun Oct 29 10:49:01 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/birkhoff-garrett.bib",
ZMnumber = "0032.00504",
acknowledgement = ack-nhfb,
author-dates = "Garrett Birkhoff (19 January 1911--22 November 1996)",
fjournal = "Transactions of the American Mathematical Society",
GB-number = "58",
journal-URL = "http://www.ams.org/journals/tran/",
ZBmath = "3049232",
}
@Article{Birkhoff:1948:RSD,
author = "Garrett Birkhoff",
title = "Remarks on streamlines of discontinuity",
journal = "Revista de Ciencias, Lima",
volume = "50",
pages = "105--116",
year = "1948",
ISSN = "0034-7760",
MRclass = "76.1X",
MRnumber = "29614",
MRreviewer = "L. M. Milne-Thomson",
bibdate = "Sun Oct 29 10:49:01 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/birkhoff-garrett.bib",
ZMnumber = "0031.32703",
acknowledgement = ack-nhfb,
ajournal = "Rev. Ci. (Lima)",
author-dates = "Garrett Birkhoff (19 January 1911--22 November 1996)",
fjournal = "Revista de Ciencias, Lima",
GB-number = "57",
xxpages = "105--130",
ZBmath = "3048933",
}
@Article{Birkhoff:1949:FFP,
author = "Garrett Birkhoff and Thomas E. Caywood",
title = "Fluid Flow Patterns",
journal = j-J-APPL-PHYS,
volume = "20",
number = "7",
pages = "646--659",
month = jul,
year = "1949",
CODEN = "JAPIAU",
DOI = "https://doi.org/10.1063/1.1698450",
ISSN = "0021-8979 (print), 1089-7550 (electronic), 1520-8850",
ISSN-L = "0021-8979",
bibdate = "Wed Nov 01 06:35:30 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/birkhoff-garrett.bib",
URL = "https://pubs.aip.org/aip/jap/article-pdf/20/7/646/7916862/646_1_online.pdf",
acknowledgement = ack-nhfb,
author-dates = "Garrett Birkhoff (19 January 1911--22 November 1996)",
fjournal = "Journal of Applied Physics",
GB-number = "63",
journal-URL = "http://aip.scitation.org/toc/jap/current",
}
@Article{Birkhoff:1949:GR,
author = "Garrett Birkhoff",
title = "Groupes R{\'e}ticul{\'e}s",
journal = j-ANN-INST-HENRI-POINCARE,
volume = "11",
pages = "241--250",
year = "1949",
CODEN = "AIHPA2",
ISSN = "0365-320x (print), 2400-4855 (electronic)",
MRclass = "06-XX 20.0X 09.1X",
MRnumber = "34770",
MRreviewer = "P. M. Whitman",
bibdate = "Sun Oct 29 10:49:01 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/birkhoff-garrett.bib",
URL = "http://www.numdam.org/item?id=AIHP_1949__11_5_241_0",
ZMnumber = "0034.01902",
acknowledgement = ack-nhfb,
author-dates = "Garrett Birkhoff (19 January 1911--22 November 1996)",
fjournal = "Annales de l'Institut Henri Poincar{\'e}",
GB-number = "65",
language = "French",
ZBmath = "3051984",
}
@Article{Birkhoff:1949:NNF,
author = "Garrett Birkhoff and Lindley Burton",
title = "Note on {Newtonian} force-fields",
journal = j-CAN-J-MATH,
volume = "1",
number = "??",
pages = "199--208",
month = "????",
year = "1949",
CODEN = "CJMAAB",
DOI = "https://doi.org/10.4153/cjm-1949-019-7",
ISSN = "0008-414X (print), 1496-4279 (electronic)",
ISSN-L = "0008-414X",
MRclass = "31.0X 31-XX",
MRnumber = "0029018 (10,534e)",
MRreviewer = "M. Brelot",
bibdate = "Sun Oct 29 10:49:01 2023",
bibsource = "http://cms.math.ca/cjm/v1/;
https://www.math.utah.edu/pub/bibnet/authors/b/birkhoff-garrett.bib;
https://www.math.utah.edu/pub/tex/bib/canjmath.bib;
https://www.math.utah.edu/pub/tex/bib/canjmath1940.bib;
MathSciNet database",
URL = "www.smc.math.ca/cjm/v1/p199",
ZMnumber = "0031.40404",
acknowledgement = ack-nhfb,
author-dates = "Garrett Birkhoff (19 January 1911--22 November 1996)",
fjournal = "Canadian Journal of Mathematics = Journal canadien de
math{\'e}matiques",
GB-number = "61",
journal-URL = "http://cms.math.ca/cjm/",
ZBmath = "3049146",
}
@InProceedings{Birkhoff:1949:RDF,
author = "Garrett Birkhoff",
booktitle = "Nonlinear Problems in Mechanics of Continua
{(Proceedings of the Symposia on Applied Mathematics,
Brown University 2--4 August 1947, Vol. I)}",
title = "Recent developments in free boundary theory",
publisher = pub-AMS,
address = pub-AMS:adr,
pages = "47--47",
year = "1949",
MRclass = "76.1X",
MRnumber = "34157",
bibdate = "Sun Oct 22 09:59:52 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/birkhoff-garrett.bib",
ZMnumber = "0033.13901",
acknowledgement = ack-nhfb,
author-dates = "Garrett Birkhoff (19 January 1911--22 November 1996)",
ZBmath = "3050966",
}
@Article{Birkhoff:1949:RJL,
author = "Garrett Birkhoff and Philip M. Whitman",
title = "Representation of {Jordan} and {Lie} algebras",
journal = j-TRANS-AM-MATH-SOC,
volume = "65",
number = "1",
pages = "116--136",
month = jan,
year = "1949",
CODEN = "TAMTAM",
DOI = "https://doi.org/10.2307/1990517",
ISSN = "0002-9947 (print), 1088-6850 (electronic)",
ISSN-L = "0002-9947",
MRclass = "09.1X",
MRnumber = "29366",
MRreviewer = "C. Chevalley",
bibdate = "Sun Oct 29 10:49:01 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/birkhoff-garrett.bib",
ZMnumber = "0032.25102",
acknowledgement = ack-nhfb,
author-dates = "Garrett Birkhoff (19 January 1911--22 November 1996)",
fjournal = "Transactions of the American Mathematical Society",
GB-number = "60",
journal-URL = "http://www.ams.org/journals/tran/",
xxauthor = "Garrett Birkhoff and Phillip M. Whitman",
ZBmath = "3049965",
}
@Article{Birkhoff:1949:TAT,
author = "Garrett Birkhoff",
title = "Th{\'e}orie et applications des treillis",
journal = j-ANN-INST-HENRI-POINCARE,
volume = "11",
pages = "227--240",
year = "1949",
CODEN = "AIHPA2",
ISSN = "0365-320x (print), 2400-4855 (electronic)",
MRclass = "06-XX 20.0X 09.1X",
MRnumber = "34751",
MRreviewer = "P. M. Whitman",
bibdate = "Sun Oct 29 10:49:01 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/birkhoff-garrett.bib",
URL = "http://www.numdam.org/item?id=AIHP_1949__11_5_227_0",
ZMnumber = "0034.01901",
acknowledgement = ack-nhfb,
author-dates = "Garrett Birkhoff (19 January 1911--22 November 1996)",
fjournal = "Annales de l'Institut Henri Poincar{\'e}",
GB-number = "65",
language = "French",
ZBmath = "3051983",
}
@Article{Birkhoff:1950:ELG,
author = "Garrett Birkhoff",
title = "Extensions of {Lie} groups",
journal = j-MATH-Z,
volume = "53",
pages = "226--235",
year = "1950",
CODEN = "MAZEAX",
DOI = "https://doi.org/10.1007/BF01175658",
ISSN = "0025-5874 (print), 1432-1823 (electronic)",
ISSN-L = "0025-5874",
MRclass = "20.0X",
MRnumber = "49200",
MRreviewer = "S. Chern",
bibdate = "Sun Oct 29 10:49:01 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/birkhoff-garrett.bib",
ZMnumber = "0039.02003",
acknowledgement = ack-nhfb,
author-dates = "Garrett Birkhoff (19 January 1911--22 November 1996)",
fjournal = "Mathematische Zeitschrift",
GB-number = "67",
journal-URL = "http://link.springer.com/journal/209",
ZBmath = "3058902",
}
@Book{Birkhoff:1950:HSL,
author = "Garrett Birkhoff",
title = "Hydrodynamics. {A} Study in Logic, Fact, and
Similitude",
publisher = pub-PRINCETON,
address = pub-PRINCETON:adr,
pages = "xiii + 186",
year = "1950",
MRclass = "76.1X",
MRnumber = "38180",
MRreviewer = "J. Kravtchenko and R. Gerber",
bibdate = "Sun Oct 22 09:59:52 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/birkhoff-garrett.bib",
ZMnumber = "0041.53903",
acknowledgement = ack-nhfb,
author-dates = "Garrett Birkhoff (19 January 1911--22 November 1996)",
ZBmath = "3063774",
}
@InCollection{Birkhoff:1950:MFB,
author = "Garrett Birkhoff",
booktitle = "Alg{\`e}bre et Th{\'e}orie des Nombres. ({French})
[{Algebra} and number theory]",
title = "Moyennes des fonctions born{\'e}es. ({French})
[{Means} of bounded functions]",
number = "24",
publisher = "CNRS",
address = "Paris, France",
pages = "143--153",
year = "1950",
MRclass = "46.3X",
MRnumber = "44044",
MRreviewer = "I. Halperin",
bibdate = "Sun Oct 22 09:59:52 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/birkhoff-garrett.bib",
series = "Colloq. Internat. CNRS",
ZMnumber = "0041.44306; 0045.38103",
acknowledgement = ack-nhfb,
author-dates = "Garrett Birkhoff (19 January 1911--22 November 1996)",
GB-number = "68",
language = "French",
ZBmath = "3070705; 3063334",
}
@Article{Birkhoff:1950:NQA,
author = "Garrett Birkhoff and David M. Young",
title = "Numerical Quadrature of Analytic and Harmonic
Functions",
journal = j-J-MATH-PHYS-MIT,
volume = "29",
number = "1--4",
pages = "217--221",
month = apr,
year = "1950",
CODEN = "JMPHA9",
DOI = "https://doi.org/10.1002/sapm1950291217",
ISSN = "0097-1421",
ISSN-L = "0097-1421",
MRclass = "65D32 30E20 41A55 31A05 65.0X",
MRnumber = "38728",
MRreviewer = "J. Kuntzmann",
bibdate = "Sun Oct 29 10:49:01 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/birkhoff-garrett.bib;
https://www.math.utah.edu/pub/tex/bib/jmathphysmit.bib",
URL = "https://onlinelibrary.wiley.com/doi/epdf/10.1002/sapm1950291217",
ZMnumber = "0039.34202",
acknowledgement = ack-nhfb,
ajournal = "J. Math. Phys. (MIT)",
author-dates = "Garrett Birkhoff (19 January 1911--22 November 1996)",
fjournal = "Journal of Mathematics and Physics (MIT)",
GB-number = "69",
journal-URL = "http://onlinelibrary.wiley.com/journal/10.1111/(ISSN)1467-9590",
onlinedate = "April 1950",
ZBmath = "3059869",
}
@Article{Birkhoff:1950:WEC,
author = "Garrett Birkhoff and Milton Plesset and N. Simmons",
title = "Wall effects in cavity flow. {I}",
journal = j-QUART-APPL-MATH,
volume = "8",
number = "2",
pages = "151--168",
month = jul,
year = "1950",
CODEN = "QAMAAY",
DOI = "https://doi.org/10.1090/qam/37671",
ISSN = "0033-569X (print), 1552-4485 (electronic)",
ISSN-L = "0033-569X",
MRclass = "76.1X",
MRnumber = "37671",
MRreviewer = "D. Gilbarg",
bibdate = "Sun Oct 29 10:49:01 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/birkhoff-garrett.bib",
ZMnumber = "0038.12205",
acknowledgement = ack-nhfb,
author-dates = "Garrett Birkhoff (19 January 1911--22 November 1996)",
fjournal = "Quarterly of Applied Mathematics",
GB-number = "66",
journal-URL = "http://dl.acm.org/citation.cfm?id=J641;
http://www.ams.org/journals/qam",
ZBmath = "3057765",
}
@Article{Birkhoff:1951:ECT,
author = "G. Birkhoff and D. M. Young and E. H. Zarantonello",
title = "Effective conformal transformation of smooth, simply
connected domains",
journal = j-PROC-NATL-ACAD-SCI-USA,
volume = "37",
number = "7",
pages = "411--414",
day = "1",
month = jul,
year = "1951",
CODEN = "PNASA6",
DOI = "https://doi.org/10.1073/pnas.37.7.411",
ISSN = "0027-8424 (print), 1091-6490 (electronic)",
ISSN-L = "0027-8424",
MRclass = "65.0X",
MRnumber = "43582",
MRreviewer = "Charles Saltzer",
bibdate = "Sun Oct 29 10:49:01 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/birkhoff-garrett.bib;
https://www.math.utah.edu/pub/bibnet/authors/y/young-david-m.bib",
URL = "www.ncbi.nlm.nih.gov/pmc/articles/PMC1063389",
ZMnumber = "0043.12502",
acknowledgement = ack-nhfb,
author-dates = "David M. Young, Jr. (October 20, 1923--December 21,
2008); Garrett Birkhoff (19 January 1911--22 November
1996)",
fjournal = "Proceedings of the National Academy of Sciences of the
United States of America",
GB-number = "70",
journal-URL = "http://www.pnas.org/content/by/year",
ZBmath = "3066192",
}
@InCollection{Birkhoff:1952:FAW,
author = "Garrett Birkhoff and Jack Kotik",
editor = "G. Keulegan",
booktitle = "Gravity Waves",
title = "{Fourier} analysis of wave trains",
volume = "Circular 521",
publisher = pub-USGPO,
address = pub-USGPO:adr,
pages = "221--234",
year = "1952",
MRclass = "76.1X",
MRnumber = "55864",
MRreviewer = "J. Kamp{\'e} de F{\'e}riet",
bibdate = "Sun Oct 22 09:59:52 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/birkhoff-garrett.bib",
series = "National Bureau of Standards",
acknowledgement = ack-nhfb,
author-dates = "Garrett Birkhoff (19 January 1911--22 November 1996)",
GB-number = "77",
}
@Article{Birkhoff:1952:IMF,
author = "Garrett Birkhoff",
title = "Induced mass with free boundaries",
journal = j-QUART-APPL-MATH,
volume = "10",
number = "1",
pages = "81--86",
month = apr,
year = "1952",
CODEN = "QAMAAY",
DOI = "https://doi.org/10.1090/qam/47441",
ISSN = "0033-569X (print), 1552-4485 (electronic)",
ISSN-L = "0033-569X",
MRclass = "76.1X",
MRnumber = "47441",
MRreviewer = "D. Gilbarg",
bibdate = "Sun Oct 22 09:59:52 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/birkhoff-garrett.bib",
URL = "https://www.ams.org/journals/qam/1952-10-01/S0033-569X-1952-47441-0/S0033-569X-1952-47441-0.pdf",
ZMnumber = "0047.18307",
acknowledgement = ack-nhfb,
author-dates = "Garrett Birkhoff (19 January 1911--22 November 1996)",
fjournal = "Quarterly of Applied Mathematics",
GB-number = "73",
journal-URL = "http://dl.acm.org/citation.cfm?id=J641;
http://www.ams.org/journals/qam",
received = "16 July 1951",
remark = "TO DO: Wall effects I is \cite{Birkhoff:1950:WEC}.
Where is II from??",
xx-GB-number = "72",
xxauthor = "Garrett Birkhoff and Milton Plesset and N. Simmons",
xxnote = "Check: differs from volume/number/pages in GB
bibliography.",
xxtitle = "Wall effects in cavity flow. {II}",
ZBmath = "3073718",
}
@Article{Birkhoff:1952:NTV,
author = "Garrett Birkhoff",
title = "A new theory of vortex streets",
journal = j-PROC-NATL-ACAD-SCI-USA,
volume = "38",
number = "5",
pages = "409--410",
day = "1",
month = may,
year = "1952",
CODEN = "PNASA6",
DOI = "https://doi.org/10.1073/pnas.38.5.409",
ISSN = "0027-8424 (print), 1091-6490 (electronic)",
ISSN-L = "0027-8424",
MRclass = "76.1X",
MRnumber = "48986",
MRreviewer = "M. J. Lighthill",
bibdate = "Sun Oct 29 10:49:01 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/birkhoff-garrett.bib",
ZMnumber = "0046.18510",
acknowledgement = ack-nhfb,
author-dates = "Garrett Birkhoff (19 January 1911--22 November 1996)",
fjournal = "Proceedings of the National Academy of Sciences of the
United States of America",
GB-number = "75",
journal-URL = "http://www.pnas.org/content/by/year",
ZBmath = "3071698",
}
@InProceedings{Birkhoff:1952:SPL,
author = "Garrett Birkhoff",
booktitle = "Proceedings of the {International Congress of
Mathematicians, Cambridge, Mass., 30 August--6
September 1950, vol. 2}",
title = "Some problems of lattice theory",
publisher = pub-AMS,
address = pub-AMS:adr,
pages = "4--7",
year = "1952",
MRclass = "09.1X",
MRnumber = "46339",
MRreviewer = "O. Frink",
bibdate = "Sun Oct 22 09:59:52 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/birkhoff-garrett.bib",
ZMnumber = "0049.01602",
acknowledgement = ack-nhfb,
author-dates = "Garrett Birkhoff (19 January 1911--22 November 1996)",
GB-number = "74",
ZBmath = "3076666",
}
@Article{Birkhoff:1952:WEC,
author = "Garrett Birkhoff and Milton Plesset and N. Simmons",
title = "Wall effects in cavity flow. {II}",
journal = j-QUART-APPL-MATH,
volume = "9",
number = "4",
pages = "413--421",
month = jan,
year = "1952",
CODEN = "QAMAAY",
DOI = "https://doi.org/10.1090/qam/44278",
ISSN = "0033-569X (print), 1552-4485 (electronic)",
ISSN-L = "0033-569X",
MRclass = "76.1X",
MRnumber = "44278",
MRreviewer = "D. Gilbarg",
bibdate = "Sun Oct 29 10:49:01 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/birkhoff-garrett.bib",
ZMnumber = "0046.18503",
acknowledgement = ack-nhfb,
author-dates = "Garrett Birkhoff (19 January 1911--22 November 1996)",
fjournal = "Quarterly of Applied Mathematics",
journal-URL = "http://dl.acm.org/citation.cfm?id=J641;
http://www.ams.org/journals/qam",
ZBmath = "3071691",
}
@Article{Birkhoff:1953:FVS,
author = "Garrett Birkhoff",
title = "Formation of vortex streets",
journal = j-J-APPL-PHYS,
volume = "24",
pages = "98--103",
year = "1953",
CODEN = "JAPIAU",
DOI = "https://doi.org/10.1063/1.1721143",
ISSN = "0021-8979 (print), 1089-7550 (electronic), 1520-8850",
ISSN-L = "0021-8979",
MRclass = "76.1X",
MRnumber = "54423",
MRreviewer = "M. J. Lighthill",
bibdate = "Sun Oct 29 10:49:01 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/birkhoff-garrett.bib",
ZMnumber = "0050.19401",
acknowledgement = ack-nhfb,
author-dates = "Garrett Birkhoff (19 January 1911--22 November 1996)",
fjournal = "Journal of Applied Physics",
GB-number = "76",
journal-URL = "http://aip.scitation.org/toc/jap/current",
ZBmath = "3079224",
}
@Article{Birkhoff:1953:IMV,
author = "Garrett Birkhoff",
title = "Induced mass with variable density",
journal = j-QUART-APPL-MATH,
volume = "11",
number = "1",
pages = "109--110",
month = apr,
year = "1953",
CODEN = "QAMAAY",
DOI = "https://doi.org/10.1090/qam/55092",
ISSN = "0033-569X (print), 1552-4485 (electronic)",
ISSN-L = "0033-569X",
MRclass = "76.1X",
MRnumber = "55092",
MRreviewer = "D. Gilbarg",
bibdate = "Sun Oct 29 10:49:01 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/birkhoff-garrett.bib",
ZMnumber = "0051.16904",
acknowledgement = ack-nhfb,
author-dates = "Garrett Birkhoff (19 January 1911--22 November 1996)",
fjournal = "Quarterly of Applied Mathematics",
GB-number = "78",
journal-URL = "http://dl.acm.org/citation.cfm?id=J641;
http://www.ams.org/journals/qam",
ZBmath = "3081231",
}
@InProceedings{Birkhoff:1953:NMC,
author = "G. Birkhoff and D. M. Young and E. H. Zarantonello",
booktitle = "Proceedings of {Symposia in Applied Mathematics, Vol.
IV, Fluid dynamics}",
title = "Numerical methods in conformal mapping",
publisher = pub-MCGRAW-HILL,
address = pub-MCGRAW-HILL:adr,
pages = "117--140",
year = "1953",
MRclass = "65.0X",
MRnumber = "57637",
MRreviewer = "Charles Saltzer",
bibdate = "Sun Oct 22 09:59:52 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/birkhoff-garrett.bib;
https://www.math.utah.edu/pub/bibnet/authors/y/young-david-m.bib",
ZMnumber = "0053.26402",
acknowledgement = ack-nhfb,
author-dates = "David M. Young, Jr. (October 20, 1923--December 21,
2008); Garrett Birkhoff (19 January 1911--22 November
1996)",
GB-number = "71",
ZBmath = "3085413",
}
@Book{Birkhoff:1953:SMA,
author = "Garrett Birkhoff and Saunders {Mac Lane}",
title = "A Survey of Modern Algebra",
publisher = pub-MACMILLAN,
address = pub-MACMILLAN:adr,
edition = "Revised [second??]",
pages = "xi + 472",
year = "1953",
MRclass = "09.0X",
MRnumber = "54551",
bibdate = "Sun Oct 22 09:59:52 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/birkhoff-garrett.bib",
note = "Rev. ed",
ZMnumber = "0052.25402",
acknowledgement = ack-nhfb,
author-dates = "Garrett Birkhoff (19 January 1911--22 November 1996);
Saunders Mac Lane (1909--2005)",
xxpages = "vii + 472",
ZBmath = "3083503",
}
@InCollection{Birkhoff:1954:CAS,
author = "Garrett Birkhoff and John M. Walsh",
booktitle = "Publ. Sci. Tech. Minist{\`e}re de {l'Air}",
title = "Conical, axially symmetric flows",
publisher = "????",
address = "????",
pages = "1--12",
year = "1954",
MRclass = "76.1X",
MRnumber = "63215",
MRreviewer = "A. Robinson",
bibdate = "Sun Oct 22 09:59:52 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/birkhoff-garrett.bib",
note = "M{\''}emoires sur la m{\''}ecanique des fluides
offerts {\`a} M. Dimitri P. Riabouchinsky",
acknowledgement = ack-nhfb,
author-dates = "Garrett Birkhoff (19 January 1911--22 November 1996)",
GB-number = "80",
}
@Article{Birkhoff:1954:CPC,
author = "Garrett Birkhoff and Herman H. Goldstine and E. H.
Zarantonello",
title = "Calculation of plane cavity flows past curved
obstacles",
journal = "Univ. e Politec. Torino Rend. Sem. Mat.",
volume = "13",
pages = "205--224",
year = "1954",
ISSN = "0373-1243",
MRclass = "76.0X",
MRnumber = "72601",
MRreviewer = "D. Gilbarg",
bibdate = "Sun Oct 22 09:59:52 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/birkhoff-garrett.bib",
ZMnumber = "0056.43004",
acknowledgement = ack-nhfb,
author-dates = "Garrett Birkhoff (19 January 1911--22 November 1996)",
fjournal = "Universit\`a e Politecnico di Torino. Rendiconti del
Seminario Matematico",
GB-number = "88",
xxtitle = "Calculations of plane cavity flows past curved
obstacles",
ZBmath = "3090812",
}
@Article{Birkhoff:1954:CPD,
author = "Garrett Birkhoff",
title = "Classification of Partial Differential Equations",
journal = j-J-SIAM,
volume = "2",
number = "1",
pages = "57--67",
month = mar,
year = "1954",
CODEN = "JSIMAV",
DOI = "https://doi.org/10.1137/0102005",
ISSN = "0368-4245 (print), 1095-712X (electronic)",
ISSN-L = "0368-4245",
MRclass = "35.0X",
MRnumber = "62907",
MRreviewer = "H. G. Garnir",
bibdate = "Thu Oct 15 18:16:06 MDT 1998",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/birkhoff-garrett.bib;
https://www.math.utah.edu/pub/tex/bib/siam.bib; JSTOR
database",
URL = "semanticscholar.org/paper/1c342287001b694d7ee47717e024dce9d30befea",
ZMnumber = "0059.08702",
acknowledgement = ack-nhfb,
author-dates = "Garrett Birkhoff (19 January 1911--22 November 1996)",
fjournal = "Journal of the Society for Industrial and Applied
Mathematics",
GB-number = "83",
journal-URL = "http://epubs.siam.org/loi/smjmap.1",
ZBmath = "3094503",
}
@Article{Birkhoff:1954:FSH,
author = "Garrett Birkhoff",
title = "{Fourier} synthesis of homogeneous turbulence",
journal = j-COMM-PURE-APPL-MATH,
volume = "7",
pages = "19--44",
year = "1954",
CODEN = "CPAMAT, CPMAMV",
DOI = "https://doi.org/10.1002/cpa.3160070104",
ISSN = "0010-3640 (print), 1097-0312 (electronic)",
ISSN-L = "0010-3640",
MRclass = "76.1X",
MRnumber = "63868",
MRreviewer = "J. Bass",
bibdate = "Sun Oct 29 10:49:01 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/birkhoff-garrett.bib",
ZMnumber = "0055.12504",
acknowledgement = ack-nhfb,
author-dates = "Garrett Birkhoff (19 January 1911--22 November 1996)",
fjournal = "Communications on Pure and Applied Mathematics",
GB-number = "82",
journal-URL = "http://onlinelibrary.wiley.com/journal/10.1002/(ISSN)1097-0312",
ZBmath = "3087280",
}
@InCollection{Birkhoff:1954:IP,
author = "Garrett Birkhoff",
booktitle = "Studies in mathematics and mechanics presented to
{Richard von Mises}",
title = "Induced potentials",
publisher = pub-ACADEMIC,
address = pub-ACADEMIC:adr,
pages = "88--96",
year = "1954",
MRclass = "31.0X",
MRnumber = "65719",
MRreviewer = "M. Pinl",
bibdate = "Sun Oct 22 09:59:52 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/birkhoff-garrett.bib",
ZMnumber = "0059.09402",
acknowledgement = ack-nhfb,
author-dates = "Garrett Birkhoff (19 January 1911--22 November 1996)",
GB-number = "87",
ZBmath = "3094521",
}
@Article{Birkhoff:1954:MTH,
author = "Garrett Birkhoff and Joseph {Kamp{\'e} de
F{\'e}riet}",
title = "Sur un mod{\`e}le de turbulence homog{\`e}ne
isotrope",
journal = j-C-R-ACAD-SCI-PARIS,
volume = "239",
pages = "16--18",
year = "1954",
ISSN = "0001-4036 (print), 2419-6304 (electronic)",
MRclass = "76.1X",
MRnumber = "62575",
MRreviewer = "J. Bass",
bibdate = "Sun Oct 29 10:49:01 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/birkhoff-garrett.bib",
ZMnumber = "0055.36905",
acknowledgement = ack-nhfb,
author-dates = "Garrett Birkhoff (19 January 1911--22 November 1996)",
fjournal = "Comptes Rendus Hebdomadaires des S{\'e}ances de
l'Acad{\'e}mie des Sciences, Paris",
GB-number = "84",
journal-URL = "http://gallica.bnf.fr/ark:/12148/cb343481087/date",
language = "French",
ZBmath = "3088541",
}
@Article{Birkhoff:1954:NHE,
author = "Garrett Birkhoff and Jack Kotik",
title = "Note on the heat equation",
journal = j-PROC-AM-MATH-SOC,
volume = "5",
pages = "162--167",
year = "1954",
CODEN = "PAMYAR",
DOI = "https://doi.org/10.2307/2032123",
ISSN = "0002-9939 (print), 1088-6826 (electronic)",
ISSN-L = "0002-9939",
MRclass = "36.0X",
MRnumber = "60120",
MRreviewer = "J. L. B. Cooper",
bibdate = "Sun Oct 29 10:49:01 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/birkhoff-garrett.bib",
ZMnumber = "0055.08603",
acknowledgement = ack-nhfb,
author-dates = "Garrett Birkhoff (19 January 1911--22 November 1996)",
fjournal = "Proceedings of the American Mathematical Society",
GB-number = "81",
journal-URL = "http://www.ams.org/journals/proc",
ZBmath = "3087115",
}
@Article{Birkhoff:1954:NMS,
author = "Garrett Birkhoff and John M. Walsh",
title = "Note on maximum shock deflection",
journal = j-QUART-APPL-MATH,
volume = "12",
number = "1",
pages = "83--86",
month = apr,
year = "1954",
CODEN = "QAMAAY",
DOI = "https://doi.org/10.1090/qam/60374",
ISSN = "0033-569X (print), 1552-4485 (electronic)",
ISSN-L = "0033-569X",
MRclass = "76.1X",
MRnumber = "60374",
MRreviewer = "D. C. Pack",
bibdate = "Sun Oct 29 10:49:01 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/birkhoff-garrett.bib",
ZMnumber = "0057.42004",
acknowledgement = ack-nhfb,
author-dates = "Garrett Birkhoff (19 January 1911--22 November 1996)",
fjournal = "Quarterly of Applied Mathematics",
GB-number = "79",
journal-URL = "http://dl.acm.org/citation.cfm?id=J641;
http://www.ams.org/journals/qam",
ZBmath = "3092403",
}
@Article{Birkhoff:1954:NTI,
author = "Garrett Birkhoff",
title = "Note on {Taylor} instability",
journal = j-QUART-APPL-MATH,
volume = "12",
number = "3",
pages = "306--309",
year = "1954",
CODEN = "QAMAAY",
DOI = "https://doi.org/10.1090/qam/65316",
ISSN = "0033-569X (print), 1552-4485 (electronic)",
ISSN-L = "0033-569X",
MRclass = "76.1X",
MRnumber = "65316",
MRreviewer = "James B. Serrin",
bibdate = "Sun Oct 29 10:49:01 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/birkhoff-garrett.bib",
ZMnumber = "0057.41502",
acknowledgement = ack-nhfb,
author-dates = "Garrett Birkhoff (19 January 1911--22 November 1996)",
fjournal = "Quarterly of Applied Mathematics",
GB-number = "85",
journal-URL = "http://dl.acm.org/citation.cfm?id=J641;
http://www.ams.org/journals/qam",
ZBmath = "3092379",
}
@Article{Birkhoff:1954:STM,
author = "Garrett Birkhoff and Jack Kotik",
title = "Some transformations of {Michell}'s integral",
journal = "Publications from the National Technical University of
Athens",
volume = "1954",
number = "10",
pages = "26--26",
year = "1954",
MRclass = "76.0X",
MRnumber = "78119",
MRreviewer = "F. Ursell",
bibdate = "Sun Oct 22 09:59:52 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/birkhoff-garrett.bib",
acknowledgement = ack-nhfb,
ajournal = "Publ. Nat. Tech. Univ. Athens",
author-dates = "Garrett Birkhoff (19 January 1911--22 November 1996)",
fjournal = "Publications from the National Technical University of
Athens",
GB-number = "89",
}
@TechReport{Birkhoff:1954:TIL,
author = "Garrett Birkhoff",
title = "{Taylor} Instability and Laminar Mixing",
type = "Report",
number = "LA-1862",
institution = "Los Alamos National Laboratory",
address = "Los Alamos, NM, USA",
pages = "i + 76",
day = "1",
month = dec,
year = "1954",
DOI = "https://doi.org/10.2172/4372366",
bibdate = "Wed Nov 01 07:13:47 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/birkhoff-garrett.bib",
note = "See also Appendices A--H published separately in
Report LA-1927 (1956) \cite{Birkhoff:1956:TIA}.",
URL = "https://www.osti.gov/biblio/4372366",
abstract = "Taylor instability involves five successive stages of
mixing: infinitesimal amplitude, finite amplitude,
Taylor's ``asymptotic'' inter penetration by spikes and
round-ended columns, breakup of these spikes, and
turbulent mixing. The existing theory of Taylor
instability is critically reviewed and extended. This
theory covers the first three stages in the growth of
periodic disturbances of the interface separating two
non-viscous, incompressible fluids. (Using Fourier
analysis, the first stage can be treated without
assuming periodicity.)\par
The analysis is based on classical hydrodynamics,
supplemented by modern numerical methods. It is
indicated bow the fourth stage can be treated
similarly. However, the fifth stage must be treated by
statistical methods, which also throw light on the
first four stages. The application of statistical
methods to Taylor instability will be treated in a
later report.\par
A supplement to the present report, consisting of
appendices which give expanded mathematical discussions
of special topics, will also appear later",
acknowledgement = ack-nhfb,
author-dates = "Garrett Birkhoff (19 January 1911--22 November 1996)",
GB-number = "115",
}
@Article{Birkhoff:1954:TWR,
author = "Garrett Birkhoff and Jack Kotik",
title = "Theory of the wave of resistance of ships. {II}. {The}
calculation of {Michell}'s integral",
journal = "Transactions of the Society of Naval Architects and
Marine Engineers",
volume = "62",
pages = "372--385",
year = "1954",
ISSN = "0081-1661",
MRclass = "76.0X",
MRnumber = "78118",
MRreviewer = "F. Ursell",
bibdate = "Sun Oct 22 09:59:52 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/birkhoff-garrett.bib",
acknowledgement = ack-nhfb,
ajournal = "Trans. Soc. Naval Arch. Marine Engrs.",
author-dates = "Garrett Birkhoff (19 January 1911--22 November 1996)",
fjournal = "Transactions. Society of Naval Architects and Marine
Engineers",
journal-URL = "https://navalmarinearchive.com/collections/sname.html;
https://www.biodiversitylibrary.org/bibliography/38774",
remark = "Not found at journal Web sites. Is this the same as
\cite{Birkhoff:1954:WRS}??",
}
@Article{Birkhoff:1954:WRS,
author = "Garrett Birkhoff and Jack Kotik and B.
Korvin-Kroukovsky",
title = "Wave Resistance of Ships",
journal = "Transactions of the Society of Naval Architects and
Marine Engineers",
volume = "??",
number = "??",
pages = "359--396",
month = "????",
year = "1954",
bibdate = "Wed Nov 01 06:49:12 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/birkhoff-garrett.bib",
acknowledgement = ack-nhfb,
ajournal = "Trans. Soc. Nav. Arch. Marine Eng.",
author-dates = "Garrett Birkhoff (19 January 1911--22 November 1996)",
fjournal = "Transactions. Society of Naval Architects and Marine
Engineers",
GB-number = "86",
journal-URL = "https://navalmarinearchive.com/collections/sname.html;
https://www.biodiversitylibrary.org/bibliography/38774",
remark = "Is this the same as \cite{Birkhoff:1954:TWR}??",
xxnote = "Check author order??",
}
@Book{Birkhoff:1955:H,
author = "G. Birkhoff",
title = "Hydrodynamique",
publisher = pub-DUNOD,
address = pub-DUNOD:adr,
pages = "xii + 228",
year = "1955",
bibdate = "Sun Oct 29 10:49:01 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/birkhoff-garrett.bib",
note = "Traduit de l'am{\'e}ricain par M. Jorand.",
ZMnumber = "0068.18801",
acknowledgement = ack-nhfb,
author-dates = "Garrett Birkhoff (19 January 1911--22 November 1996)",
language = "French",
ZBmath = "3115654",
}
@Book{Birkhoff:1955:HSL,
author = "Garrett Birkhoff",
title = "Hydrodynamics. {A} Study in Logic, Fact, and
Similitude",
publisher = pub-DOVER,
address = pub-DOVER:adr,
pages = "xiii + 186",
year = "1955",
MRclass = "76.1X",
MRnumber = "70349",
bibdate = "Sun Oct 22 09:59:52 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/birkhoff-garrett.bib",
ZMnumber = "0066.42204",
acknowledgement = ack-nhfb,
author-dates = "Garrett Birkhoff (19 January 1911--22 November 1996)",
ZBmath = "3113345",
}
@Article{Birkhoff:1956:LOR,
author = "Garrett Birkhoff and R. S. Pierce",
title = "Lattice-ordered rings",
journal = "Anais da Academia Brasileira de Ci{\^e}ncias",
volume = "28",
pages = "41--69",
year = "1956",
ISSN = "0001-3765 (print), 1678-2690 (electronic)",
ISSN-L = "0001-3765",
MRclass = "20.0X",
MRnumber = "80099",
MRreviewer = "P. F. Conrad",
bibdate = "Sun Oct 29 10:49:01 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/birkhoff-garrett.bib",
ZMnumber = "0070.26602",
acknowledgement = ack-nhfb,
ajournal = "An. Acad. Brasil. Ci.",
ajournal-2 = "Anais Acad. Brasil. Ci.",
author-dates = "Garrett Birkhoff (19 January 1911--22 November 1996)",
fjournal = "Anais da Academia Brasileira de Ci{\^e}ncias",
GB-number = "91",
ZBmath = "3117624",
}
@Article{Birkhoff:1956:NLN,
author = "Garrett Birkhoff and J. B. Diaz",
title = "Non-linear network problems",
journal = j-QUART-APPL-MATH,
volume = "13",
number = "4",
pages = "431--443",
year = "1956",
CODEN = "QAMAAY",
DOI = "https://doi.org/10.1090/qam/77398",
ISSN = "0033-569X (print), 1552-4485 (electronic)",
ISSN-L = "0033-569X",
MRclass = "78.0X",
MRnumber = "77398",
MRreviewer = "R. J. Duffin",
bibdate = "Sun Oct 29 10:49:01 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/birkhoff-garrett.bib",
ZMnumber = "0074.32802",
acknowledgement = ack-nhfb,
author-dates = "Garrett Birkhoff (19 January 1911--22 November 1996)",
fjournal = "Quarterly of Applied Mathematics",
GB-number = "90",
journal-URL = "http://dl.acm.org/citation.cfm?id=J641;
http://www.ams.org/journals/qam",
xxtitle = "Non-linear network theory",
ZBmath = "3124260",
}
@Article{Birkhoff:1956:SSB,
author = "Garrett Birkhoff",
title = "Stability of spherical bubbles",
journal = j-QUART-APPL-MATH,
volume = "13",
number = "4",
pages = "451--453",
year = "1956",
CODEN = "QAMAAY",
DOI = "https://doi.org/10.1090/qam/79932",
ISSN = "0033-569X (print), 1552-4485 (electronic)",
ISSN-L = "0033-569X",
MRclass = "76.0X",
MRnumber = "79932",
MRreviewer = "James B. Serrin",
bibdate = "Sun Oct 29 10:49:01 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/birkhoff-garrett.bib",
ZMnumber = "0070.19603",
acknowledgement = ack-nhfb,
author-dates = "Garrett Birkhoff (19 January 1911--22 November 1996)",
fjournal = "Quarterly of Applied Mathematics",
GB-number = "92",
journal-URL = "http://dl.acm.org/citation.cfm?id=J641;
http://www.ams.org/journals/qam",
ZBmath = "3117302",
}
@TechReport{Birkhoff:1956:TIA,
author = "Garrett Birkhoff",
title = "{Taylor} Instability: Appendixes to {Report LA-1862}",
type = "Report",
number = "LA-1927",
institution = "Los Alamos National Laboratory",
address = "Los Alamos, NM, USA",
pages = "iv + 91",
day = "2",
month = may,
year = "1956",
DOI = "https://doi.org/10.2172/4364508",
bibdate = "Wed Nov 01 09:54:43 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/birkhoff-garrett.bib",
note = "Report written September 1955. Report distributed May
1956. Report reprinted December 1976. See also
\cite{Birkhoff:1954:TIL}.",
URL = "https://sgp.fas.org/othergov/doe/lanl/lib-www/la-pubs/00353563.pdf",
acknowledgement = ack-nhfb,
author-dates = "Garrett Birkhoff (19 January 1911--22 November 1996)",
GB-number = "115",
remark = "From the introductionn ``The material below consists
of a more elaborate analysis of various topics
discussed in Report LA-1862, ``Taylor Instability and
Laminar Mixing'' \cite{Birkhoff:1954:TIL}.",
}
@Article{Birkhoff:1957:EJT,
author = "Garrett Birkhoff",
title = "Extensions of {Jentzsch}'s theorem",
journal = j-TRANS-AM-MATH-SOC,
volume = "85",
number = "1",
pages = "219--227",
month = may,
year = "1957",
CODEN = "TAMTAM",
DOI = "https://doi.org/10.2307/1992971",
ISSN = "0002-9947 (print), 1088-6850 (electronic)",
ISSN-L = "0002-9947",
MRclass = "46.2X",
MRnumber = "87058",
MRreviewer = "E. H. Rothe",
bibdate = "Sun Oct 29 10:49:01 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/birkhoff-garrett.bib",
ZMnumber = "0079.13502",
acknowledgement = ack-nhfb,
author-dates = "Garrett Birkhoff (19 January 1911--22 November 1996)",
fjournal = "Transactions of the American Mathematical Society",
GB-number = "93",
journal-URL = "http://www.ams.org/journals/tran/",
ZBmath = "3129763",
}
@TechReport{Birkhoff:1957:IAD,
author = "Garrett Birkhoff and Richard S. Varga",
title = "Implicit Alternating Direction Methods",
type = "Technical Report",
number = "WAPD-T-650; NSA-12-003044",
institution = "Westinghouse Electric Corporation Bettis Plant",
address = "Pittsburgh, PA, USA",
pages = "??",
day = "1",
month = oct,
year = "1957",
bibdate = "Sat Nov 04 07:38:59 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/birkhoff-garrett.bib;
https://www.math.utah.edu/pub/bibnet/authors/v/varga-richard-steven.bib",
URL = "https://www.osti.gov/biblio/4317092",
acknowledgement = ack-nhfb,
author-dates = "Garrett Birkhoff (19 January 1911--22 November 1996);
Richard S. Varga (8 October 1928--25 February 2022)",
remark = "Published in \cite{Birkhoff:1959:IAD}.",
}
@Book{Birkhoff:1957:JWC,
author = "Garrett Birkhoff and E. H. Zarantonello",
title = "Jets, Wakes, and Cavities",
publisher = pub-ACADEMIC,
address = pub-ACADEMIC:adr,
pages = "xii + 353",
year = "1957",
MRclass = "76.0X",
MRnumber = "88230",
MRreviewer = "D. Gilbarg",
bibdate = "Sun Oct 22 09:59:52 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/birkhoff-garrett.bib",
ZMnumber = "0077.18703",
acknowledgement = ack-nhfb,
author-dates = "Garrett Birkhoff (19 January 1911--22 November 1996)",
ZBmath = "3126283",
}
@TechReport{Birkhoff:1957:RCN,
author = "Garrett Birkhoff and Richard S. Varga",
title = "Reactor Criticality and Non-Negative Matrices",
type = "Technical Report",
number = "WAPD-166; NSA-11-013507",
institution = "Westinghouse Electric Corporation Bettis Plant",
address = "Pittsburgh, PA, USA",
pages = "??",
day = "1",
month = aug,
year = "1957",
bibdate = "Sat Nov 04 07:43:00 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/birkhoff-garrett.bib;
https://www.math.utah.edu/pub/bibnet/authors/v/varga-richard-steven.bib",
URL = "https://www.osti.gov/biblio/4334992",
acknowledgement = ack-nhfb,
author-dates = "Garrett Birkhoff (19 January 1911--22 November 1996);
Richard S. Varga (8 October 1928--25 February 2022)",
}
@Article{Birkhoff:1957:RPB,
author = "Garrett Birkhoff and David Carter",
title = "Rising plane bubbles",
journal = j-J-MATH-MECH,
volume = "6",
number = "4",
pages = "769--779",
year = "1957",
CODEN = "JOMMAN",
DOI = "https://doi.org/10.1512/iumj.1957.6.56042",
ISSN = "0095-9057 (print), 1943-5274 (electronic)",
ISSN-L = "0095-9057",
MRclass = "76.0X",
MRnumber = "91691",
MRreviewer = "P. R. Garabedian",
bibdate = "Sun Oct 29 10:49:01 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/birkhoff-garrett.bib",
ZMnumber = "0080.18403",
acknowledgement = ack-nhfb,
ajournal = "J. Math. Mech.",
author-dates = "Garrett Birkhoff (19 January 1911--22 November 1996)",
fjournal = "Journal of Mathematics and Mechanics",
GB-number = "94",
journal-URL = "http://www.iumj.indiana.edu/",
ZBmath = "3131687",
}
@InProceedings{Birkhoff:1958:JWC,
author = "Garrett Birkhoff",
editor = "????",
booktitle = "Hydrodynamic noise, cavity flow: [proceedings of the]
second Symposium on Naval Hydrodynamics, August 25--29,
1958, Washington, {D.C}.",
title = "Jets, Wakes and Cavities",
publisher = "Office of Naval Research",
address = "Washington, DC, USA",
bookpages = "vi + 583",
pages = "261--276",
year = "1958",
bibdate = "Wed Nov 01 07:04:23 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/birkhoff-garrett.bib",
note = "ACR-38.",
acknowledgement = ack-nhfb,
author-dates = "Garrett Birkhoff (19 January 1911--22 November 1996)",
GB-number = "108",
xxbooktitle = "Proceedings of the Second Symposium on Naval
Hydrodynamics",
}
@Article{Birkhoff:1958:NLT,
author = "Garrett Birkhoff",
title = "{Von Neumann} and lattice theory",
journal = j-BULL-AMS,
volume = "64",
number = "3 (part 2)",
pages = "50--56",
month = may,
year = "1958",
CODEN = "BAMOAD",
DOI = "https://doi.org/10.1090/S0002-9904-1958-10192-5",
ISSN = "0002-9904 (print), 1936-881x (electronic)",
ISSN-L = "0002-9904",
MRclass = "01.00 (06.00)",
MRnumber = "0095754 (20 \#2255)",
bibdate = "Sun Oct 29 10:49:01 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/birkhoff-garrett.bib;
https://www.math.utah.edu/pub/bibnet/authors/v/von-neumann-john.bib",
URL = "http://projecteuclid.org/euclid.bams/1183522370",
ZMnumber = "0080.00412",
acknowledgement = ack-nhfb,
author-dates = "Garrett Birkhoff (19 January 1911--22 November 1996)",
fjournal = "Bulletin of the American Mathematical Society",
GB-number = "96",
journal-URL = "http://www.ams.org/journals/bull/all_issues.html",
remark = "Special issue in memory of John von Neumann
(1903--1957).",
ZBmath = "3131053",
}
@Article{Birkhoff:1958:RCN,
author = "Garrett Birkhoff and Richard S. Varga",
title = "Reactor Criticality and Nonnegative Matrices",
journal = j-J-SIAM,
volume = "6",
number = "4",
pages = "354--377",
month = dec,
year = "1958",
CODEN = "JSIMAV",
DOI = "https://doi.org/10.1137/0106025",
ISSN = "0368-4245 (print), 1095-712X (electronic)",
ISSN-L = "0368-4245",
MRclass = "82.00 (60.00)",
MRnumber = "100984",
MRreviewer = "D. M. Young, Jr.",
bibdate = "Sun Oct 29 10:49:01 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/birkhoff-garrett.bib;
https://www.math.utah.edu/pub/bibnet/authors/v/varga-richard-steven.bib;
https://www.math.utah.edu/pub/tex/bib/siam.bib; JSTOR
database",
note = "See errata \cite{Birkhoff:1959:ERC}.",
URL = "hdl.handle.net/2027/mdp.39015095064807;
http://www.math.kent.edu/~varga/pub/paper_8.pdf",
ZMnumber = "0086.23301",
acknowledgement = ack-nhfb,
author-dates = "Garrett Birkhoff (19 January 1911--22 November 1996);
Richard S. Varga (8 October 1928--25 February 2022)",
fjournal = "Journal of the Society for Industrial and Applied
Mathematics",
GB-number = "99",
journal-URL = "http://epubs.siam.org/loi/smjmap.1",
ZBmath = "3141279",
}
@Article{Birkhoff:1958:RPD,
author = "Garrett Birkhoff and Thomas Mullikin",
title = "Regular partial differential equations",
journal = j-PROC-AM-MATH-SOC,
volume = "9",
number = "1",
pages = "18--25",
month = feb,
year = "1958",
CODEN = "PAMYAR",
DOI = "https://doi.org/10.2307/2033391",
ISSN = "0002-9939 (print), 1088-6826 (electronic)",
ISSN-L = "0002-9939",
MRclass = "35.00",
MRnumber = "96030",
MRreviewer = "K. Chandrasekharan",
bibdate = "Sun Oct 29 10:49:01 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/birkhoff-garrett.bib",
ZMnumber = "0084.08802",
acknowledgement = ack-nhfb,
author-dates = "Garrett Birkhoff (19 January 1911--22 November 1996)",
fjournal = "Proceedings of the American Mathematical Society",
GB-number = "95",
journal-URL = "http://www.ams.org/journals/proc",
received = "26 June 1956 (revised 17 May 1957)",
xxtitle = "WRONG!: Regularity of Partial Differential Equations",
ZBmath = "3137614",
}
@Article{Birkhoff:1958:SBG,
author = "Garrett Birkhoff and R. S. Margulies and W. A.
Horning",
title = "Spherical bubble growth",
journal = j-PHYS-FLUIDS,
volume = "1",
pages = "201--204",
year = "1958",
CODEN = "PHFLE6",
DOI = "https://doi.org/10.1063/1.1724342",
ISSN = "0031-9171",
ISSN-L = "1070-6631",
MRclass = "80.00 (76.00)",
MRnumber = "114549",
MRreviewer = "P. R. Garabedian",
bibdate = "Sun Oct 22 09:59:52 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/birkhoff-garrett.bib",
acknowledgement = ack-nhfb,
author-dates = "Garrett Birkhoff (19 January 1911--22 November 1996)",
fjournal = "The Physics of Fluids",
GB-number = "97",
journal-URL = "http://scitation.aip.org/content/aip/journal/pof1",
}
@Article{Birkoff:1958:KHT,
author = "Garrett Birkhoff and Joseph {Kamp{\'e} de
F{\'e}riet}",
title = "Kinematics of homogeneous turbulence",
journal = j-J-MATH-MECH,
volume = "7",
number = "5",
pages = "663--703",
year = "1958",
CODEN = "JOMMAN",
DOI = "https://doi.org/10.1512/iumj.1958.7.57038",
ISSN = "0095-9057 (print), 1943-5274 (electronic)",
ISSN-L = "0095-9057",
MRclass = "76.00 (28.00)",
MRnumber = "98539",
MRreviewer = "J. Bass",
bibdate = "Sun Oct 22 09:59:52 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/birkhoff-garrett.bib",
ZMnumber = "0081.41103",
acknowledgement = ack-nhfb,
ajournal = "J. Math. Mech.",
author-dates = "Garrett Birkhoff (19 January 1911--22 November 1996)",
fjournal = "Journal of Mathematics and Mechanics",
GB-number = "98",
journal-URL = "http://www.iumj.indiana.edu/",
ZBmath = "3134055",
}
@Article{Birkhoff:1959:DVS,
author = "Garrett Birkhoff and Joseph Fisher",
title = "Do vortex sheets roll up?",
journal = "Rendiconti del Circolo Matem{\`a}tico di Palermo.
Serie II",
volume = "8",
pages = "77--90",
year = "1959",
DOI = "https://doi.org/10.1007/BF02843773",
ISSN = "0009-725x (print), 1973-4409 (electronic)",
MRclass = "76.00",
MRnumber = "114424",
MRreviewer = "P. R. Garabedian",
bibdate = "Sun Oct 29 10:49:01 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/birkhoff-garrett.bib",
ZMnumber = "0091.17602",
acknowledgement = ack-nhfb,
ajournal = "Rend. Circ. Mat. Palermo (2)",
author-dates = "Garrett Birkhoff (19 January 1911--22 November 1996)",
fjournal = "Rendiconti del Circolo Matem{\`a}tico di Palermo.
Serie II",
GB-number = "102",
journal-URL = "https://link.springer.com/journal/12215",
ZBmath = "3148941",
}
@Article{Birkhoff:1959:ERC,
author = "Garrett Birkhoff and Richard S. Varga",
title = "Errata: {``Reactor Criticality and Nonnegative
Matrices'' [J. SIAM {\bf 6} (1958), no. 4, 354--377]}",
journal = j-J-SIAM,
volume = "7",
number = "3",
pages = "343--343",
month = sep,
year = "1959",
CODEN = "JSIMAV",
ISSN = "0368-4245 (print), 1095-712X (electronic)",
ISSN-L = "0368-4245",
bibdate = "Thu Oct 15 18:16:06 MDT 1998",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/birkhoff-garrett.bib;
https://www.math.utah.edu/pub/bibnet/authors/v/varga-richard-steven.bib;
https://www.math.utah.edu/pub/tex/bib/siam.bib; JSTOR
database",
note = "See \cite{Birkhoff:1958:RCN}.",
acknowledgement = ack-nhfb,
author-dates = "Garrett Birkhoff (19 January 1911--22 November 1996);
Richard S. Varga (8 October 1928--25 February 2022)",
fjournal = "Journal of the Society for Industrial and Applied
Mathematics",
journal-URL = "http://epubs.siam.org/loi/smjmap.1",
}
@Article{Birkhoff:1959:IAD,
author = "Garrett Birkhoff and Richard S. Varga",
title = "Implicit alternating direction methods",
journal = j-TRANS-AM-MATH-SOC,
volume = "92",
number = "1",
pages = "13--24",
month = jul # "\slash " # sep,
year = "1959",
CODEN = "TAMTAM",
DOI = "https://doi.org/10.2307/1993164",
ISSN = "0002-9947 (print), 1088-6850 (electronic)",
ISSN-L = "0002-9947",
MRclass = "65.00 (35.00)",
MRnumber = "105814",
MRreviewer = "J. Douglas, Jr.",
bibdate = "Wed Apr 20 14:10:28 2022",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/birkhoff-garrett.bib;
https://www.math.utah.edu/pub/bibnet/authors/v/varga-richard-steven.bib",
URL = "http://www.math.kent.edu/~varga/pub/paper_10.pdf;
https://www.ams.org/journals/tran/1959-092-01/S0002-9947-1959-0105814-4/S0002-9947-1959-0105814-4.pdf;
https://www.jstor.org/stable/1993164",
ZMnumber = "0093.31201",
acknowledgement = ack-nhfb,
author-dates = "Garrett Birkhoff (19 January 1911--22 November 1996);
Richard S. Varga (8 October 1928--25 February 2022)",
fjournal = "Transactions of the American Mathematical Society",
GB-number = "101",
journal-URL = "http://www.ams.org/journals/tran/",
ZBmath = "3152585",
}
@Article{Birkhoff:1959:RCT,
author = "Garrett Birkhoff",
title = "Reactor criticality in transport theory",
journal = j-PROC-NATL-ACAD-SCI-USA,
volume = "45",
number = "4",
pages = "567--569",
day = "1",
month = apr,
year = "1959",
CODEN = "PNASA6",
DOI = "https://doi.org/10.1073/pnas.45.4.567",
ISSN = "0027-8424 (print), 1091-6490 (electronic)",
ISSN-L = "0027-8424",
MRclass = "82.00 (60.00) 82D75",
MRnumber = "104376",
MRreviewer = "R. Bellman",
bibdate = "Sun Oct 29 10:49:01 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/birkhoff-garrett.bib",
ZMnumber = "0087.23502",
acknowledgement = ack-nhfb,
author-dates = "Garrett Birkhoff (19 January 1911--22 November 1996)",
fjournal = "Proceedings of the National Academy of Sciences of the
United States of America",
GB-number = "100",
journal-URL = "http://www.pnas.org/content/by/year",
ZBmath = "3142845",
}
@InCollection{Birkhoff:1960:AFE,
author = "Garrett Birkhoff",
booktitle = "Boundary problems in differential equations
{(Proceedings of the Symposium, Madison, April 20--22,
1959}",
title = "Albedo functions for elliptic equations",
publisher = "University of Wisconsin Press",
address = "Madison, WI, USA",
pages = "163--178",
year = "1960",
MRclass = "35.06 (35.45)",
MRnumber = "145193",
MRreviewer = "R. S. Varga",
bibdate = "Sun Oct 22 09:59:52 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/birkhoff-garrett.bib",
ZMnumber = "0136.09304",
acknowledgement = ack-nhfb,
author-dates = "Garrett Birkhoff (19 January 1911--22 November 1996)",
GB-number = "103",
ZBmath = "3220648",
}
@Article{Birkhoff:1960:CSL,
author = "Garrett Birkhoff and Gian-Carlo Rota",
title = "On the completeness of {Sturm--Liouville} expansions",
journal = j-AMER-MATH-MONTHLY,
volume = "67",
number = "9",
pages = "835--841",
month = nov,
year = "1960",
CODEN = "AMMYAE",
DOI = "https://doi.org/10.2307/2309440",
ISSN = "0002-9890 (print), 1930-0972 (electronic)",
ISSN-L = "0002-9890",
MRclass = "34.30",
MRnumber = "125274",
MRreviewer = "E. C. Titchmarsh",
bibdate = "Sun Oct 29 10:49:01 2023",
bibsource = "http://www.jstor.org/journals/00029890.htm;
https://www.math.utah.edu/pub/bibnet/authors/b/birkhoff-garrett.bib",
ZMnumber = "0132.05502",
acknowledgement = ack-nhfb,
author-dates = "Garrett Birkhoff (19 January 1911--22 November 1996)",
fjournal = "American Mathematical Monthly",
GB-number = "105",
journal-URL = "http://www.jstor.org/journals/00029890.html",
ZBmath = "3213847",
}
@Book{Birkhoff:1960:HSL,
author = "Garrett Birkhoff",
title = "Hydrodynamics: a Study in Logic, Fact and Similitude",
publisher = pub-PRINCETON,
address = pub-PRINCETON:adr,
edition = "Revised",
pages = "xi + 184 + 1",
year = "1960",
MRclass = "76.00",
MRnumber = "122193",
MRreviewer = "K. Stewartson",
bibdate = "Sun Oct 22 09:59:52 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/birkhoff-garrett.bib",
note = "Reprinted in \cite{Birkhoff:2016:H}.",
ZMnumber = "0095.20303",
acknowledgement = ack-nhfb,
author-dates = "Garrett Birkhoff (19 January 1911--22 November 1996)",
ZBmath = "3155418",
}
@InCollection{Birkhoff:1960:SMP,
author = "Garrett Birkhoff",
editor = "R. E. Langer",
booktitle = "Frontiers of Numerical Mathematics (Symposium in
{Madison, WI}, 1959)",
title = "Some mathematical problems of nuclear reactor theory",
publisher = "University of Wisconsin Press",
address = "Madison, WI, USA",
pages = "23--44",
year = "1960",
MRclass = "82.00",
MRnumber = "144738",
MRreviewer = "R. S. Varga",
bibdate = "Sun Oct 22 09:59:52 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/birkhoff-garrett.bib",
ZMnumber = "0105.23201; 0151.45802",
acknowledgement = ack-nhfb,
author-dates = "Garrett Birkhoff (19 January 1911--22 November 1996)",
GB-number = "104",
ZBmath = "3243720; 3171906",
}
@Article{Birkhoff:1960:SSI,
author = "Garrett Birkhoff and Henry L. Garabedian",
title = "Smooth Surface Interpolation",
journal = j-J-MATH-PHYS-MIT,
volume = "39",
number = "1--4",
pages = "258--268",
month = apr,
year = "1960",
CODEN = "JMPHA9",
DOI = "https://doi.org/10.1002/sapm1960391258",
ISSN = "0097-1421",
ISSN-L = "0097-1421",
MRclass = "65.00",
MRnumber = "119387",
MRreviewer = "A. S. Householder",
bibdate = "Sat Aug 19 13:36:05 MDT 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/birkhoff-garrett.bib;
https://www.math.utah.edu/pub/tex/bib/jmathphysmit.bib",
URL = "https://onlinelibrary.wiley.com/doi/epdf/10.1002/sapm1960391258",
ZMnumber = "0161.12903",
acknowledgement = ack-nhfb,
ajournal = "J. Math. Phys. (MIT)",
author-dates = "Garrett Birkhoff (19 January 1911--22 November 1996)",
fjournal = "Journal of Mathematics and Physics (MIT)",
GB-number = "109",
journal-URL = "http://onlinelibrary.wiley.com/journal/10.1111/(ISSN)1467-9590",
onlinedate = "April 1960",
ZBmath = "3257801",
}
@Article{Birkhoff:1961:CPF,
author = "Garrett Birkhoff",
title = "Calculation of Potential Flows with Free Streamlines",
journal = j-J-HYDRAULICS-DIV,
volume = "87",
number = "6",
pages = "17--22",
month = nov,
year = "1961",
CODEN = "JYCEAJ",
DOI = "https://doi.org/10.1061/JYCEAJ.0000657",
ISSN = "0044-796X",
ISSN-L = "0044-796X",
bibdate = "Wed Nov 01 07:06:47 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/birkhoff-garrett.bib",
URL = "https://ascelibrary.org/doi/10.1061/JYCEAJ.0000657",
acknowledgement = ack-nhfb,
author-dates = "Garrett Birkhoff (19 January 1911--22 November 1996)",
fjournal = "Journal of the Hydraulics Division",
GB-number = "110",
journal-URL = "https://ascelibrary.org/journal/jhend8",
xxjournal = "Proc. Am. Soc. Civ. Eng.",
xxtitle = "Calculation of Potential Flows with Free Boundaries",
}
@InProceedings{Birkhoff:1961:LAM,
author = "Garrett Birkhoff",
booktitle = "{Proceedings of the Symposia on Pure Mathematics, Vol.
II}",
title = "Lattices in applied mathematics",
publisher = pub-AMS,
address = pub-AMS:adr,
pages = "155--184",
year = "1961",
MRclass = "06.99",
MRnumber = "177919",
bibdate = "Sun Oct 22 09:59:52 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/birkhoff-garrett.bib",
ZMnumber = "0101.27201",
acknowledgement = ack-nhfb,
author-dates = "Garrett Birkhoff (19 January 1911--22 November 1996)",
GB-number = "107",
ZBmath = "3165614",
}
@Book{Birkhoff:1961:LT,
author = "Garrett Birkhoff",
title = "Lattice Theory",
volume = "25",
publisher = pub-AMS,
address = pub-AMS:adr,
pages = "xiii + 283",
year = "1961",
MRclass = "06.30 06-02",
MRnumber = "123490",
bibdate = "Sun Oct 22 09:59:52 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/birkhoff-garrett.bib",
note = "Revised ed",
series = "American Mathematical Society Colloquium
Publications",
acknowledgement = ack-nhfb,
author-dates = "Garrett Birkhoff (19 January 1911--22 November 1996)",
ZBmath = "3204690",
}
@InProceedings{Birkhoff:1961:PC,
author = "Garrett Birkhoff",
booktitle = "{Proceedings of the Symposia Applied Pure Mathematics,
Vol. XI}",
title = "Positivity and criticality",
publisher = pub-AMS,
address = pub-AMS:adr,
pages = "116--126",
year = "1961",
MRclass = "82.00",
MRnumber = "120814",
MRreviewer = "A. Peres",
bibdate = "Sun Oct 22 09:59:52 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/birkhoff-garrett.bib",
acknowledgement = ack-nhfb,
author-dates = "Garrett Birkhoff (19 January 1911--22 November 1996)",
GB-number = "106",
}
@InCollection{Birkhoff:1962:ADI,
author = "Garrett Birkhoff and Richard S. Varga and David
Young",
editor = "Franz L. Alt and M. Rubinoff",
booktitle = "Advances in Computers",
title = "Alternating direction implicit methods",
volume = "3",
publisher = pub-ACADEMIC,
address = pub-ACADEMIC:adr,
bookpages = "361",
pages = "189--273",
year = "1962",
DOI = "https://doi.org/10.1016/S0065-2458(08)60620-8",
ISSN = "0065-2458",
ISSN-L = "0065-2458",
MRclass = "65.65",
MRnumber = "168131",
MRreviewer = "J. Douglas, Jr.",
bibdate = "Wed Apr 20 14:10:28 2022",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/birkhoff-garrett.bib;
https://www.math.utah.edu/pub/bibnet/authors/v/varga-richard-steven.bib",
URL = "http://www.math.kent.edu/~varga/pub/paper_20.pdf",
ZMnumber = "0111.31402",
acknowledgement = ack-nhfb,
author-dates = "Garrett Birkhoff (19 January 1911--22 November 1996);
Richard S. Varga (8 October 1928--25 February 2022)",
GB-number = "117",
ZBmath = "3180492",
}
@Article{Birkhoff:1962:CCS,
author = "Garrett Birkhoff and Robert Morris",
title = "Confocal Conics in Space--Time",
journal = j-AMER-MATH-MONTHLY,
volume = "69",
number = "1",
pages = "1--4",
month = jan,
year = "1962",
CODEN = "AMMYAE",
DOI = "https://doi.org/10.2307/2312724",
ISSN = "0002-9890 (print), 1930-0972 (electronic)",
ISSN-L = "0002-9890",
MRclass = "50.48",
MRnumber = "133039",
MRreviewer = "F. {\c{S}}emin",
bibdate = "Sun Oct 29 10:49:01 2023",
bibsource = "http://www.jstor.org/journals/00029890.htm;
https://www.math.utah.edu/pub/bibnet/authors/b/birkhoff-garrett.bib",
ZMnumber = "0103.44401",
acknowledgement = ack-nhfb,
author-dates = "Garrett Birkhoff (19 January 1911--22 November 1996)",
fjournal = "American Mathematical Monthly",
GB-number = "113",
journal-URL = "http://www.jstor.org/journals/00029890.html",
ZBmath = "3169372",
}
@InProceedings{Birkhoff:1962:HTI,
author = "Garrett Birkhoff",
booktitle = "{Proceedings of the Symposia on Applied Mathematics,
Vol. XIII}",
title = "{Helmholtz} and {Taylor} instability",
publisher = pub-AMS,
address = pub-AMS:adr,
pages = "55--76",
year = "1962",
MRclass = "76.99",
MRnumber = "137423",
MRreviewer = "J. W. Miles",
bibdate = "Sun Oct 22 09:59:52 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/birkhoff-garrett.bib",
ZMnumber = "0107.42702",
acknowledgement = ack-nhfb,
author-dates = "Garrett Birkhoff (19 January 1911--22 November 1996)",
GB-number = "115",
ZBmath = "3175931",
}
@Article{Birkhoff:1962:KHT,
author = "Garrett Birkhoff and Joseph {Kamp{\'e} de
F{\'e}riet}",
title = "Kinematics of homogeneous turbulence. {D}. {Metric}
transitivity",
journal = j-J-MATH-MECH,
volume = "11",
number = "3",
pages = "319--340",
year = "1962",
CODEN = "JOMMAN",
DOI = "https://doi.org/10.1512/iumj.1962.11.11021",
ISSN = "0095-9057 (print), 1943-5274 (electronic)",
ISSN-L = "0095-9057",
MRclass = "76.60 76F05",
MRnumber = "149778",
MRreviewer = "J. Bass",
bibdate = "Sun Oct 29 10:49:01 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/birkhoff-garrett.bib",
ZMnumber = "0106.18705",
acknowledgement = ack-nhfb,
ajournal = "J. Math. Mech.",
author-dates = "Garrett Birkhoff (19 January 1911--22 November 1996)",
fjournal = "Journal of Mathematics and Mechanics",
GB-number = "114",
journal-URL = "http://www.iumj.indiana.edu/",
ZBmath = "3173425",
}
@TechReport{Birkhoff:1962:LHC,
author = "Garrett Birkhoff and Robert E. Lynch",
title = "{Lagrangian} Hydrodynamic Computations and Molecular
Models of Matter",
type = "Report",
number = "LA-2618",
institution = "Los Alamos National Laboratory",
address = "Los Alamos, NM, USA",
pages = "iii + 58",
year = "1962",
DOI = "https://doi.org/10.2172/4821933",
bibdate = "Wed Nov 01 07:09:38 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/birkhoff-garrett.bib",
URL = "https://www.osti.gov/servlets/purl/4821933",
abstract = "An analysis is made of the analogy between schemes for
integrating the equations of motion of a compressible
fluid, in Lagrangian coordinates, and molecular models
of matter. Computation schemes involving one and two
independent variables are considered, for flows with
and without shocks",
acknowledgement = ack-nhfb,
author-dates = "Garrett Birkhoff (19 January 1911--22 November 1996)",
GB-number = "111",
remark = "Summarized in Ann. Harvard Comp. Lab. 31 (1962),
23--31",
}
@Article{Birkhoff:1962:NIT,
author = "Garrett Birkhoff",
title = "A new interval topology for dually directed sets:
[homenaje a {A. Terracini} y {F. Cernuschi}]",
journal = "Univ. Nac. Tucum{\'a}n Rev. Ser. A",
volume = "14",
pages = "325--331",
year = "1962",
ISSN = "0080-2360",
MRclass = "54F05 06B30 06.20",
MRnumber = "166120",
MRreviewer = "O. Frink",
bibdate = "Sun Oct 22 09:59:52 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/birkhoff-garrett.bib",
ZMnumber = "0135.22702",
acknowledgement = ack-nhfb,
author-dates = "Garrett Birkhoff (19 January 1911--22 November 1996)",
fjournal = "Universidad Nacional de Tucum{\'a}n. Facultad de
Ciencias Exactas y Tecnolog{\'\i}a. Revista. Serie A.
Matem{\'a}tica y F{\'\i}sica Te{\'o}rica",
GB-number = "118",
ZBmath = "3219507",
}
@Book{Birkhoff:1962:ODE,
author = "Garrett Birkhoff and Gian-Carlo Rota",
title = "Ordinary Differential Equations",
publisher = "Ginn and Company",
address = "Boston, Mass.-New York-Toronto",
pages = "vii + 318",
year = "1962",
MRclass = "34.00",
MRnumber = "138810",
MRreviewer = "N. D. Kazarinoff",
bibdate = "Sun Oct 22 09:59:52 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/birkhoff-garrett.bib",
series = "Introductions to Higher Mathematics",
ZMnumber = "0102.29901",
acknowledgement = ack-nhfb,
author-dates = "Garrett Birkhoff (19 January 1911--22 November 1996)",
ZBmath = "3167285",
}
@Article{Birkhoff:1962:SMH,
author = "G. Birkhoff and R. E. Lynch",
title = "Synthetic materials for hydrodynamical computations",
journal = "Annals of Harvard University",
volume = "31",
pages = "23--31",
year = "1962",
bibdate = "Sun Oct 29 10:49:01 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/birkhoff-garrett.bib",
ZMnumber = "0151.40504",
acknowledgement = ack-nhfb,
author-dates = "Garrett Birkhoff (19 January 1911--22 November 1996)",
ZBmath = "3243536",
}
@Article{Birkhoff:1962:USP,
author = "Garrett Birkhoff",
title = "Uniformly semi-primitive multiplicative processes",
journal = j-TRANS-AM-MATH-SOC,
volume = "104",
number = "1",
pages = "37--51",
month = jul,
year = "1962",
CODEN = "TAMTAM",
DOI = "https://doi.org/10.2307/1993931",
ISSN = "0002-9947 (print), 1088-6850 (electronic)",
ISSN-L = "0002-9947",
MRclass = "06.80",
MRnumber = "146100",
MRreviewer = "A. C. Choudhury",
bibdate = "Sun Oct 29 10:49:01 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/birkhoff-garrett.bib",
ZMnumber = "0101.33304",
acknowledgement = ack-nhfb,
author-dates = "Garrett Birkhoff (19 January 1911--22 November 1996)",
fjournal = "Transactions of the American Mathematical Society",
GB-number = "116",
journal-URL = "http://www.ams.org/journals/tran/",
ZBmath = "3165794",
}
@Article{Birkhoff:1963:BCM,
author = "Garrett Birkhoff and Jerome Eckerman",
title = "Binary collision modeling",
journal = j-J-MATH-MECH,
volume = "12",
number = "4",
pages = "543--556",
year = "1963",
CODEN = "JOMMAN",
DOI = "https://doi.org/10.1512/iumj.1963.12.12034",
ISSN = "0095-9057 (print), 1943-5274 (electronic)",
ISSN-L = "0095-9057",
MRclass = "76.99",
MRnumber = "152234",
MRreviewer = "K. Stewartson",
bibdate = "Sun Oct 22 09:59:52 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/birkhoff-garrett.bib",
acknowledgement = ack-nhfb,
ajournal = "J. Math. Mech.",
author-dates = "Garrett Birkhoff (19 January 1911--22 November 1996)",
fjournal = "Journal of Mathematics and Mechanics",
GB-number = "120",
journal-URL = "http://www.iumj.indiana.edu/",
}
@Article{Birkhoff:1963:FBP,
author = "Garrett Birkhoff and Donald F. Hays",
title = "Free Boundaries in Partial Lubrication",
journal = j-J-MATH-PHYS-MIT,
volume = "42",
number = "1--4",
pages = "126--138",
month = apr,
year = "1963",
CODEN = "JMPHA9",
DOI = "https://doi.org/10.1002/sapm1963421126",
ISSN = "0097-1421",
ISSN-L = "0097-1421",
MRclass = "76.99",
MRnumber = "153199",
MRreviewer = "K. Stewartson",
bibdate = "Sun Oct 29 10:49:01 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/birkhoff-garrett.bib;
https://www.math.utah.edu/pub/tex/bib/jmathphysmit.bib",
URL = "https://onlinelibrary.wiley.com/doi/epdf/10.1002/sapm1963421126",
ZMnumber = "0124.43405",
acknowledgement = ack-nhfb,
ajournal = "J. Math. Phys. (MIT)",
author-dates = "Garrett Birkhoff (19 January 1911--22 November 1996)",
fjournal = "Journal of Mathematics and Physics (MIT)",
GB-number = "121",
journal-URL = "http://onlinelibrary.wiley.com/journal/10.1111/(ISSN)1467-9590",
onlinedate = "April 1963",
ZBmath = "3202358",
}
@Book{Birkhoff:1963:HSL,
author = "G. Birkhoff",
title = "Hydrodynamics. {A} study in logic, fact and
similitude",
publisher = "{Verlag f{\"u}r ausl{\"a}ndische Literatur}",
address = "Moskau, USSR",
pages = "244",
year = "1963",
bibdate = "Sun Oct 29 10:49:01 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/birkhoff-garrett.bib",
ZMnumber = "0114.17804",
acknowledgement = ack-nhfb,
author-dates = "Garrett Birkhoff (19 January 1911--22 November 1996)",
language = "Russian",
ZBmath = "3185647",
}
@InCollection{Birkhoff:1963:LOD,
author = "G. Birkhoff",
booktitle = "Alg{\`e}bre Th{\'e}orie Nombres, Sem. P. Dubreil,
M.-L. Dubreil-Jacotin et C. Pisot 14 (1960/61)",
title = "Lattice-ordered demigroups",
publisher = "????",
address = "????",
pages = "26",
year = "1963",
bibdate = "Sun Oct 29 10:49:01 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/birkhoff-garrett.bib",
ZMnumber = "0122.02101",
acknowledgement = ack-nhfb,
author-dates = "Garrett Birkhoff (19 January 1911--22 November 1996)",
GB-number = "112",
ZBmath = "3197146",
}
@Article{Birkhoff:1963:RCN,
author = "Garrett Birkhoff",
title = "Reactor criticality in neutron transport theory",
journal = "Rendiconti di Matematica e delle sue Applicazioni.
Serie V",
volume = "22",
pages = "102--126",
year = "1963",
ISSN = "1120-7175",
MRclass = "82.47",
MRnumber = "169648",
MRreviewer = "R. S. Varga",
bibdate = "Sun Oct 29 10:49:01 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/birkhoff-garrett.bib",
ZMnumber = "0178.50305",
acknowledgement = ack-nhfb,
ajournal = "Rend. Mat. e Appl. (5)",
ajournal-2 = "Rend. Mat. Appl., V. Ser.",
author-dates = "Garrett Birkhoff (19 January 1911--22 November 1996)",
fjournal = "Rendiconti di Matematica e delle sue Applicazioni.
Serie V",
GB-number = "119",
xxISSN = "0034-4427",
ZBmath = "3285743",
}
@Article{Birkhoff:1963:VPN,
author = "Garrett Birkhoff",
title = "A variational principle for nonlinear networks",
journal = j-QUART-APPL-MATH,
volume = "21",
number = "2",
pages = "160--162",
month = jul,
year = "1963",
CODEN = "QAMAAY",
DOI = "https://doi.org/10.1090/qam/156706",
ISSN = "0033-569X (print), 1552-4485 (electronic)",
ISSN-L = "0033-569X",
MRclass = "94.30",
MRnumber = "156706",
MRreviewer = "T. L. Saaty",
bibdate = "Sun Oct 22 09:59:52 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/birkhoff-garrett.bib",
acknowledgement = ack-nhfb,
author-dates = "Garrett Birkhoff (19 January 1911--22 November 1996)",
fjournal = "Quarterly of Applied Mathematics",
GB-number = "122",
journal-URL = "http://dl.acm.org/citation.cfm?id=J641;
http://www.ams.org/journals/qam",
xxpages = "159--162",
}
@Book{Birkgof:1964:CSS,
author = "G. Birkgof and {\`E}. Sarantonello",
title = "{{\cyr Strui, sledy i kaverny}}. ({Russian}) [Jets,
wakes and cavities]",
publisher = "Izdat. ``Mir''",
address = "Moscow, USSR",
pages = "466",
year = "1964",
MRclass = "76.49",
MRnumber = "177579",
bibdate = "Sun Oct 22 09:59:52 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/birkhoff-garrett.bib",
ZMnumber = "0124.18803",
acknowledgement = ack-nhfb,
author-dates = "Garrett Birkhoff (19 January 1911--22 November 1996)",
language = "Russian",
xxauthor = "G. Birkhoff and E. H. Zarantonello",
ZBmath = "3201379",
}
@Article{Birkhoff:1964:ACL,
author = "Garrett Birkhoff",
title = "Averaged conservation laws in pipes",
journal = j-J-MATH-ANAL-APPL,
volume = "8",
number = "1",
pages = "66--77",
month = feb,
year = "1964",
CODEN = "JMANAK",
DOI = "https://doi.org/10.1016/0022-247X(64)90084-8",
ISSN = "0022-247x (print), 1096-0813 (electronic)",
ISSN-L = "0022-247X",
MRclass = "76.35",
MRnumber = "158609",
MRreviewer = "S. I. Pai",
bibdate = "Sun Oct 29 10:49:01 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/birkhoff-garrett.bib",
ZMnumber = "0126.41801",
acknowledgement = ack-nhfb,
author-dates = "Garrett Birkhoff (19 January 1911--22 November 1996)",
fjournal = "Journal of Mathematical Analysis and Applications",
GB-number = "123",
journal-URL = "http://www.sciencedirect.com/science/journal/0022247X",
ZBmath = "3206031",
}
@Article{Birkhoff:1964:BRD,
author = "Garrett Birkhoff",
title = "Book Review: {{\booktitle{Differential--difference
equations}}. By Richard Bellman. Academic Press, New
York, London, 1963. xvi + 462 pp.}",
journal = j-QUART-APPL-MATH,
volume = "22",
number = "2",
pages = "164--165",
month = jul,
year = "1964",
CODEN = "QAMAAY",
ISSN = "0033-569x (print), 1552-4485 (electronic)",
ISSN-L = "0033-569X",
MRclass = "94C05 49J40",
bibdate = "Sun Oct 29 10:49:01 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/birkhoff-garrett.bib",
ZMnumber = "0222.94028",
acknowledgement = ack-nhfb,
author-dates = "Garrett Birkhoff (19 January 1911--22 November 1996)",
fjournal = "Quarterly of Applied Mathematics",
journal-URL = "http://dl.acm.org/citation.cfm?id=J641;
http://www.ams.org/journals/qam",
xxtitle = "A variational principle for nonlinear networks",
ZBmath = "3353156",
}
@Article{Birkhoff:1964:EBS,
author = "Garrett Birkhoff and Carl de Boor",
title = "Error bounds for spline interpolation",
journal = j-J-MATH-MECH,
volume = "13",
number = "5",
pages = "827--835",
year = "1964",
CODEN = "JOMMAN",
DOI = "https://doi.org/10.1512/iumj.1964.13.13048",
ISSN = "0095-9057 (print), 1943-5274 (electronic)",
ISSN-L = "0095-9057",
MRclass = "41.15",
MRnumber = "165294",
MRreviewer = "I. J. Schoenberg",
bibdate = "Sun Oct 29 10:49:01 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/birkhoff-garrett.bib",
ZMnumber = "0143.28503",
acknowledgement = ack-nhfb,
ajournal = "J. Math. Mech.",
author-dates = "Garrett Birkhoff (19 January 1911--22 November 1996)",
fjournal = "Journal of Mathematics and Mechanics",
GB-number = "126",
journal-URL = "http://www.iumj.indiana.edu/",
ZBmath = "3231189",
}
@InProceedings{Birkhoff:1964:FBP,
author = "Garrett Birkhoff",
editor = "R. M. Davies",
booktitle = "{Cavitation in Real Liquids (Proceedings of a
Symposium, General Motors Research Laboratory, Warren,
Mich., 1962)}",
title = "Free boundary problems for viscous flows in channels",
publisher = pub-ELSEVIER,
address = pub-ELSEVIER:adr,
pages = "102--121",
year = "1964",
MRclass = "76.35",
MRnumber = "183204",
MRreviewer = "W. Langlois",
bibdate = "Sun Oct 22 09:59:52 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/birkhoff-garrett.bib",
acknowledgement = ack-nhfb,
author-dates = "Garrett Birkhoff (19 January 1911--22 November 1996)",
GB-number = "125",
}
@Book{Birkhoff:1964:HIT,
author = "Garrett Birkhoff and Richard Bellman and C. C. Lin",
title = "Hydrodynamic instability",
publisher = "{Verlag 'Mir'}",
address = "Moskau, USSR",
pages = "372",
year = "1964",
bibdate = "Sun Oct 29 10:49:01 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/birkhoff-garrett.bib",
note = "Translation from the English by A. S. Monin.",
ZMnumber = "0119.20502",
acknowledgement = ack-nhfb,
author-dates = "Garrett Birkhoff (19 January 1911--22 November 1996)",
language = "Russian",
ZBmath = "3194377",
}
@Article{Birkhoff:1964:WSC,
author = "Garrett Birkhoff",
title = "Well-set {Cauchy} problems and {$ C_0 $}-semigroups",
journal = j-J-MATH-ANAL-APPL,
volume = "8",
number = "2",
pages = "303--324",
month = apr,
year = "1964",
CODEN = "JMANAK",
DOI = "https://doi.org/10.1016/0022-247X(64)90071-X",
ISSN = "0022-247x (print), 1096-0813 (electronic)",
ISSN-L = "0022-247X",
MRclass = "35.31",
MRnumber = "159125",
MRreviewer = "R. Carroll",
bibdate = "Sun Oct 29 10:49:01 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/birkhoff-garrett.bib",
ZMnumber = "0168.35303",
acknowledgement = ack-nhfb,
author-dates = "Garrett Birkhoff (19 January 1911--22 November 1996)",
fjournal = "Journal of Mathematical Analysis and Applications",
GB-number = "124",
journal-URL = "http://www.sciencedirect.com/science/journal/0022247X",
ZBmath = "3270174",
}
@Book{Birkhoff:1965:BSM,
author = "Garrett Birkhoff and Saunders {Mac Lane}",
title = "A Brief Survey of Modern Algebra",
publisher = pub-MACMILLAN,
address = pub-MACMILLAN:adr,
edition = "Second",
pages = "vii + 279",
year = "1965",
LCCN = "QA251 .B5 1965",
MRclass = "00.00 (20.00)",
MRnumber = "180595",
bibdate = "Sun Oct 22 09:59:52 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/birkhoff-garrett.bib",
acknowledgement = ack-nhfb,
author-dates = "Garrett Birkhoff (19 January 1911--22 November 1996);
Saunders Mac Lane (1909--2005)",
}
@Article{Birkhoff:1965:DEW,
author = "Garrett Birkhoff and Richard S. Varga",
title = "Discretization Errors for Well-Set {Cauchy} Problems.
{I}",
journal = j-J-MATH-PHYS-MIT,
volume = "44",
number = "1--4",
pages = "1--23",
month = apr,
year = "1965",
CODEN = "JMPHA9",
DOI = "https://doi.org/10.1002/sapm19654411",
ISSN = "0097-1421",
ISSN-L = "0097-1421",
MRclass = "65.65",
MRnumber = "179952",
MRreviewer = "M. Lees",
bibdate = "Sun Oct 29 10:49:01 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/birkhoff-garrett.bib;
https://www.math.utah.edu/pub/bibnet/authors/v/varga-richard-steven.bib;
https://www.math.utah.edu/pub/tex/bib/jmathphysmit.bib",
URL = "http://www.math.kent.edu/~varga/pub/paper_28.pdf;
https://onlinelibrary.wiley.com/doi/epdf/10.1002/sapm19654411",
ZMnumber = "0134.13406",
acknowledgement = ack-nhfb,
ajournal = "J. Math. Phys. (MIT)",
author-dates = "Garrett Birkhoff (19 January 1911--22 November 1996);
Richard S. Varga (8 October 1928--25 February 2022)",
fjournal = "Journal of Mathematics and Physics (MIT)",
GB-number = "128",
journal-URL = "http://onlinelibrary.wiley.com/journal/10.1111/(ISSN)1467-9590",
onlinedate = "April 1965",
ZBmath = "3217412",
}
@Article{Birkhoff:1965:EPS,
author = "Garrett Birkhoff and Leon Kotin",
title = "Essentially positive systems of linear differential
equations",
journal = j-BULL-AMS,
volume = "71",
number = "4",
pages = "771--772",
month = jul,
year = "1965",
CODEN = "BAMOAD",
DOI = "https://doi.org/10.1090/S0002-9904-1965-11386-6",
ISSN = "0002-9904 (print), 1936-881x (electronic)",
ISSN-L = "0002-9904",
MRclass = "34.20",
MRnumber = "179414",
MRreviewer = "G. R. Sell",
bibdate = "Sun Oct 29 10:49:01 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/birkhoff-garrett.bib",
ZMnumber = "0132.31203",
acknowledgement = ack-nhfb,
author-dates = "Garrett Birkhoff (19 January 1911--22 November 1996)",
fjournal = "Bulletin of the American Mathematical Society",
GB-number = "132",
journal-URL = "http://www.ams.org/journals/bull/all_issues.html",
ZBmath = "3214778",
}
@Article{Birkhoff:1965:NPL,
author = "Garrett Birkhoff",
title = "Note on positive linear operators",
journal = j-PROC-AM-MATH-SOC,
volume = "16",
pages = "14--16",
year = "1965",
CODEN = "PAMYAR",
DOI = "https://doi.org/10.2307/2033991",
ISSN = "0002-9939 (print), 1088-6826 (electronic)",
ISSN-L = "0002-9939",
MRclass = "47.20",
MRnumber = "172097",
MRreviewer = "R. Cristescu",
bibdate = "Sun Oct 29 10:49:01 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/birkhoff-garrett.bib",
ZMnumber = "0136.11702",
acknowledgement = ack-nhfb,
author-dates = "Garrett Birkhoff (19 January 1911--22 November 1996)",
fjournal = "Proceedings of the American Mathematical Society",
GB-number = "127",
journal-URL = "http://www.ams.org/journals/proc",
ZBmath = "3220722",
}
@InProceedings{Birkhoff:1965:PDM,
author = "Garrett Birkhoff",
booktitle = "{Proceedings of the IBM Scientific Computing Symposium
on Large-Scale Problems in Physics (Yorktown Heights,
NY, 1963)}",
title = "Partial difference methods",
publisher = "IBM",
address = "White Plains, NY, USA",
pages = "17--36",
year = "1965",
MRclass = "65.66",
MRnumber = "251926",
bibdate = "Sun Oct 22 09:59:52 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/birkhoff-garrett.bib",
acknowledgement = ack-nhfb,
author-dates = "Garrett Birkhoff (19 January 1911--22 November 1996)",
GB-number = "133",
}
@InProceedings{Birkhoff:1965:PPI,
author = "Garrett Birkhoff and Carl R. de Boor",
title = "Piecewise polynomial interpolation and approximation",
crossref = "Garabedian:1965:AFP",
pages = "164--190",
year = "1965",
MRclass = "65.20",
MRnumber = "189219",
MRreviewer = "R. A. Valentin",
bibdate = "Sun Oct 22 09:59:52 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/birkhoff-garrett.bib",
ZMnumber = "0136.04703",
acknowledgement = ack-nhfb,
author-dates = "Garrett Birkhoff (19 January 1911--22 November 1996)",
GB-number = "130",
xxtitle = "Piecewise Polynomial Surface Fitting",
ZBmath = "3220498",
}
@Book{Birkhoff:1965:SMA,
author = "Garrett Birkhoff and Saunders {Mac Lane}",
title = "A Survey of Modern Algebra",
publisher = pub-MACMILLAN,
address = pub-MACMILLAN:adr,
edition = "Third",
pages = "x + 437",
year = "1965",
MRclass = "00.00 (12.00)",
MRnumber = "177992",
bibdate = "Sun Oct 22 09:59:52 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/birkhoff-garrett.bib",
acknowledgement = ack-nhfb,
author-dates = "Garrett Birkhoff (19 January 1911--22 November 1996);
Saunders Mac Lane (1909--2005)",
}
@Article{Birkhoff:1965:USP,
author = "Garrett Birkhoff",
title = "Uniformly semi-primitive multiplicative processes.
{II}",
journal = j-J-MATH-MECH,
volume = "14",
number = "3",
pages = "507--512",
year = "1965",
CODEN = "JOMMAN",
DOI = "https://doi.org/10.1512/iumj.1965.14.14034",
ISSN = "0095-9057 (print), 1943-5274 (electronic)",
ISSN-L = "0095-9057",
MRclass = "06.80 46-XX",
MRnumber = "180509",
MRreviewer = "A. C. Choudhury",
bibdate = "Sun Oct 29 10:49:01 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/birkhoff-garrett.bib",
ZMnumber = "0131.33401",
acknowledgement = ack-nhfb,
ajournal = "J. Math. Mech.",
author-dates = "Garrett Birkhoff (19 January 1911--22 November 1996)",
fjournal = "Journal of Mathematics and Mechanics",
GB-number = "131",
journal-URL = "http://www.iumj.indiana.edu/",
ZBmath = "3213151",
}
@Article{Birkhoff:1965:WLP,
author = "G. Birkhoff",
title = "The {William Lowell Putnam Mathematical Competition}:
Early History",
journal = j-AMER-MATH-MONTHLY,
volume = "72",
number = "5",
pages = "469--473",
month = may,
year = "1965",
CODEN = "AMMYAE",
ISSN = "0002-9890 (print), 1930-0972 (electronic)",
ISSN-L = "0002-9890",
bibdate = "Mon Jun 28 12:37:53 MDT 1999",
bibsource = "http://www.jstor.org/journals/00029890.htm;
https://www.math.utah.edu/pub/bibnet/authors/b/birkhoff-garrett.bib",
URL = "http://www.jstor.org/stable/2314116",
acknowledgement = ack-nhfb,
author-dates = "Garrett Birkhoff (19 January 1911--22 November 1996)",
fjournal = "American Mathematical Monthly",
GB-number = "129",
journal-URL = "http://www.jstor.org/journals/00029890.html",
}
@Article{Birkhoff:1966:ABS,
author = "Garrett Birkhoff and Leon Kotin",
title = "Asymptotic behavior of solutions of first-order linear
differential-delay equations",
journal = j-J-MATH-ANAL-APPL,
volume = "13",
number = "1",
pages = "8--18",
month = jan,
year = "1966",
CODEN = "JMANAK",
DOI = "https://doi.org/10.1016/0022-247X(66)90072-2",
ISSN = "0022-247x (print), 1096-0813 (electronic)",
ISSN-L = "0022-247X",
MRclass = "34.75 (34.50)",
MRnumber = "190488",
MRreviewer = "Kenneth R. Meyer",
bibdate = "Sun Oct 29 10:49:01 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/birkhoff-garrett.bib",
ZMnumber = "0134.30202",
acknowledgement = ack-nhfb,
author-dates = "Garrett Birkhoff (19 January 1911--22 November 1996)",
fjournal = "Journal of Mathematical Analysis and Applications",
GB-number = "135",
journal-URL = "http://www.sciencedirect.com/science/journal/0022247X",
ZBmath = "3218065",
}
@Article{Birkhoff:1966:IDD,
author = "Garrett Birkhoff and Leon Kotin",
title = "Integro-differential delay equations of positive
type",
journal = j-J-DIFFER-EQU,
volume = "2",
pages = "320--327",
year = "1966",
CODEN = "JDEQAK",
DOI = "https://doi.org/10.1016/0022-0396(66)90072-6",
ISSN = "0022-0396 (print), 1090-2732 (electronic)",
ISSN-L = "0022-0396",
MRclass = "45.40",
MRnumber = "198169",
MRreviewer = "W. T. Reid",
bibdate = "Sun Oct 29 10:49:01 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/birkhoff-garrett.bib",
ZMnumber = "0152.11802",
acknowledgement = ack-nhfb,
author-dates = "Garrett Birkhoff (19 January 1911--22 November 1996)",
fjournal = "Journal of Differential Equations",
GB-number = "138",
journal-URL = "https://www.sciencedirect.com/journal/journal-of-differential-equations/issues",
ZBmath = "3244166",
}
@InProceedings{Birkhoff:1966:NSR,
author = "Garrett Birkhoff",
editor = "Donald Greenspan",
booktitle = "Numerical Solutions of Nonlinear Differential
Equations: Proceedings of an advanced symposium
conducted by the {Mathematics Research Center, United
States Army, at the University of Wisconsin, Madison,
May 9--11, 1966}",
title = "Numerical Solution of the Reactor Kinetics Equations",
publisher = pub-WILEY,
address = pub-WILEY:adr,
bookpages = "x + 347",
pages = "3--20",
year = "1966",
LCCN = "QA3 .U45 no. 17",
MRclass = "82.00 (65.00)",
MRnumber = "213131",
MRreviewer = "R. R. Coveyou",
bibdate = "Sun Oct 22 09:59:52 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/birkhoff-garrett.bib",
ZMnumber = "0202.45402",
acknowledgement = ack-nhfb,
author-dates = "Garrett Birkhoff (19 January 1911--22 November 1996)",
GB-number = "139",
remark = "See book review \cite{G:1968:BRD}",
ZBmath = "3321663",
}
@InProceedings{Birkhoff:1966:NST,
author = "Garrett Birkhoff and Robert E. Lynch",
booktitle = "Numerical Solution of Partial Differential Equations
{(Proceedings of a Symposium University of Maryland,
1965)}",
title = "Numerical solution of the telegraph and related
equations",
publisher = pub-ACADEMIC,
address = pub-ACADEMIC:adr,
pages = "289--315",
year = "1966",
MRclass = "65.67",
MRnumber = "203953",
MRreviewer = "W. F. Ames",
bibdate = "Sun Oct 22 09:59:52 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/birkhoff-garrett.bib",
ZMnumber = "0202.45703",
acknowledgement = ack-nhfb,
author-dates = "Garrett Birkhoff (19 January 1911--22 November 1996)",
GB-number = "136",
}
@Article{Birkhoff:1966:RRA,
author = "Garrett Birkhoff and C. de Boor and B. Swartz and B.
Wendroff",
title = "{Rayleigh--Ritz} Approximation by Piecewise Cubic
Polynomials",
journal = j-SIAM-J-NUMER-ANAL,
volume = "3",
number = "2",
pages = "188--203",
month = jun,
year = "1966",
CODEN = "SJNAAM",
DOI = "https://doi.org/10.1137/0703015",
ISSN = "0036-1429 (print), 1095-7170 (electronic)",
ISSN-L = "0036-1429",
MRclass = "65.40",
MRnumber = "203926",
MRreviewer = "C. W. Clenshaw",
bibdate = "Sun Oct 29 10:49:01 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/birkhoff-garrett.bib;
https://www.math.utah.edu/pub/tex/bib/siamjnumeranal.bib;
JSTOR database",
ZMnumber = "0143.38002",
acknowledgement = ack-nhfb,
author-dates = "Garrett Birkhoff (19 January 1911--22 November 1996)",
fjournal = "SIAM Journal on Numerical Analysis",
GB-number = "137",
journal-URL = "http://epubs.siam.org/sinum",
ZBmath = "3231517",
}
@InProceedings{Birkhoff:1966:SEE,
author = "Garrett Birkhoff and Bruce Kellogg",
booktitle = "{Proceedings of the Symposium on Generalized Networks
(New York, 1966)}",
title = "Solution of equilibrium equations in thermal
networks",
volume = "XVI",
publisher = "Brooklyn Polytechnic",
address = "Brooklyn, NY, USA",
pages = "443--452",
year = "1966",
MRclass = "65-XX 80A20 94.30",
MRnumber = "282739",
MRreviewer = "M. Ma\v{n}as",
bibdate = "Sun Oct 22 09:59:52 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/birkhoff-garrett.bib",
series = "Microwave Research Institute Symposia Series",
ZMnumber = "0183.44803",
acknowledgement = ack-nhfb,
author-dates = "Garrett Birkhoff (19 January 1911--22 November 1996)",
GB-number = "140",
xxtitle = "Equilibrium Equations in Thermal Networks",
ZBmath = "3292380",
}
@Article{Birkhoff:1966:TTH,
author = "Garrett Birkhoff and J. Eckerman and W. McKay",
title = "Transition and Turbulence in Hypersonic Wakes",
journal = j-PHYS-FLUIDS,
volume = "9",
number = "3",
pages = "446--452",
month = mar,
year = "1966",
CODEN = "PHFLE6",
DOI = "https://doi.org/10.1063/1.1761696",
ISSN = "1070-6631",
ISSN-L = "1070-6631",
bibdate = "Wed Nov 01 07:31:16 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/birkhoff-garrett.bib",
URL = "https://pubs.aip.org/aip/pfl/article-pdf/12481629/446_1_online.pdf",
acknowledgement = ack-nhfb,
author-dates = "Garrett Birkhoff (19 January 1911--22 November 1996)",
fjournal = "The Physics of Fluids",
GB-number = "134",
journal-URL = "http://scitation.aip.org/content/aip/journal/pof1",
}
@Article{Birkhoff:1967:HIE,
author = "Garrett Birkhoff and Arthur S. Priver",
title = "{Hermite} Interpolation Errors for Derivatives",
journal = j-J-MATH-PHYS-MIT,
volume = "46",
number = "1--4",
pages = "440--447",
month = apr,
year = "1967",
CODEN = "JMPHA9",
DOI = "https://doi.org/10.1002/sapm1967461440",
ISSN = "0097-1421",
ISSN-L = "0097-1421",
MRclass = "41.10",
MRnumber = "218799",
MRreviewer = "R. A. Askey",
bibdate = "Sun Oct 29 10:49:01 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/birkhoff-garrett.bib;
https://www.math.utah.edu/pub/tex/bib/jmathphysmit.bib",
URL = "https://onlinelibrary.wiley.com/doi/epdf/10.1002/sapm1967461440",
ZMnumber = "0176.14202",
acknowledgement = ack-nhfb,
ajournal = "J. Math. Phys. (MIT)",
author-dates = "Garrett Birkhoff (19 January 1911--22 November 1996)",
fjournal = "Journal of Mathematics and Physics (MIT)",
GB-number = "145",
journal-URL = "http://onlinelibrary.wiley.com/journal/10.1111/(ISSN)1467-9590",
onlinedate = "April 1967",
ZBmath = "3281249",
}
@Article{Birkhoff:1967:LFA,
author = "Garrett Birkhoff",
title = "A limitation of {Fourier} analysis",
journal = j-J-MATH-MECH,
volume = "17",
number = "5",
pages = "443--447",
year = "1967",
CODEN = "JOMMAN",
DOI = "https://doi.org/10.1512/iumj.1968.17.17025",
ISSN = "0095-9057 (print), 1943-5274 (electronic)",
ISSN-L = "0095-9057",
MRclass = "60.20 (82.00)",
MRnumber = "217834",
MRreviewer = "J.-P. Kahane",
bibdate = "Sun Oct 29 10:49:01 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/birkhoff-garrett.bib",
ZMnumber = "0201.44202",
acknowledgement = ack-nhfb,
ajournal = "J. Math. Mech.",
author-dates = "Garrett Birkhoff (19 January 1911--22 November 1996)",
fjournal = "Journal of Mathematics and Mechanics",
GB-number = "144",
journal-URL = "http://www.iumj.indiana.edu/",
ZBmath = "3319811",
}
@Article{Birkhoff:1967:LSA,
author = "Garrett Birkhoff",
title = "Local spline approximation by moments",
journal = j-J-MATH-MECH,
volume = "16",
number = "9",
pages = "987--990",
year = "1967",
CODEN = "JOMMAN",
DOI = "https://doi.org/10.1512/iumj.1967.16.16064",
ISSN = "0095-9057 (print), 1943-5274 (electronic)",
ISSN-L = "0095-9057",
MRclass = "41.17",
MRnumber = "208241",
MRreviewer = "J. R. Rice",
bibdate = "Sun Oct 22 09:59:52 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/birkhoff-garrett.bib",
ZMnumber = "0148.29204",
acknowledgement = ack-nhfb,
ajournal = "J. Math. Mech.",
author-dates = "Garrett Birkhoff (19 January 1911--22 November 1996)",
fjournal = "Journal of Mathematics and Mechanics",
GB-number = "142",
journal-URL = "http://www.iumj.indiana.edu/",
ZBmath = "3239696",
}
@Article{Birkhoff:1967:LSOa,
author = "Garrett Birkhoff and Leon Kotin",
title = "Linear second-order differential equations of positive
type",
journal = j-J-ANAL-MATH,
volume = "18",
pages = "43--52",
year = "1967",
CODEN = "JOAMAV",
DOI = "https://doi.org/10.1007/BF02798033",
ISSN = "0021-7670 (print), 1565-8538 (electronic)",
ISSN-L = "0021-7670",
MRclass = "34.20",
MRnumber = "212247",
MRreviewer = "C. Olech",
bibdate = "Sun Oct 22 09:59:52 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/birkhoff-garrett.bib",
ZMnumber = "0148.05904",
acknowledgement = ack-nhfb,
author-dates = "Garrett Birkhoff (19 January 1911--22 November 1996)",
fjournal = "Journal d'Analyse Math{\'e}matique",
GB-number = "141",
journal-URL = "http://link.springer.com/journal/11854",
ZBmath = "3238810",
}
@Book{Birkhoff:1967:LT,
author = "Garrett Birkhoff",
title = "Lattice Theory",
volume = "25",
publisher = pub-AMS,
address = pub-AMS:adr,
edition = "Third",
pages = "vi + 418",
year = "1967",
ISSN = "0065-9258",
MRclass = "06-02 06.30",
MRnumber = "227053",
MRreviewer = "P. A. Fillmore",
bibdate = "Sun Oct 29 10:49:01 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/birkhoff-garrett.bib",
series = "American Mathematical Society Colloquium
Publications",
ZMnumber = "0153.02501",
acknowledgement = ack-nhfb,
author-dates = "Garrett Birkhoff (19 January 1911--22 November 1996)",
fseries = "Colloquium Publications. American Mathematical
Society",
tableofcontents = "Types of lattices \\
Postulates for lattices \\
Structure and representation theory \\
Geometric lattices \\
Complete lattices \\
Universal algebra \\
Applications to algebra \\
Transfinite induction \\
Applications to general topology \\
Metric and topological lattices \\
Borel algebras and von Neumann lattices \\
Applications to logic and probability \\
Lattice-ordered groups \\
Lattice-ordered monoids \\
Vector lattices \\
Positive linear operators \\
Lattice-ordered rings",
ZBmath = "3245483",
}
@Article{Birkhoff:1967:LTI,
author = "Garrett Birkhoff",
title = "Linear transformations with invariant cones",
journal = j-AMER-MATH-MONTHLY,
volume = "74",
number = "3",
pages = "274--276",
month = mar,
year = "1967",
CODEN = "AMMYAE",
DOI = "https://doi.org/10.2307/2316020",
ISSN = "0002-9890 (print), 1930-0972 (electronic)",
ISSN-L = "0002-9890",
MRclass = "15.25",
MRnumber = "214605",
MRreviewer = "A. Jaeger",
bibdate = "Mon Jun 28 12:38:34 MDT 1999",
bibsource = "http://www.jstor.org/journals/00029890.htm;
https://www.math.utah.edu/pub/bibnet/authors/b/birkhoff-garrett.bib",
ZMnumber = "0192.26703",
acknowledgement = ack-nhfb,
author-dates = "Garrett Birkhoff (19 January 1911--22 November 1996)",
fjournal = "American Mathematical Monthly",
GB-number = "143",
journal-URL = "http://www.jstor.org/journals/00029890.html",
xxtitle = "Mathematical Notes: Linear Transformations with
Invariant Cones",
ZBmath = "3305613",
}
@Article{Birkhoff:1967:RRA,
author = "Garrett Birkhoff and George Fix",
title = "{Rayleigh--Ritz} approximation by trigonometric
polynomials",
journal = j-INDIAN-J-MATH,
volume = "9",
pages = "269--277",
year = "1967",
CODEN = "IJOMAL",
ISSN = "0019-5324",
MRclass = "65.62",
MRnumber = "261794",
MRreviewer = "L. Hageman",
bibdate = "Sun Oct 29 10:49:01 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/birkhoff-garrett.bib",
ZMnumber = "0187.11202",
acknowledgement = ack-nhfb,
author-dates = "Garrett Birkhoff (19 January 1911--22 November 1996)",
fjournal = "Indian Journal of Mathematics",
GB-number = "152",
journal-URL = "http://www.amsallahabad.org/ijm.html",
ZBmath = "3298266",
}
@Book{MacLane:1967:A,
author = "Saunders {Mac Lane} and Garrett Birkhoff",
title = "Algebra",
publisher = pub-MACMILLAN,
address = pub-MACMILLAN:adr,
pages = "xix + 598",
year = "1967",
MRclass = "00.00",
MRnumber = "214415",
MRreviewer = "C. W. Curtis",
bibdate = "Sun Oct 22 09:59:52 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/birkhoff-garrett.bib",
ZMnumber = "0153.32401",
acknowledgement = ack-nhfb,
author-dates = "Garrett Birkhoff (19 January 1911--22 November 1996);
Saunders Mac Lane (1909--2005)",
ZBmath = "3246263",
}
@Article{Birkhoff:1968:DRE,
author = "Garrett Birkhoff and William J. Gordon",
title = "The Draftsman's and related equations",
journal = j-J-APPROX-THEORY,
volume = "1",
pages = "199--208",
year = "1968",
CODEN = "JAXTAZ",
DOI = "https://doi.org/10.1016/0021-9045(68)90024-5",
ISSN = "0021-9045 (print), 1096-0430 (electronic)",
ISSN-L = "0021-9045",
MRclass = "65.67",
MRnumber = "235752",
MRreviewer = "J. W. Schmidt",
bibdate = "Sun Oct 29 10:49:01 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/birkhoff-garrett.bib",
ZMnumber = "0189.40902",
acknowledgement = ack-nhfb,
author-dates = "Garrett Birkhoff (19 January 1911--22 November 1996)",
fjournal = "Journal of Approximation Theory",
GB-number = "147",
journal-URL = "http://www.sciencedirect.com/science/journal/00219045",
ZBmath = "3302624",
}
@Article{Birkhoff:1968:PHI,
author = "G. Birkhoff and M. H. Schultz and R. S. Varga",
title = "Piecewise {Hermite} interpolation in one and two
variables with applications to partial differential
equations",
journal = j-NUM-MATH,
volume = "11",
number = "3",
pages = "232--256",
month = mar,
year = "1968",
CODEN = "NUMMA7",
DOI = "https://doi.org/10.1007/BF02161845",
ISSN = "0029-599x (print), 0945-3245 (electronic)",
ISSN-L = "0029-599X",
MRclass = "65.20 (41.00)",
MRnumber = "226817",
MRreviewer = "F. Perrin",
bibdate = "Sun Oct 29 10:49:01 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/birkhoff-garrett.bib;
https://www.math.utah.edu/pub/bibnet/authors/v/varga-richard-steven.bib;
https://www.math.utah.edu/pub/tex/bib/nummath.bib",
URL = "http://www.math.kent.edu/~varga/pub/paper_37.pdf",
ZMnumber = "0159.20904",
acknowledgement = ack-nhfb,
author-dates = "Garrett Birkhoff (19 January 1911--22 November 1996);
Richard S. Varga (8 October 1928--25 February 2022)",
fjournal = "Numerische Mathematik",
GB-number = "146",
journal-URL = "http://link.springer.com/journal/211",
ZBmath = "3256231",
}
@Article{Birkhoff:1969:BRT,
author = "Garrett Birkhoff",
title = "Book Review: {{\booktitle{The Theory of Splines and
Their Applications}} (J. H. Ahlberg, E. N. Nilson and
J. L. Walsh)}",
journal = j-SIAM-REVIEW,
volume = "11",
number = "1",
pages = "91--92",
month = "????",
year = "1969",
CODEN = "SIREAD",
DOI = "https://doi.org/10.1137/1011018",
ISSN = "0036-1445 (print), 1095-7200 (electronic)",
ISSN-L = "0036-1445",
bibdate = "Thu Mar 27 09:06:04 MDT 2014",
bibsource = "http://epubs.siam.org/toc/siread/11/1;
https://www.math.utah.edu/pub/bibnet/authors/b/birkhoff-garrett.bib;
https://www.math.utah.edu/pub/tex/bib/siamreview.bib",
acknowledgement = ack-nhfb,
author-dates = "Garrett Birkhoff (19 January 1911--22 November 1996)",
fjournal = "SIAM Review",
journal-URL = "http://epubs.siam.org/sirev",
onlinedate = "January 1969",
}
@Article{Birkhoff:1969:HST,
author = "Garrett Birkhoff and Ibrahim Abu-Shumays",
title = "Harmonic solutions of transport equations",
journal = j-J-MATH-ANAL-APPL,
volume = "28",
number = "1",
pages = "211--221",
month = oct,
year = "1969",
CODEN = "JMANAK",
DOI = "https://doi.org/10.1016/0022-247X(69)90123-1",
ISSN = "0022-247x (print), 1096-0813 (electronic)",
ISSN-L = "0022-247X",
MRclass = "82.45 (45.00)",
MRnumber = "246609",
MRreviewer = "E. Bareiss",
bibdate = "Sun Oct 29 10:49:01 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/birkhoff-garrett.bib",
URL = "https://pdf.sciencedirectassets.com/272578/1-s2.0-S0022247X00X04994/1-s2.0-0022247X69901231/main.pdf?",
ZMnumber = "0202.38902",
acknowledgement = ack-nhfb,
author-dates = "Garrett Birkhoff (19 January 1911--22 November 1996)",
fjournal = "Journal of Mathematical Analysis and Applications",
GB-number = "150",
journal-URL = "http://www.sciencedirect.com/science/journal/0022247X",
ZBmath = "3321482",
}
@Article{Birkhoff:1969:MP,
author = "Garrett Birkhoff",
title = "Mathematics and Psychology",
journal = j-SIAM-REVIEW,
volume = "11",
number = "4",
pages = "429--469",
month = "????",
year = "1969",
CODEN = "SIREAD",
DOI = "https://doi.org/10.1137/1011085",
ISSN = "0036-1445 (print), 1095-7200 (electronic)",
ISSN-L = "0036-1445",
MRclass = "00.50 (92.00)",
MRnumber = "262038",
bibdate = "Sun Oct 29 10:49:01 2023",
bibsource = "http://epubs.siam.org/toc/siread/11/4;
https://www.math.utah.edu/pub/bibnet/authors/b/birkhoff-garrett.bib;
https://www.math.utah.edu/pub/tex/bib/siamreview.bib",
ZMnumber = "0202.19104",
acknowledgement = ack-nhfb,
author-dates = "Garrett Birkhoff (19 January 1911--22 November 1996)",
fjournal = "SIAM Review",
GB-number = "153",
journal-URL = "http://epubs.siam.org/sirev",
onlinedate = "October 1969",
ZBmath = "3320902",
}
@InCollection{Birkhoff:1969:NSE,
author = "G. Birkhoff",
booktitle = "Lectures on Differential Equations ({USA}
1966--1967)",
title = "Numerical solution of elliptic equations",
volume = "2",
publisher = "????",
address = "????",
pages = "197--232",
year = "1969",
MRclass = "65N06 65N22 65N12 35J99 65D07",
bibdate = "Sun Oct 29 10:49:01 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/birkhoff-garrett.bib",
ZMnumber = "0208.19202",
acknowledgement = ack-nhfb,
author-dates = "Garrett Birkhoff (19 January 1911--22 November 1996)",
ZBmath = "3331257",
}
@Book{Birkhoff:1969:ODE,
author = "Garrett Birkhoff and Gian-Carlo Rota",
title = "Ordinary Differential Equations",
publisher = pub-BLAISDELL,
address = pub-BLAISDELL:adr,
edition = "Second",
pages = "xiv + 366",
year = "1969",
MRclass = "34.00",
MRnumber = "236441",
bibdate = "Sun Oct 22 09:59:52 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/birkhoff-garrett.bib",
ZMnumber = "0183.35601",
acknowledgement = ack-nhfb,
author-dates = "Garrett Birkhoff (19 January 1911--22 November 1996)",
ZBmath = "3292104",
}
@InProceedings{Birkhoff:1969:PBI,
author = "Garrett Birkhoff",
editor = "I. J. Schoenberg",
booktitle = "Approximations with Special Emphasis on Spline
Functions {(Proceedings of the Symposium, University of
Wisconsin, Madison, Wisconsin, 1969)}",
title = "Piecewise bicubic interpolation and approximation in
polygons",
publisher = pub-ACADEMIC,
address = pub-ACADEMIC:adr,
pages = "185--221",
year = "1969",
MRclass = "41A05 41A15 65D05 41.30 (65.00)",
MRnumber = "271586",
bibdate = "Sun Oct 22 09:59:52 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/birkhoff-garrett.bib",
ZMnumber = "0279.41003",
acknowledgement = ack-nhfb,
author-dates = "Garrett Birkhoff (19 January 1911--22 November 1996)",
GB-number = "151",
ZBmath = "3439382",
}
@InCollection{Birkhoff:1969:STEa,
author = "G. Birkhoff",
booktitle = "Probl. Gidrodinam. Mekh. sploshn. Sredy",
title = "Similarity and the transport equation",
publisher = "????",
address = "????",
pages = "49--54",
year = "1969",
MRclass = "76A99 76R50 82C70",
bibdate = "Sun Oct 29 10:49:01 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/birkhoff-garrett.bib",
ZMnumber = "0208.53803",
acknowledgement = ack-nhfb,
author-dates = "Garrett Birkhoff (19 January 1911--22 November 1996)",
ZBmath = "3332295",
}
@InCollection{Birkhoff:1969:STEb,
author = "Garrett Birkhoff",
booktitle = "Sedov Anniversary Volume",
title = "Similarity and the Transport Equation",
publisher = pub-SIAM,
address = pub-SIAM:adr,
pages = "55--62",
year = "1969",
bibdate = "Wed Nov 01 07:38:58 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/birkhoff-garrett.bib",
acknowledgement = ack-nhfb,
author-dates = "Garrett Birkhoff (19 January 1911--22 November 1996)",
GB-number = "149",
}
@Article{Birkhoff:1969:TOP,
author = "Garrett Birkhoff and Leon Kotin",
title = "Third order positive cyclic systems of linear
differential equations",
journal = j-J-DIFFER-EQU,
volume = "5",
pages = "182--196",
year = "1969",
CODEN = "JDEQAK",
DOI = "https://doi.org/10.1016/0022-0396(69)90111-9",
ISSN = "0022-0396 (print), 1090-2732 (electronic)",
ISSN-L = "0022-0396",
MRclass = "34.42",
MRnumber = "234054",
MRreviewer = "G. Sansone",
bibdate = "Sun Oct 29 10:49:01 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/birkhoff-garrett.bib",
ZMnumber = "0169.11303",
acknowledgement = ack-nhfb,
author-dates = "Garrett Birkhoff (19 January 1911--22 November 1996)",
fjournal = "Journal of Differential Equations",
GB-number = "148",
journal-URL = "https://www.sciencedirect.com/journal/journal-of-differential-equations/issues",
ZBmath = "3270898",
}
@InProceedings{Birkhoff:1970:AEC,
author = "Garrett Birkhoff and George Fix",
editor = "Garrett Birkhoff and Richard S. Varga",
booktitle = "Numerical Solution of Field Problems in Continuum
Physics {(Proceedings of the Symposium on Applied
Mathematics, Durham, N.C., 1968), SIAM-AMS Proceedings,
Vol. II}",
title = "Accurate eigenvalue computations for elliptic
problems",
volume = "II",
publisher = pub-AMS,
address = pub-AMS:adr,
pages = "111--151",
year = "1970",
MRclass = "65N25 65N30 65.66",
MRnumber = "260199",
MRreviewer = "P. Laasonen",
bibdate = "Sun Oct 22 09:59:52 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/birkhoff-garrett.bib",
series = "SIAM-AMS Proc.",
ZMnumber = "0231.65087",
acknowledgement = ack-nhfb,
author-dates = "Garrett Birkhoff (19 January 1911--22 November 1996)",
editor-dates = "Garrett Birkhoff (19 January 1911--22 November 1996);
Richard S. Varga (8 October 1928--25 February 2022)",
GB-number = "157",
ZBmath = "3366493",
}
@Article{Birkhoff:1970:EAS,
author = "Garrett Birkhoff and Ibrahim K. Abu-Shumays",
title = "Exact analytic solutions of transport equations",
journal = j-J-MATH-ANAL-APPL,
volume = "32",
number = "3",
pages = "468--481",
month = dec,
year = "1970",
CODEN = "JMANAK",
DOI = "https://doi.org/10.1016/0022-247X(70)90271-4",
ISSN = "0022-247x (print), 1096-0813 (electronic)",
ISSN-L = "0022-247X",
MRclass = "35K57 82.35",
MRnumber = "275818",
MRreviewer = "K. Schram",
bibdate = "Sun Oct 29 10:49:01 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/birkhoff-garrett.bib",
ZMnumber = "0217.41102",
acknowledgement = ack-nhfb,
author-dates = "Garrett Birkhoff (19 January 1911--22 November 1996)",
fjournal = "Journal of Mathematical Analysis and Applications",
GB-number = "158",
journal-URL = "http://www.sciencedirect.com/science/journal/0022247X",
ZBmath = "3345716",
}
@Article{Birkhoff:1970:HA,
author = "Garrett Birkhoff and John D. Lipson",
title = "Heterogeneous algebras",
journal = j-J-COMB-THEORY,
volume = "8",
pages = "115--133",
year = "1970",
CODEN = "JCTHAR",
DOI = "https://doi.org/10.1016/S0021-9800(70)80014-X",
ISSN = "0021-9800 (print), 1878-1756 (electronic)",
ISSN-L = "0021-9800",
MRclass = "02.88 (08.00) 68Q70",
MRnumber = "250887",
MRreviewer = "J. A. Schatz",
bibdate = "Sun Oct 29 10:49:01 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/birkhoff-garrett.bib",
ZMnumber = "0211.02003",
acknowledgement = ack-nhfb,
author-dates = "Garrett Birkhoff (19 January 1911--22 November 1996)",
fjournal = "Journal of Combinatorial Theory",
GB-number = "154",
journal-URL = "http://www.sciencedirect.com/science/journal/00219800",
xxISSN = "0097-3165 (print), 1096-0899 (electronic)",
ZBmath = "3334171",
}
@Book{Birkhoff:1970:MAAa,
author = "Garrett Birkhoff and Thomas Creson Bartee",
title = "Modern Applied Algebra",
publisher = pub-MCGRAW-HILL,
address = pub-MCGRAW-HILL:adr,
pages = "xi + 431",
year = "1970",
ISBN = "0-07-005381-2, 0-7005-3812-0",
ISBN-13 = "978-0-07-005381-6, 978-0-7005-3812-6",
LCCN = "QA251 .B49",
MRclass = "00A05 00-01 68-01 94-01",
bibdate = "Sat Oct 28 07:47:58 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/birkhoff-garrett.bib",
ZMnumber = "0215.31302",
acknowledgement = ack-nhfb,
author-dates = "Garrett Birkhoff (19 January 1911--22 November 1996)",
tableofcontents = "1: Sets and Functions / 1 \\
2: Binary Relations and Graphs / 31 \\
3: Finite State Machines / 63 \\
4: Programming Languages / 99 \\
5: Boolean Algebras / 129 \\
6: Optimization and Computer Design / 161 \\
7: Monoids and Groups / 197 \\
8: Binary Group Codes / 231 \\
9: Lattices / 257 \\
10: Rings and Ideals / 281 \\
11: Polynomial Rings and Polynomial Codes / 315 \\
12: Finite Fields / 339 \\
13: Recurrent Sequences / 367 \\
14: Computability / 397 \\
Index / 425",
ZBmath = "3341950",
}
@Book{Birkhoff:1970:MAAb,
author = "Garrett Birkhoff and Thomas Creson Bartee",
title = "Modern Applied Algebra",
publisher = "Kogakucha",
address = "Tokyo, Japan",
pages = "xi + 431",
year = "1970",
LCCN = "QD154 B619m 1970",
bibdate = "Sat Oct 28 08:12:33 MDT 2023",
bibsource = "fsz3950.oclc.org:210/WorldCat;
https://www.math.utah.edu/pub/bibnet/authors/b/birkhoff-garrett.bib",
acknowledgement = ack-nhfb,
author-dates = "1911--1996",
subject = "Algebra; Alg{\`e}bre; algebra.; Algebra.",
}
@Article{Birkhoff:1970:PCS,
author = "Garrett Birkhoff and Leon Kotin",
title = "Positive cyclic systems of linear differential
equations",
journal = j-J-DIFFER-EQU,
volume = "7",
pages = "407--416",
year = "1970",
CODEN = "JDEQAK",
DOI = "https://doi.org/10.1016/0022-0396(70)90089-6",
ISSN = "0022-0396 (print), 1090-2732 (electronic)",
ISSN-L = "0022-0396",
MRclass = "34.42",
MRnumber = "261083",
MRreviewer = "G. Sansone",
bibdate = "Sun Oct 29 10:49:01 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/birkhoff-garrett.bib",
ZMnumber = "0202.08501",
acknowledgement = ack-nhfb,
author-dates = "Garrett Birkhoff (19 January 1911--22 November 1996)",
fjournal = "Journal of Differential Equations",
GB-number = "156",
journal-URL = "https://www.sciencedirect.com/journal/journal-of-differential-equations/issues",
ZBmath = "3320578",
}
@Book{Birkhoff:1970:TLT,
author = "Garrett Birkhoff and Samuel S. {Holland, Jr.} and
Henry Crapo and Gian-Carlo Rota and George
Gr{\"a}tzer",
title = "Trends in Lattice Theory",
volume = "31",
publisher = pub-VAN-NOSTRAND-REINHOLD,
address = pub-VAN-NOSTRAND-REINHOLD:adr,
pages = "ix + 215",
year = "1970",
MRclass = "06-02",
bibdate = "Sun Oct 29 10:49:01 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/birkhoff-garrett.bib",
series = "Van Nostrand Reinhold Mathematical Studies",
ZMnumber = "0198.33603",
acknowledgement = ack-nhfb,
author-dates = "Garrett Birkhoff (19 January 1911--22 November 1996)",
ZBmath = "3316070",
}
@InProceedings{Birkhoff:1970:WCL,
author = "Garrett Birkhoff",
title = "What can Lattices Do for You?",
crossref = "Abbott:1970:TLT",
pages = "1--40",
year = "1970",
bibdate = "Wed Nov 01 07:41:38 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/birkhoff-garrett.bib",
acknowledgement = ack-nhfb,
author-dates = "Garrett Birkhoff (19 January 1911--22 November 1996)",
GB-number = "155",
}
@Book{MacLane:1970:ATS,
author = "Saunders {Mac Lane} and Garrett Birkhoff",
title = "Alg{\`e}bre. {Tome I}: {Structures} fondamentales",
volume = "XXXV",
publisher = pub-GAUTHIER-VILLARS,
address = pub-GAUTHIER-VILLARS:adr,
pages = "xxiii + 408",
year = "1970",
MRclass = "00.00",
MRnumber = "266716",
bibdate = "Sun Oct 22 09:59:52 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/birkhoff-garrett.bib",
note = "Traduit de l'anglais par J. Weil, Pr{\'e}face de J.
Dieudonn{\'e}",
series = "Cahiers Scientifiques [Scientific Reports]",
ZMnumber = "0201.01801",
acknowledgement = ack-nhfb,
author-dates = "Garrett Birkhoff (19 January 1911--22 November 1996);
Saunders Mac Lane (1909--2005)",
ZBmath = "3318658",
}
@Article{Birkhof:1971:MPIa,
author = "Garet Birkhof",
title = "Mathematics and psychology. {I}",
journal = "Fiz.-Mat. Spis. B\bud lgar. Akad. Nauk.",
volume = "14",
number = "47",
pages = "212--231",
year = "1971",
ISSN = "0015-3265",
MRclass = "00A25 (92A25)",
MRnumber = "396145",
bibdate = "Sun Oct 22 09:59:52 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/birkhoff-garrett.bib",
acknowledgement = ack-nhfb,
author-dates = "Garrett Birkhoff (19 January 1911--22 November 1996)",
fjournal = "B\bud lgarska Akademiya na Naukite. Fizicheski
Institut. Matematicheski Institut.
Fiziko-Matematichesko Spisanie",
}
@Article{Birkhof:1971:MPIb,
author = "Garet Birkhof",
title = "Mathematics and psychology. {II}",
journal = "Fiz.-Mat. Spis. B\bud lgar. Akad. Nauk.",
volume = "14",
number = "47",
pages = "297--322",
year = "1971",
ISSN = "0015-3265",
MRclass = "00A25 (92A25)",
MRnumber = "396145",
bibdate = "Sun Oct 22 09:59:52 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/birkhoff-garrett.bib",
acknowledgement = ack-nhfb,
author-dates = "Garrett Birkhoff (19 January 1911--22 November 1996)",
fjournal = "B\bud lgarska Akademiya na Naukite. Fizicheski
Institut. Matematicheski Institut.
Fiziko-Matematichesko Spisanie",
}
@TechReport{Birkhoff:1971:ASE,
author = "Garrett Birkhoff",
title = "Angular Singularities of Elliptic Problems",
type = "Technical Report",
number = "HUX-3971-5; NSA-25-018228",
institution = "Harvard University",
address = "Cambridge, MA, USA",
pages = "??",
day = "31",
month = oct,
year = "1971",
bibdate = "Sat Nov 04 07:31:29 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/birkhoff-garrett.bib",
URL = "https://www.osti.gov/biblio/4035800",
acknowledgement = ack-nhfb,
author-dates = "Garrett Birkhoff (19 January 1911--22 November 1996)",
remark = "Published in \cite{Birkhoff:1972:ASE}.",
}
@Article{Birkhoff:1971:FEM,
author = "Garrett Birkhoff and George J. Fix",
title = "Finite Element Methods in Reactor Design
Calculations",
journal = j-TRANS-AM-NUCL-SOC,
volume = "14",
number = "1",
pages = "199--??",
month = jun,
year = "1971",
CODEN = "TANSAO",
ISSN = "0003-018X",
bibdate = "Sat Nov 04 07:35:20 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/birkhoff-garrett.bib",
URL = "https://www.osti.gov/biblio/4021529",
acknowledgement = ack-nhfb,
author-dates = "Garrett Birkhoff (19 January 1911--22 November 1996)",
fjournal = "Transactions of the American Nuclear Society",
journal-URL = "https://www.ans.org/pubs/transactions/",
}
@Book{Birkhoff:1971:NSE,
author = "Garrett Birkhoff",
title = "The Numerical Solution of Elliptic Equations",
volume = "1",
publisher = pub-SIAM,
address = pub-SIAM:adr,
pages = "xi + 82",
year = "1971",
MRclass = "65Mxx 65-01 65Nxx 65M99 65N99 35J99",
MRnumber = "311125",
MRreviewer = "J. Burlak",
bibdate = "Sun Oct 29 10:49:01 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/birkhoff-garrett.bib",
series = "Conference Board of the Mathematical Sciences Regional
Conference Series in Applied Mathematics",
ZMnumber = "0232.65068",
acknowledgement = ack-nhfb,
author-dates = "Garrett Birkhoff (19 January 1911--22 November 1996)",
fseries = "CBMS-NSF Regional Conference Series in Applied
Mathematics",
ZBmath = "3368114",
}
@Article{Birkhoff:1971:OSG,
author = "Garrett Birkhoff and Arthur S. Priver",
title = "Optimal smoothing of {Gaussian} periodic data",
journal = j-INDIANA-UNIV-MATH-J,
volume = "21",
number = "2",
pages = "103--113",
year = "1971",
CODEN = "IUMJAB",
DOI = "https://doi.org/10.1512/iumj.1971.21.21009",
ISSN = "0022-2518",
ISSN-L = "0022-2518",
MRclass = "62.85 65D10",
MRnumber = "282484",
MRreviewer = "E. J. Hannan",
bibdate = "Sun Oct 22 09:59:52 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/birkhoff-garrett.bib",
ZMnumber = "0251.65004",
acknowledgement = ack-nhfb,
author-dates = "Garrett Birkhoff (19 January 1911--22 November 1996)",
fjournal = "Indiana University Mathematics Journal",
GB-number = "161",
journal-URL = "http://www.iumj.indiana.edu/",
received = "8 March 1971",
remark = "Web site says 1972 in citation output, but journal
pages say 1971.",
ZBmath = "3396976",
}
@InProceedings{Birkhoff:1971:PCS,
author = "Garrett Birkhoff and Leon Kotin",
booktitle = "Transactions of the Sixteenth Conference Army
Mathematics",
title = "Positive cyclic systems of linear differential
equations",
volume = "71-1",
publisher = "U.S. Army Research Office",
address = "Durham, NC, USA",
pages = "102--111",
year = "1971",
MRclass = "34A30",
bibdate = "Sun Oct 29 10:49:01 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/birkhoff-garrett.bib",
ZMnumber = "0265.34015",
acknowledgement = ack-nhfb,
author-dates = "Garrett Birkhoff (19 January 1911--22 November 1996)",
ZBmath = "3417866",
}
@InProceedings{Birkhoff:1971:RMA,
author = "Garrett Birkhoff",
editor = "Garrett Birkhoff and Marshall Hall",
booktitle = "Computers in algebra and number theory {(Proceedings
of the SIAM-AMS Symposium on Applied Mathematics, New
York, 1970)}",
title = "The role of modern algebra in computing",
volume = "IV",
publisher = pub-AMS,
address = pub-AMS:adr,
pages = "1--47",
year = "1971",
MRclass = "68-01 68W99 68Q25 94B99 94C11 93C05 68Q45 68-02",
MRnumber = "378453",
MRreviewer = "Bostwick F. Wyman",
bibdate = "Sun Oct 22 09:59:52 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/birkhoff-garrett.bib",
series = "SIAM-AMS Proc.",
ZMnumber = "0241.68003",
acknowledgement = ack-nhfb,
author-dates = "Garrett Birkhoff (19 January 1911--22 November 1996)",
GB-number = "169",
ZBmath = "3381831",
}
@Article{Birkhoff:1971:TPI,
author = "Garrett Birkhoff",
title = "Tricubic polynomial interpolation",
journal = j-PROC-NATL-ACAD-SCI-USA,
volume = "68",
number = "6",
pages = "1162--1164",
day = "1",
month = jun,
year = "1971",
CODEN = "PNASA6",
DOI = "https://doi.org/10.1073/pnas.68.6.1162",
ISSN = "0027-8424 (print), 1091-6490 (electronic)",
ISSN-L = "0027-8424",
MRclass = "41A10 41A05 41A15",
MRnumber = "299982",
MRreviewer = "H. Brunner",
bibdate = "Sun Oct 29 10:49:01 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/birkhoff-garrett.bib",
ZMnumber = "0242.41007",
acknowledgement = ack-nhfb,
author-dates = "Garrett Birkhoff (19 January 1911--22 November 1996)",
fjournal = "Proceedings of the National Academy of Sciences of the
United States of America",
GB-number = "159",
journal-URL = "http://www.pnas.org/content/by/year",
ZBmath = "3382966",
}
@Book{MacLane:1971:ATI,
author = "Saunders {Mac Lane} and Garrett Birkhoff",
title = "Alg{\`e}bre, {Tome II}: {Les} grands
th{\'e}or{\`e}mes",
volume = "XXXVI",
publisher = pub-GAUTHIER-VILLARS,
address = pub-GAUTHIER-VILLARS:adr,
pages = "xiv + 343 (+ loose errata)",
year = "1971",
MRclass = "00.00 08-01",
MRnumber = "277320",
bibdate = "Sun Oct 22 09:59:52 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/birkhoff-garrett.bib",
note = "Traduit de l'anglais par J. Weil",
series = "Cahiers Scientifiques [Scientific Reports]",
ZMnumber = "0213.28901",
acknowledgement = ack-nhfb,
author-dates = "Garrett Birkhoff (19 January 1911--22 November 1996);
Saunders Mac Lane (1909--2005)",
ZBmath = "3338480",
}
@Article{Birkhoff:1972:ASE,
author = "Garrett Birkhoff",
title = "Angular singularities of elliptic problems",
journal = j-J-APPROX-THEORY,
volume = "6",
pages = "215--230",
year = "1972",
CODEN = "JAXTAZ",
DOI = "https://doi.org/10.1016/0021-9045(72)90075-5",
ISSN = "0021-9045 (print), 1096-0430 (electronic)",
ISSN-L = "0021-9045",
MRclass = "35J15 35A35 65N30 35J25 (65P05)",
MRnumber = "361423",
MRreviewer = "Hans Kaper",
bibdate = "Sun Oct 29 10:49:01 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/birkhoff-garrett.bib",
ZMnumber = "0252.35003",
acknowledgement = ack-nhfb,
author-dates = "Garrett Birkhoff (19 January 1911--22 November 1996)",
fjournal = "Journal of Approximation Theory",
GB-number = "162",
journal-URL = "http://www.sciencedirect.com/science/journal/00219045",
ZBmath = "3397996",
}
@Article{Birkhoff:1972:CTA,
author = "Garrett Birkhoff",
title = "Current trends in algebra",
journal = "Matematikai Lapok. Bolyai J{\'a}nos Matematikai
T{\'a}rsulat",
volume = "23",
pages = "237--255",
year = "1972",
ISSN = "0025-519X",
MRclass = "01A65 (65-XX)",
MRnumber = "360123",
bibdate = "Sun Oct 22 09:59:52 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/birkhoff-garrett.bib",
acknowledgement = ack-nhfb,
ajournal = "Mat. Lapok",
author-dates = "Garrett Birkhoff (19 January 1911--22 November 1996)",
fjournal = "Matematikai Lapok. Bolyai J{\'a}nos Matematikai
T{\'a}rsulat",
}
@Article{Birkhoff:1972:MEI,
author = "Garrett Birkhoff",
title = "Mathematical Education: The Impact of Computers on
Undergraduate Mathematical Education in 1984",
journal = j-AMER-MATH-MONTHLY,
volume = "79",
number = "6",
pages = "648--657",
month = jun # "\slash " # jul,
year = "1972",
CODEN = "AMMYAE",
DOI = "https://doi.org/10.2307/2317098",
ISSN = "0002-9890 (print), 1930-0972 (electronic)",
ISSN-L = "0002-9890",
bibdate = "Mon Jun 28 12:36:47 MDT 1999",
bibsource = "http://www.jstor.org/journals/00029890.htm;
https://www.math.utah.edu/pub/bibnet/authors/b/birkhoff-garrett.bib",
acknowledgement = ack-nhfb,
author-dates = "Garrett Birkhoff (19 January 1911--22 November 1996)",
fjournal = "American Mathematical Monthly",
GB-number = "163",
journal-URL = "http://www.jstor.org/journals/00029890.html",
}
@InProceedings{Birkhoff:1972:PAI,
author = "Garrett Birkhoff",
editor = "A. K. Aziz",
booktitle = "The mathematical foundations of the finite element
method with applications to partial differential
equations (Proceedings of the Symposium, University of
Maryland, Baltimore, Md., 1972)",
title = "Piecewise analytic interpolation and approximation in
triangulated polygons",
publisher = pub-ACADEMIC,
address = pub-ACADEMIC:adr,
pages = "363--385",
year = "1972",
MRclass = "65D05 (65N30)",
MRnumber = "411117",
MRreviewer = "M. Zl{\'a}mal",
bibdate = "Sun Oct 22 09:59:52 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/birkhoff-garrett.bib",
ZMnumber = "0305.65069",
acknowledgement = ack-nhfb,
author-dates = "Garrett Birkhoff (19 January 1911--22 November 1996)",
GB-number = "164",
ZBmath = "3478346",
}
@Book{MacLane:1972:ASD,
author = "S. {Mac Lane} and G. Birkhoff",
title = "Alg{\`e}bre",
publisher = pub-GAUTHIER-VILLARS,
address = pub-GAUTHIER-VILLARS:adr,
pages = "xii + 220",
year = "1972",
MRclass = "00A05 03-01 12-01 16-01",
bibdate = "Sun Oct 29 10:49:01 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/birkhoff-garrett.bib",
note = "Solutions d{\'e}velopp{\'e}es des exercises par J.
Weil et J. Hocquemiller. 1re partie: Ensembles.
Groupes. Anneaux. Corps.",
ZMnumber = "0246.00001",
acknowledgement = ack-nhfb,
author-dates = "Garrett Birkhoff (19 January 1911--22 November 1996);
Saunders Mac Lane (1909--2005)",
language = "French",
ZBmath = "3388951",
}
@Article{Barnhill:1973:SIT,
author = "R. E. Barnhill and G. Birkhoff and W. J. Gordon",
title = "Smooth interpolation in triangles",
journal = j-J-APPROX-THEORY,
volume = "8",
pages = "114--128",
year = "1973",
CODEN = "JAXTAZ",
DOI = "https://doi.org/10.1016/0021-9045(73)90020-8",
ISSN = "0021-9045 (print), 1096-0430 (electronic)",
ISSN-L = "0021-9045",
MRclass = "41A05 65D05",
MRnumber = "368382",
MRreviewer = "T. J. Rivlin",
bibdate = "Sun Oct 29 10:49:01 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/birkhoff-garrett.bib",
ZMnumber = "0271.41002",
acknowledgement = ack-nhfb,
author-dates = "Garrett Birkhoff (19 January 1911--22 November 1996)",
fjournal = "Journal of Approximation Theory",
GB-number = "170",
journal-URL = "http://www.sciencedirect.com/science/journal/00219045",
ZBmath = "3426165",
}
@Book{Birkhoff:1973:AAD,
author = "Garrett Birkhoff and Thomas C. Bartee",
title = "{Angewandte Algebra}. ({German}) [{Applied} Algebra]",
publisher = pub-OLDENBOURG,
address = pub-OLDENBOURG:adr,
pages = "431 + 98 + 13",
year = "1973",
MRclass = "00A05",
bibdate = "Sun Oct 29 10:49:01 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/birkhoff-garrett.bib",
note = "Deutsche {\"U}bersetzung von Rudolf Herschel und
Albert Lutz.",
ZMnumber = "0272.00004",
acknowledgement = ack-nhfb,
author-dates = "Garrett Birkhoff (19 January 1911--22 November 1996)",
language = "German",
ZBmath = "3427235",
}
@Article{Birkhoff:1973:CTA,
author = "Garrett Birkhoff",
title = "Current trends in algebra",
journal = j-AMER-MATH-MONTHLY,
volume = "80",
number = "7",
pages = "760--782",
month = aug # "\slash " # sep,
year = "1973",
CODEN = "AMMYAE",
DOI = "https://doi.org/10.2307/2318163",
ISSN = "0002-9890 (print), 1930-0972 (electronic)",
ISSN-L = "0002-9890",
MRclass = "01A65 (65-XX) 12-03 00A05",
MRnumber = "321665",
MRreviewer = "Peter M. Neumann",
bibdate = "Sun Oct 29 10:49:01 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/birkhoff-garrett.bib",
ZMnumber = "0286.01013",
acknowledgement = ack-nhfb,
author-dates = "Garrett Birkhoff (19 January 1911--22 November 1996)",
fjournal = "American Mathematical Monthly",
GB-number = "160",
journal-URL = "http://www.jstor.org/journals/00029890.html",
ZBmath = "3448513",
}
@InProceedings{Birkhoff:1973:END,
author = "Garrett Birkhoff and Alan George",
booktitle = "Complexity of sequential and parallel numerical
algorithms ({Proceedings of the Symposium,
Carnegie-Mellon Univ., Pittsburgh, Pa., 1973})",
title = "Elimination by nested dissection",
publisher = pub-ACADEMIC,
address = pub-ACADEMIC:adr,
pages = "221--269",
year = "1973",
MRclass = "65F05 (68A20) 68Q25",
MRnumber = "366010",
MRreviewer = "Stephen A. Gourley",
bibdate = "Sun Oct 22 09:59:52 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/birkhoff-garrett.bib",
ZMnumber = "0293.65017",
acknowledgement = ack-nhfb,
author-dates = "Garrett Birkhoff (19 January 1911--22 November 1996)",
GB-number = "167",
ZBmath = "3459757",
}
@InProceedings{Birkhoff:1973:GLI,
author = "Garrett Birkhoff and Leon Kotin",
booktitle = "Transactions of the {Eighteenth Conference of Army
Mathematicians (Feltman Research Laboratory, Picatinny
Arsenal, Dover, New Jersey, 1972)}",
title = "A generalization of {Liapunov}'s inequality",
volume = "73-1",
publisher = "U.S. Army Research Office (Durham)",
address = "Durham, NC, USA",
pages = "203--211",
year = "1973",
MRclass = "34B10 49K30 70J99 70K99",
MRnumber = "382771",
MRreviewer = "Pan-Tai Liu",
bibdate = "Sun Oct 22 09:59:52 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/birkhoff-garrett.bib",
series = "U.S. Army Research Office (Durham), Report",
ZMnumber = "0352.49006",
acknowledgement = ack-nhfb,
author-dates = "Garrett Birkhoff (19 January 1911--22 November 1996)",
ZBmath = "3548010",
}
@Article{Birkhoff:1973:IBD,
author = "Garrett Birkhoff",
title = "Interpolation to boundary data in triangles",
journal = j-J-MATH-ANAL-APPL,
volume = "42",
number = "2",
pages = "474--484",
month = may,
year = "1973",
CODEN = "JMANAK",
DOI = "https://doi.org/10.1016/0022-247X(73)90154-6",
ISSN = "0022-247x (print), 1096-0813 (electronic)",
ISSN-L = "0022-247X",
MRclass = "65D05 (41A05) 41A10 41A63 65D05",
MRnumber = "339445",
MRreviewer = "R. E. Barnhill",
bibdate = "Sun Oct 29 10:49:01 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/birkhoff-garrett.bib",
note = "Collection of articles dedicated to Salomon Bochner",
ZMnumber = "0262.41003",
acknowledgement = ack-nhfb,
author-dates = "Garrett Birkhoff (19 January 1911--22 November 1996)",
fjournal = "Journal of Mathematical Analysis and Applications",
GB-number = "166",
journal-URL = "http://www.sciencedirect.com/science/journal/0022247X",
ZBmath = "3413182",
}
@InProceedings{Birkhoff:1973:MAC,
author = "Garrett Birkhoff",
editor = "L. I. Sedov and G. Yu. Stepanov",
booktitle = "{Neustan. Tecenija Vody bol's. Skorost., Trudy
mezdunarod. Simpoz. Leningrad 1971}",
title = "Mathematical analysis of cavitation",
publisher = "Nauka",
address = "Moscow, USSR",
pages = "19--38",
year = "1973",
MRclass = "76B10 65Z05",
bibdate = "Sun Oct 29 10:49:01 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/birkhoff-garrett.bib",
ZMnumber = "0286.76011",
acknowledgement = ack-nhfb,
author-dates = "Garrett Birkhoff (19 January 1911--22 November 1996)",
GB-number = "168",
xxbooktitle = "Proceedings of the IUTAM Symposium on Non-Steady Flow
of Water at High Speeds",
ZBmath = "3449895",
}
@Article{Birkhoff:1973:NTF,
author = "Garrett Birkhoff",
title = "Numerical techniques of fluid flow",
journal = j-TRANS-AM-NUCL-SOC,
volume = "17",
number = "??",
pages = "242--??",
month = nov,
year = "1973",
CODEN = "TANSAO",
DOI = "TANSAO",
ISSN = "0003-018X",
ISSN-L = "0003-018X",
bibdate = "Sat Nov 04 06:50:55 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/birkhoff-garrett.bib",
URL = "https://www.osti.gov/biblio/4391942",
acknowledgement = ack-nhfb,
ajournal = "Trans. Am. Nucl. Soc.",
author-dates = "Garrett Birkhoff (19 January 1911--22 November 1996)",
fjournal = "Transactions of the American Nuclear Society",
journal-URL = "https://www.ans.org/pubs/transactions/",
remark = "Joint meeting of the American Nuclear Society and the
Atomic Industrial Forum and Nuclear Energy Exhibition,
San Francisco, California, USA, 11 Nov 1973.",
}
@Book{Birkhoff:1973:SBC,
editor = "Garrett Birkhoff",
title = "A Source Book in Classical Analysis",
publisher = pub-HARVARD,
address = pub-HARVARD:adr,
pages = "xii + 470",
year = "1973",
ISBN = "0-674-82245-5 (hardcover)",
ISBN-13 = "978-0-674-82245-0 (hardcover)",
LCCN = "QA300 .B54 1973",
MRclass = "01A55 00A05 26-03 01A60 30-03 40-03 41-03 33-03 34-03
35-03 49-03 45-03",
bibdate = "Sat Oct 28 08:27:05 MDT 2023",
bibsource = "fsz3950.oclc.org:210/WorldCat;
https://www.math.utah.edu/pub/bibnet/authors/b/birkhoff-garrett.bib",
series = "Source books in the history of the sciences",
ZMnumber = "0275.01009",
acknowledgement = ack-nhfb,
author-dates = "Garrett Birkhoff (19 January 1911--22 November 1996)",
shorttableofcontents = "1. Foundations of real analysis \\
A. Cauchy's partial rigorization \\
B. Continuity and integrability \\
\\
2. Foundations of complex analysis \\
A. Early developments \\
B. Riemann's influence \\
\\
3. Convergent expansions \\
A. The convergence of power series \\
B. The influence of Weierstrass \\
\\
4. Asymptotic expansions \\
A. Analytic number theory \\
B. Asymptotic series \\
\\
5. Fourier series and integrals \\
A. Fourier series \\
B. The Fourier integral \\
\\
6. Elliptic and abelian integrals \\
\\
7. Elliptic and automorphic functions \\
A. Elliptic and hyperelliptic functions \\
B. Automorphic functions \\
\\
8. Ordinary differential equations I \\
A. Existence and uniqueness theorems \\
B. Sturm--Liouville theory \\
\\
9. Ordinary differential equations II \\
A. Regular singular points \\
B. Other fundamental contributions \\
\\
10. Partial differential equations \\
A. The Cauchy--Kowalewski theorem \\
B. Beginnings of potential theory \\
C. Potential theory develops \\
\\
11. Calculus of variations \\
A. Variational principles of dynamics \\
B. Intuitive uses of variational principles \\
C. Rigorous existence theorems \\
\\
12. Wave equations and characteristics \\
\\
13. Integral equations",
subject = "Mathematical analysis; History; Sources; Analyse
math{\'e}matique; Histoire; Mathematical analysis.",
tableofcontents = "1: Foundations of Real Analysis / 1 \\
A. Cauchy's Partial Rigorization / 1 \\
1a. Cauchy on Limits and Continuity / 2 \\
1b. Cauchy on convergence / 3 \\
1c. Cauchy on the Radius of Convergence / 4 \\
2. Cauchy on the Derivative as a Limit / 4 \\
3. Cauchy on Maclaurin's Theorem / 6 \\
4. Cauchy--Moigno on the Fundamental Theorem of the
Calculus / 8 \\
B. Continuity and Integrability / 11 \\
5. Bolzano on Continuity and Limits / 15 \\
6. Riemann on Fourier Series and the Riemann Integral /
16 \\
7a. Heine Discusses Fourier Series / 23 \\
7b. Heine on the Foundations of Function Theory / 25
\\
8. Stieltjes on the Stieltjes Integral / 26 \\
\\
2: Foundations of Complex Analysis / 31 \\
A. Early Developments / 31 \\
9. Cauchy's Integral Theorem / 33 \\
10. Cauchy's Integral Formula / 37 \\
11. Cauchy's Calculus of Residues / 40 \\
12a. Cauchy on Liouville's Theorem / 44 \\
12b. Jordan on Liouville's Theorem / 45 \\
B. Riemann's Influence / 46 \\
13. Riemann on the Cauchy--Riemann Equations / 48 \\
14. Riemann on Riemann Surfaces / 50 \\
15. Schwarz on Conformal Mapping / 56 \\
\\
3: Convergent Expansions / 60 \\
A. The Convergence of Power Series / 60 \\
16. Gauss on the Hypergeometric Series / 62 \\
17. Abel on the Binomial Series / 68 \\
B. The Influence of Weierstrass / 71 \\
18. Weierstrass on Analytic Functions of several
Variables / 74 \\
19. Picard on Picard's Theorem / 79 \\
20a. Weierstrass on Infinite Products / 80 \\
20b. Mittag-Leffler's Theorem / 88 \\
\\
4: Asymptotic Expansions / 93 \\
A. Analytic Number Theory / 93 \\
21. Riemann on the Riemann Zeta Function / 95 \\
22. Hadamard on the Distribution of Primes / 98 \\
B. Asymptotic Series / 104 \\
23. Stirling's Formula / 105 \\
24. Laplace on Generating Functions / 108 \\
25. Abel on the Laplace Transform / 115 \\
26. Poincar{\'e} on Asymptotic Series / 117 \\
27. Lerch on Lerch's Theorem / 125 \\
\\
5: Fourier Series and Integrals / 130 \\
A. Fourier Series / 130 \\
28. Fourier on Heat Flow in a Slab / 132 \\
29a. Fourier on Expansions in Sine Series / 138 \\
29b. Fourier on Heat Flow in a Ring / 141 \\
30. Dirichlet on the Convergence of Fourier Series /
145 \\
31. Wilbraham on the Gibbs Phenomenon / 147 \\
32. Fej{\'e}r on the Convergence of Fourier Series /
150 \\
B. The Fourier Integral / 156 \\
33a--b. Cauchy on the Fourier Integral / 157 \\
34. Fourier on the Fourier Integral / 164 \\
35. Cauchy on Linear Partial Differential Equations
with Constant Coefficients / 170 \\
\\
6: Elliptic and Abelian Integrals / 175 \\
36. Legendre on Elliptic Integrals / 177 \\
37. Abel's Addition Theorem / 188 \\
38. Abel on Hyperelliptic Integrals / 190 \\
39a. Riemann on Abelian Integrals / 196 \\
39b. Roch on the Riemann--Roch Theorem / 201 \\
\\
7: Elliptic and Automorphic Functions / 204 \\
A. Elliptic and Hyperelliptic Functions / 204 \\
40. Abel on Elliptic Functions / 206 \\
41. Jacobi on Elliptic Functions / 207 \\
42. Jacobi on Some Identities / 212 \\
43. Jacobi on the Jacobi Theta Functions / 218 \\
44. Weierstrass's Al Functions / 224 \\
B. Automorphic Functions / 229 \\
45. Poincar{\'e} on Automorphic Functions / 230 \\
46. Klein on Fundamental Regions of Discontinuous
Groups / 000 \\
\\
8: Ordinary Differential Equations. I. / 242 \\
A. Existence and Uniqueness Theorems / 242 \\
47. Cauchy on the Cauchy Polygon Method / 243 \\
48. Lipschitz on the Lipschitz Condition / 247 \\
49. Picard on the Picard Method / 250 \\
50. Osgood's Existence Theorem / 251 \\
B. Sturm--Liouville Theory / 258 \\
51. Sturm on Sturm's Theorems / 259 \\
52. Liouville on Sturm--Liouville Expansions. I. / 268
\\
53. Liouville on Sturm--Liouville Expansions. II. / 276
\\
\\
9: Ordinary Differential Equations. II. / 282 \\
A. Regular Singular Points / 282 \\
54. Fuchs on Isolated Singular Points / 283 \\
55. Frobenius on Regular Singular Points / 293 \\
B. Other Fundamental Contributions / 299 \\
56. Lie on Groups of Transformations / 300 \\
57. Poincar{\'e} on the Qualitative Theory of
Differential Equations / 305 \\
58. Peano on the Peano Series / 311 \\
\\
10: Partial Differential Equations / 318 \\
A. The Cauchy--Kowalewski Theorem / 318 \\
59. Cauchy on the Cauchy--Kowalewski Theorem / 319 \\
60. Kowalewski on the Cauchy--Kowalewski Theorem / 327
\\
B. Beginnings of Potential Theory / 335 \\
61. Laplace on the Laplacian Operator / 336 \\
62. Legendre on Legendre Polynomials / 338 \\
63. Poisson on the Poisson Equation / 342 \\
C. Potential Theory Develops / 346 \\
64. Green on Green's Identities / 347 \\
65. Gauss on Potential Theory / 358 \\
66. Kelvin on Inversion / 362 \\
\\
11: Calculus of Variations / 365 \\
A. Variational Principles of Dynamics / 365 \\
67. Lagrange on Properties Related to Least Action /
367 \\
68. Hamilton on Hamilton's Principle / 370 \\
69. Jacobi on the Hamilton--Jacobi Equations / 374 \\
B. Intuitive Uses of Variational Principles / 379 \\
70a. Kelvin on the Dirichlet Principle / 380 \\
70b. Kelvin on a Variational Principle of Hydrodynamics
/ 383 \\
71a. Dirichlet on the Dirichlet Principle / 385 \\
71b. Rayleigh on the Rayleigh--Ritz Method / 386 \\
C. Rigorous Existence Theorems / 396 \\
72. Du Bois--Reymond on the Fundamental Theorem of the
Calculus of Variations / 392 \\
73. Poincar{\'e} on His M{\'e}thode de Balayage / 395
\\
74. Hilbert on Dirichlet's Principle / 399 \\
\\
12: Wave Equations and Characteristics / 403 \\
75. Riemann on Plane Waves of Finite Amplitude / 406
\\
76. Helmholtz on the Helmholtz Equation / 414 \\
77. Kirchhoff's Identities for the Wave Equation / 417
\\
78. Volterra on Characteristics / 421 \\
\\
13: Integral Equations / 435 \\
79. Abel's Integral Equation / 437 \\
80. Volterra on Inverting Integral Equations / 442 \\
81. Fredholm on the Theory of Integral Equations / 449
\\
\\
Short Bibliography / 466 \\
\\
Index / 468",
ZBmath = "3432186",
}
@InCollection{Birkhoff:1973:SWS,
author = "Garr Birkhoff and J. Bona and Joseph {Kamp{\'e} de
F{\'e}riet}",
booktitle = "Probabilistic methods in applied mathematics, {Vol}.
3",
title = "Statistically well-set {Cauchy} problems",
publisher = pub-ACADEMIC,
address = pub-ACADEMIC:adr,
pages = "1--120",
year = "1973",
MRclass = "35R99 (60H99)",
MRnumber = "610264",
bibdate = "Sun Oct 22 09:59:52 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/birkhoff-garrett.bib",
acknowledgement = ack-nhfb,
author-dates = "Garrett Birkhoff (19 January 1911--22 November 1996)",
GB-number = "165",
}
@Book{MacLane:1973:ASD,
author = "S. {Mac Lane} and G. Birkhoff",
title = "Alg{\`e}bre. {Solutions} d{\'e}velopp{\'e}es des
exercices par {D. Allouch, A. Mezard, J.-C. Vaillant,
J. Weil}. 2i{\`e}me partie: {Alg{\`e}bre}
lin{\'e}aire",
publisher = pub-GAUTHIER-VILLARS,
address = pub-GAUTHIER-VILLARS:adr,
pages = "x + 233",
year = "1973",
MRclass = "00A05 15-01",
bibdate = "Sun Oct 29 10:49:01 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/birkhoff-garrett.bib",
ZMnumber = "0275.00002",
acknowledgement = ack-nhfb,
author-dates = "Garrett Birkhoff (19 January 1911--22 November 1996);
Saunders Mac Lane (1909--2005)",
language = "French",
ZBmath = "3432168",
}
@Article{Birkhof:1974:CTA,
author = "Garet Birkhof",
title = "Current trends in algebra",
journal = "Fiz.-Mat. Spis. B\bud lgar. Akad. Nauk.",
volume = "17(50)",
pages = "190--210",
year = "1974",
ISSN = "0015-3265",
MRclass = "00A05",
MRnumber = "396133",
bibdate = "Sun Oct 22 09:59:52 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/birkhoff-garrett.bib",
acknowledgement = ack-nhfb,
author-dates = "Garrett Birkhoff (19 January 1911--22 November 1996)",
fjournal = "B\bud lgarska Akademiya na Naukite. Fizicheski
Institut. Matematicheski Institut.
Fiziko-Matematichesko Spisanie",
}
@Article{Birkhoff:1974:BRO,
author = "Garrett Birkhoff",
title = "Book Review: {{\booktitle{Origins of modern algebra}}:
By Lubos Novy. Prague (Academia), 1973. 260 p}",
journal = j-HIST-MATH,
volume = "1",
number = "3",
pages = "333--337",
month = aug,
year = "1974",
CODEN = "HIMADS",
ISSN = "0315-0860 (print), 1090-249X (electronic)",
ISSN-L = "0315-0860",
bibdate = "Wed Jun 26 06:16:24 MDT 2013",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/birkhoff-garrett.bib;
https://www.math.utah.edu/pub/tex/bib/histmath.bib",
URL = "http://www.sciencedirect.com/science/article/pii/0315086074900780",
acknowledgement = ack-nhfb,
author-dates = "Garrett Birkhoff (19 January 1911--22 November 1996)",
fjournal = "Historia Mathematica",
journal-URL = "http://www.sciencedirect.com/science/journal/03150860/",
}
@Article{Birkhoff:1974:CCT,
author = "Garrett Birkhoff",
title = "Corrections to: {``Current trends in algebra'' (Amer.
Math. Monthly {\bf 80} (1973), 760--782)}",
journal = j-AMER-MATH-MONTHLY,
volume = "81",
number = "7",
pages = "746",
month = aug # "\slash " # sep,
year = "1974",
CODEN = "AMMYAE",
DOI = "https://doi.org/10.2307/2319563",
ISSN = "0002-9890 (print), 1930-0972 (electronic)",
ISSN-L = "0002-9890",
MRclass = "01A65 (65-XX) 00A05 12-03",
MRnumber = "345777",
bibdate = "Sun Oct 29 10:49:01 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/birkhoff-garrett.bib",
ZMnumber = "0292.01020",
acknowledgement = ack-nhfb,
author-dates = "Garrett Birkhoff (19 January 1911--22 November 1996)",
fjournal = "American Mathematical Monthly",
journal-URL = "http://www.jstor.org/journals/00029890.html",
ZBmath = "3456869",
}
@Article{Birkhoff:1974:CTFa,
author = "Garrett Birkhoff and Lois Mansfield",
title = "Compatible triangular finite elements",
journal = j-J-MATH-ANAL-APPL,
volume = "47",
number = "3",
pages = "531--553",
month = sep,
year = "1974",
CODEN = "JMANAK",
DOI = "https://doi.org/10.1016/0022-247X(74)90006-7",
ISSN = "0022-247x (print), 1096-0813 (electronic)",
ISSN-L = "0022-247X",
MRclass = "35J30 35A99 35A35 65N12 65N30 (41A05)",
MRnumber = "359353",
MRreviewer = "R. E. Barnhill",
bibdate = "Sun Oct 22 09:59:52 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/birkhoff-garrett.bib",
ZMnumber = "0284.35021",
acknowledgement = ack-nhfb,
author-dates = "Garrett Birkhoff (19 January 1911--22 November 1996)",
fjournal = "Journal of Mathematical Analysis and Applications",
GB-number = "171",
journal-URL = "http://www.sciencedirect.com/science/journal/0022247X",
ZBmath = "3445723",
}
@Article{Birkhoff:1974:CTFb,
author = "Garrett Birkhoff",
title = "Current trends in algebra",
journal = "Matematikai Lapok. Bolyai J{\'a}nos Matematikai
T{\'a}rsulat",
volume = "23",
pages = "237--255",
year = "1974",
ISSN = "0025-519X",
MRclass = "01A65 13-03 12-03",
bibdate = "Sun Oct 29 10:49:01 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/birkhoff-garrett.bib",
ZMnumber = "0302.01002",
acknowledgement = ack-nhfb,
ajournal = "Mat. Lapok",
author-dates = "Garrett Birkhoff (19 January 1911--22 November 1996)",
fjournal = "Matematikai Lapok",
language = "Hungarian",
ZBmath = "3472012",
}
@Article{Birkhoff:1974:MAL,
author = "Garrett Birkhoff and James C. Cavendish and William J.
Gordon",
title = "Multivariate approximation by locally blended
univariate interpolants",
journal = j-PROC-NATL-ACAD-SCI-USA,
volume = "71",
number = "9",
pages = "3423--3425",
day = "1",
month = sep,
year = "1974",
CODEN = "PNASA6",
DOI = "https://doi.org/10.1073/pnas.71.9.3423",
ISSN = "0027-8424 (print), 1091-6490 (electronic)",
ISSN-L = "0027-8424",
MRclass = "65N35 (41A05) 41A63 65D05 41A15 41A25 65N30",
MRnumber = "356543",
MRreviewer = "C. W. Clenshaw",
bibdate = "Sun Oct 29 10:49:01 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/birkhoff-garrett.bib",
ZMnumber = "0292.41002",
acknowledgement = ack-nhfb,
author-dates = "Garrett Birkhoff (19 January 1911--22 November 1996)",
fjournal = "Proceedings of the National Academy of Sciences of the
United States of America",
GB-number = "172",
journal-URL = "http://www.pnas.org/content/by/year",
ZBmath = "3457466",
}
@Article{Birkhoff:1974:OFP,
author = "Garrett Birkhoff and Surender Gulati",
title = "Optimal few-point discretizations of linear source
problems",
journal = j-SIAM-J-NUMER-ANAL,
volume = "11",
pages = "700--728",
year = "1974",
CODEN = "SJNAAM",
DOI = "https://doi.org/10.1137/0711057",
ISSN = "0036-1429 (print), 1095-7170 (electronic)",
ISSN-L = "0036-1429",
MRclass = "65N05 65N06 65N12",
MRnumber = "362933",
MRreviewer = "Clarence M. Ablow",
bibdate = "Sun Oct 29 10:49:01 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/birkhoff-garrett.bib",
ZMnumber = "0293.65079",
acknowledgement = ack-nhfb,
author-dates = "Garrett Birkhoff (19 January 1911--22 November 1996)",
fjournal = "SIAM Journal on Numerical Analysis",
GB-number = "173",
journal-URL = "http://epubs.siam.org/sinum",
ZBmath = "3459819",
}
@InProceedings{Birkhoff:1974:UAA,
author = "Garrett Birkhoff and John D. Lipson",
booktitle = "Proceedings of the {Tarski Symposium (Proceedings of
the Symposium on Pure Mathematics in Honor of Alfred
Tarski, Vol. XXV, University of California, Berkeley,
Calif., 1971)}",
title = "Universal algebra and automata",
volume = "XXV",
publisher = pub-AMS,
address = pub-AMS:adr,
pages = "41--51",
year = "1974",
MRclass = "68Q45 08Axx 68A25 (08A25)",
MRnumber = "359400",
MRreviewer = "F. G{\'e}cseg",
bibdate = "Sun Oct 22 09:59:52 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/birkhoff-garrett.bib",
series = "Proceedings of the Symposium Pure Math.",
ZMnumber = "0312.94025",
acknowledgement = ack-nhfb,
author-dates = "Garrett Birkhoff (19 January 1911--22 November 1996)",
GB-number = "174",
remark = "Published for the Association for Symbolic Logic by
the AMS.",
ZBmath = "3489035",
}
@Article{Anonymous:1975:ORC,
author = "Anonymous",
title = "Opening remarks for the conference by {Garrett
Birkhoff} and {I. B. Cohen}",
journal = j-HIST-MATH,
volume = "2",
number = "4",
pages = "433--436",
month = nov,
year = "1975",
CODEN = "HIMADS",
ISSN = "0315-0860 (print), 1090-249X (electronic)",
ISSN-L = "0315-0860",
bibdate = "Wed Jun 26 06:16:33 MDT 2013",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/birkhoff-garrett.bib;
https://www.math.utah.edu/pub/tex/bib/histmath.bib",
URL = "http://www.sciencedirect.com/science/article/pii/0315086075900993",
acknowledgement = ack-nhfb,
author-dates = "Garrett Birkhoff (19 January 1911--22 November 1996)",
fjournal = "Historia Mathematica",
journal-URL = "http://www.sciencedirect.com/science/journal/03150860/",
subject-dates = "Garrett Birkhoff (19 January 1911--22 November
1996)",
}
@Article{Birkhoff:1975:B,
author = "Garrett Birkhoff and Sue Ann Garwood",
title = "Bibliographies",
journal = j-HIST-MATH,
volume = "2",
number = "4",
pages = "605--615",
month = nov,
year = "1975",
CODEN = "HIMADS",
DOI = "https://doi.org/10.1016/0315-0860(75)90130-5",
ISSN = "0315-0860 (print), 1090-249X (electronic)",
ISSN-L = "0315-0860",
MRclass = "01-01 (00A15)",
MRnumber = "472305",
bibdate = "Wed Jun 26 06:16:33 MDT 2013",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/birkhoff-garrett.bib;
https://www.math.utah.edu/pub/tex/bib/histmath.bib",
URL = "http://www.sciencedirect.com/science/article/pii/0315086075901305",
acknowledgement = ack-nhfb,
author-dates = "Garrett Birkhoff (19 January 1911--22 November 1996)",
fjournal = "Historia Mathematica",
journal-URL = "http://www.sciencedirect.com/science/journal/03150860",
}
@TechReport{Birkhoff:1975:FRS,
author = "Garrett Birkhoff",
title = "Final report [on solving the multigroup diffusion
equations]",
institution = "Office of Scientific and Technical Information
({OSTI})",
address = "Washington, DC, USA",
pages = "5",
month = jan,
year = "1975",
DOI = "https://doi.org/10.2172/4110081",
bibdate = "Sat Nov 04 07:17:44 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/birkhoff-garrett.bib",
URL = "https://www.osti.gov/servlets/purl/4110081",
abstract = "Progress achieved in the development of variational
methods for solving the multigroup neutron diffusion
equations is described. An appraisal is made of the
extent to which improved variational methods could
advantageously replace difference methods currently
used.",
acknowledgement = ack-nhfb,
author-dates = "Garrett Birkhoff (19 January 1911--22 November 1996)",
}
@InProceedings{Birkhoff:1975:GTO,
author = "Garrett Birkhoff and Leon Kotin",
booktitle = "Transactions of the {20th Conference on Army
Mathematics, Natick, Mass. 1974}",
title = "The geometry of third-order positive cyclic systems of
linear differential equations",
publisher = "????",
address = "????",
pages = "97--112",
year = "1975",
MRclass = "34C10 34A30",
bibdate = "Sun Oct 29 10:49:01 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/birkhoff-garrett.bib",
ZMnumber = "0348.34021",
acknowledgement = ack-nhfb,
author-dates = "Garrett Birkhoff (19 January 1911--22 November 1996)",
ZBmath = "3542806",
}
@Article{Birkhoff:1975:Ia,
author = "Garrett Birkhoff",
title = "Introduction",
journal = j-HIST-MATH,
volume = "2",
number = "4",
pages = "437--438",
month = nov,
year = "1975",
CODEN = "HIMADS",
ISSN = "0315-0860 (print), 1090-249X (electronic)",
ISSN-L = "0315-0860",
bibdate = "Wed Jun 26 06:16:33 MDT 2013",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/birkhoff-garrett.bib;
https://www.math.utah.edu/pub/tex/bib/histmath.bib",
URL = "http://www.sciencedirect.com/science/article/pii/0315086075901007",
acknowledgement = ack-nhfb,
author-dates = "Garrett Birkhoff (19 January 1911--22 November 1996)",
fjournal = "Historia Mathematica",
journal-URL = "http://www.sciencedirect.com/science/journal/03150860/",
}
@Article{Birkhoff:1975:Ib,
author = "Garrett Birkhoff",
title = "Introduction",
journal = j-HIST-MATH,
volume = "2",
number = "4",
pages = "473--474",
month = nov,
year = "1975",
CODEN = "HIMADS",
ISSN = "0315-0860 (print), 1090-249X (electronic)",
ISSN-L = "0315-0860",
bibdate = "Wed Jun 26 06:16:33 MDT 2013",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/birkhoff-garrett.bib;
https://www.math.utah.edu/pub/tex/bib/histmath.bib",
URL = "http://www.sciencedirect.com/science/article/pii/0315086075901081",
acknowledgement = ack-nhfb,
author-dates = "Garrett Birkhoff (19 January 1911--22 November 1996)",
fjournal = "Historia Mathematica",
journal-URL = "http://www.sciencedirect.com/science/journal/03150860/",
}
@Article{Birkhoff:1975:Ic,
author = "Garrett Birkhoff",
title = "Introduction",
journal = j-HIST-MATH,
volume = "2",
number = "4",
pages = "503--505",
month = nov,
year = "1975",
CODEN = "HIMADS",
ISSN = "0315-0860 (print), 1090-249X (electronic)",
ISSN-L = "0315-0860",
bibdate = "Wed Jun 26 06:16:33 MDT 2013",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/birkhoff-garrett.bib;
https://www.math.utah.edu/pub/tex/bib/histmath.bib",
URL = "http://www.sciencedirect.com/science/article/pii/0315086075901123",
acknowledgement = ack-nhfb,
author-dates = "Garrett Birkhoff (19 January 1911--22 November 1996)",
fjournal = "Historia Mathematica",
journal-URL = "http://www.sciencedirect.com/science/journal/03150860/",
}
@Article{Birkhoff:1975:Id,
author = "Garrett Birkhoff",
title = "Introduction",
journal = j-HIST-MATH,
volume = "2",
number = "4",
pages = "535--536",
month = nov,
year = "1975",
CODEN = "HIMADS",
ISSN = "0315-0860 (print), 1090-249X (electronic)",
ISSN-L = "0315-0860",
bibdate = "Wed Jun 26 06:16:33 MDT 2013",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/birkhoff-garrett.bib;
https://www.math.utah.edu/pub/tex/bib/histmath.bib",
URL = "http://www.sciencedirect.com/science/article/pii/0315086075901172",
acknowledgement = ack-nhfb,
author-dates = "Garrett Birkhoff (19 January 1911--22 November 1996)",
fjournal = "Historia Mathematica",
journal-URL = "http://www.sciencedirect.com/science/journal/03150860/",
}
@Article{Birkhoff:1975:Ie,
author = "Garrett Birkhoff",
title = "Introduction",
journal = j-HIST-MATH,
volume = "2",
number = "4",
pages = "573--574",
month = nov,
year = "1975",
CODEN = "HIMADS",
ISSN = "0315-0860 (print), 1090-249X (electronic)",
ISSN-L = "0315-0860",
bibdate = "Wed Jun 26 06:16:33 MDT 2013",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/birkhoff-garrett.bib;
https://www.math.utah.edu/pub/tex/bib/histmath.bib",
URL = "http://www.sciencedirect.com/science/article/pii/0315086075901238",
acknowledgement = ack-nhfb,
author-dates = "Garrett Birkhoff (19 January 1911--22 November 1996)",
fjournal = "Historia Mathematica",
journal-URL = "http://www.sciencedirect.com/science/journal/03150860/",
}
@Article{Birkhoff:1975:MCS,
author = "Garrett Birkhoff",
title = "Mathematics and Computer Science: Skillful
combinations of mathematics and computer science hold
great promise for the future",
journal = j-AM-SCI,
volume = "63",
number = "1",
pages = "83--91",
month = jan # "\slash " # feb,
year = "1975",
CODEN = "AMSCAC",
ISSN = "0003-0996 (print), 1545-2786 (electronic)",
ISSN-L = "0003-0996",
bibdate = "Wed Nov 01 07:54:48 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/birkhoff-garrett.bib",
URL = "https://www.jstor.org/stable/27845273",
acknowledgement = ack-nhfb,
author-dates = "Garrett Birkhoff (19 January 1911--22 November 1996)",
fjournal = "American Scientist",
journal-URL = "http://www.americanscientist.org/issues/past.aspx;
https://www.jstor.org/journal/amerscie",
remark = "Journal Web site has no coverage before 1998.",
}
@InProceedings{Birkhoff:1975:NSHa,
author = "Garrett Birkhoff and Vassilios A. Dougalis",
editor = "R. Vichnevetsky",
booktitle = "Advances in computer methods for partial differential
equations: proceedings of the {AICA International
Symposium on Computer Methods for Partial Differential
Equations, held at Lehigh University, Bethlehem,
Pennsylvania, U.S.A., June 17--19, 1975}",
title = "Numerical Solution of Hydrodynamic Problems",
publisher = "AICA",
address = "New Brunswick, NJ, USA",
bookpages = "vii + 402",
pages = "7--13",
year = "1975",
LCCN = "QA377 .A2 1975",
bibdate = "Wed Nov 01 08:00:39 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/birkhoff-garrett.bib",
acknowledgement = ack-nhfb,
author-dates = "Garrett Birkhoff (19 January 1911--22 November 1996)",
GB-number = "177",
xxbooktitle = "Proceedings of the {AICA} International Symposium on
Computer Methods",
}
@Article{Birkhoff:1975:NSHb,
author = "Garrett Birkhoff and Vassilios A. Dougalis",
title = "Numerical solution of hydrodynamic problems",
journal = "AICA",
volume = "17",
pages = "88--94",
year = "1975",
CODEN = "AAICAE",
ISSN = "0020-594X",
ISSN-L = "0020-594X",
MRclass = "76Q05 76B15 65N06 65N12",
bibdate = "Sun Oct 29 10:49:01 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/birkhoff-garrett.bib",
ZMnumber = "0316.76048",
acknowledgement = ack-nhfb,
author-dates = "Garrett Birkhoff (19 January 1911--22 November 1996)",
fjournal = "AICA. Annales de l'Association Internationale pour le
Calcul Analogique et de Simulation Hybrides",
ZBmath = "3495788",
}
@Article{Birkhoff:1975:P,
author = "Garrett Birkhoff and Sue Ann Garwood",
title = "Preface",
journal = j-HIST-MATH,
volume = "2",
number = "4",
pages = "429--430",
month = nov,
year = "1975",
CODEN = "HIMADS",
ISSN = "0315-0860 (print), 1090-249X (electronic)",
ISSN-L = "0315-0860",
bibdate = "Wed Jun 26 06:16:33 MDT 2013",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/birkhoff-garrett.bib;
https://www.math.utah.edu/pub/tex/bib/histmath.bib",
URL = "http://www.sciencedirect.com/science/article/pii/031508607590097X",
acknowledgement = ack-nhfb,
author-dates = "Garrett Birkhoff (19 January 1911--22 November 1996)",
fjournal = "Historia Mathematica",
journal-URL = "http://www.sciencedirect.com/science/journal/03150860/",
}
@Article{Birkhoff:1975:THN,
author = "Garrett Birkhoff",
title = "Two {Hadamard} numbers for matrices",
journal = j-CACM,
volume = "18",
number = "1",
pages = "25--29",
month = jan,
year = "1975",
CODEN = "CACMA2",
DOI = "https://doi.org/10.1145/360569.360655",
ISSN = "0001-0782 (print), 1557-7317 (electronic)",
ISSN-L = "0001-0782",
MRclass = "65F15 65F35 15A12",
MRnumber = "373264",
MRreviewer = "John Todd",
bibdate = "Sun Oct 29 10:49:01 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/birkhoff-garrett.bib;
https://www.math.utah.edu/pub/tex/bib/cacm1970.bib",
note = "Collection of articles honoring Alston S.
Householder",
ZMnumber = "0304.65026",
acknowledgement = ack-nhfb,
author-dates = "Garrett Birkhoff (19 January 1911--22 November 1996)",
fjournal = "Communications of the Association for Computing
Machinery",
GB-number = "175",
journal-URL = "http://dl.acm.org/pub.cfm?id=J782",
ZBmath = "3476475",
}
@Book{Hooker:1975:LAA,
editor = "C. A. Hooker",
title = "The logico-algebraic approach to quantum mechanics.
{Vol}. {I}: {Historical} evolution",
volume = "5",
publisher = "D. Reidel Publishing Company, Dordrecht",
year = "1975",
ISSN = "1566-659X",
MRclass = "03G12 03-06 03-03 81Pxx 81-06 81-03 81-02 01A60 01A75
03-02",
bibdate = "Sun Oct 29 10:49:01 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/birkhoff-garrett.bib",
series = "Univ. West. Ont. Ser. Philos. Sci.",
ZMnumber = "0429.03045",
acknowledgement = ack-nhfb,
author-dates = "Garrett Birkhoff (19 January 1911--22 November 1996)",
fseries = "The University of Western Ontario Series in Philosophy
of Science",
ZBmath = "3668602",
}
@Article{Birkhoff:1976:AFD,
author = "Garrett Birkhoff and Leon Kotin",
title = "Autonomous families of differential systems",
journal = j-J-MATH-ANAL-APPL,
volume = "55",
number = "2",
pages = "466--475",
month = aug,
year = "1976",
CODEN = "JMANAK",
DOI = "https://doi.org/10.1016/0022-247X(76)90176-1",
ISSN = "0022-247x (print), 1096-0813 (electronic)",
ISSN-L = "0022-247X",
MRclass = "37-XX 34C10 (93C15)",
MRnumber = "499435",
MRreviewer = "E. O. Roxin",
bibdate = "Sun Oct 29 10:49:01 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/birkhoff-garrett.bib",
ZMnumber = "0342.34031",
acknowledgement = ack-nhfb,
author-dates = "Garrett Birkhoff (19 January 1911--22 November 1996)",
fjournal = "Journal of Mathematical Analysis and Applications",
GB-number = "180",
journal-URL = "http://www.sciencedirect.com/science/journal/0022247X",
ZBmath = "3533333",
}
@InProceedings{Birkhoff:1976:CNM,
author = "Garrett Birkhoff and Vassilios A. Dougalis",
editor = "Joanna W. Schot and Nils Salvesen",
booktitle = "Proceedings of the {First International Conference on
Numerical Ship Hydrodynamics, 20--22 October, 1975}",
title = "Comparison of Numerical Methods for Solving Wave
Equations",
publisher = "David W. Taylor Naval Ship Research and Development
Center",
address = "Bethesda, MD, USA",
bookpages = "x + 733",
pages = "231--252",
year = "1976",
LCCN = "VM156 .I568 1975",
bibdate = "Wed Nov 01 08:02:49 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/birkhoff-garrett.bib",
acknowledgement = ack-nhfb,
author-dates = "Garrett Birkhoff (19 January 1911--22 November 1996)",
GB-number = "181",
xxbooktitle = "First International Conference on Numerical Ship
Hydrodynamics, {David Taylor Model Basin}",
xxnote = "Check author order??",
}
@Article{Birkhoff:1976:CTAa,
author = "Garrett Birkhoff",
title = "Current trends in algebra",
journal = j-POKROKY-MAT-FYS-ASTRON,
volume = "21",
number = "4",
pages = "199--211",
year = "1976",
CODEN = "PMFAA4",
ISSN = "0032-2423",
ISSN-L = "0032-2423",
MRclass = "01A65 12-03 20-03 17-03 03-03",
MRnumber = "504993",
bibdate = "Sun Oct 29 10:49:01 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/birkhoff-garrett.bib",
ZMnumber = "0338.01011; 0328.01013",
acknowledgement = ack-nhfb,
ajournal = "Pokroky Mat. Fyz. Astronom.",
author-dates = "Garrett Birkhoff (19 January 1911--22 November 1996)",
fjournal = "Vyd{\'a}v{\'a} Jednota {\v{C}}esk{\'y}ch
Matematik\ocirc{u} a Fyzik\ocirc{u} a Jednota
Slovensk{\'y}ch Matematikov a Fyzikov. Pokroky
Matematiky Fyziky \& Astronomie",
language = "Slovak",
ZBmath = "3528186; 3513729",
}
@Article{Birkhoff:1976:CTAb,
author = "Garrett Birkhoff",
title = "Current trends in algebra",
journal = j-POKROKY-MAT-FYS-ASTRON,
volume = "21",
number = "??",
pages = "249--259",
year = "1976",
CODEN = "PMFAA4",
ISSN = "0032-2423",
ISSN-L = "0032-2423",
MRclass = "01A65 12-03",
bibdate = "Sun Oct 29 10:49:01 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/birkhoff-garrett.bib",
ZMnumber = "0338.01011",
acknowledgement = ack-nhfb,
author-dates = "Garrett Birkhoff (19 January 1911--22 November 1996)",
fjournal = "Pokroky Matematiky, Fyziky \& Astronomie",
language = "Slovak",
ZBmath = "3528186",
}
@Article{Birkhoff:1976:HMA,
author = "Garrett Birkhoff",
title = "House monotone apportionment schemes",
journal = j-PROC-NATL-ACAD-SCI-USA,
volume = "73",
number = "3",
pages = "684--686",
day = "1",
month = mar,
year = "1976",
CODEN = "PNASA6",
DOI = "https://doi.org/10.1073/pnas.73.3.684",
ISSN = "0027-8424 (print), 1091-6490 (electronic)",
ISSN-L = "0027-8424",
MRclass = "90C90 90C10 92D25 92A20",
MRnumber = "403731",
bibdate = "Sun Oct 29 10:49:01 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/birkhoff-garrett.bib",
ZMnumber = "0322.90075",
acknowledgement = ack-nhfb,
author-dates = "Garrett Birkhoff (19 January 1911--22 November 1996)",
fjournal = "Proceedings of the National Academy of Sciences of the
United States of America",
GB-number = "178",
journal-URL = "http://www.pnas.org/content/by/year",
ZBmath = "3504711",
}
@Article{Birkhoff:1976:MP,
author = "Garrett Birkhoff",
title = "Mathematics and psychology",
journal = j-POKROKY-MAT-FYS-ASTRON,
volume = "21",
pages = "1--16",
year = "1976",
CODEN = "PMFAA4",
ISSN = "0032-2423",
ISSN-L = "0032-2423",
MRclass = "91E99",
bibdate = "Sun Oct 29 10:49:01 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/birkhoff-garrett.bib",
ZMnumber = "0315.92018",
acknowledgement = ack-nhfb,
author-dates = "Garrett Birkhoff (19 January 1911--22 November 1996)",
fjournal = "Pokroky Matematiky, Fyziky \& Astronomie",
language = "Czech",
ZBmath = "3494220",
}
@Article{Birkhoff:1976:NUT,
author = "Garrett Birkhoff",
title = "Note on universal topological algebra",
journal = j-ALGEBRA-UNIVERS,
volume = "6",
number = "1",
pages = "21--23",
year = "1976",
DOI = "https://doi.org/10.1007/BF02485812",
ISSN = "0002-5240 (print), 1420-8911 (electronic)",
ISSN-L = "0002-5240",
MRclass = "06B23 06-00 08A05 08A25",
MRnumber = "398949",
bibdate = "Sun Oct 29 10:49:01 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/birkhoff-garrett.bib",
ZMnumber = "0375.06006",
acknowledgement = ack-nhfb,
author-dates = "Garrett Birkhoff (19 January 1911--22 November 1996)",
fjournal = "Algebra Universalis",
GB-number = "179",
journal-URL = "https://www.springer.com/journal/12",
ZBmath = "3583874",
}
@Article{Birkhoff:1976:OSU,
author = "Garrett Birkhoff and Leon Kotin",
title = "The orbit structure of uniformly positive cyclic
systems",
journal = j-J-MATH-ANAL-APPL,
volume = "55",
number = "2",
pages = "476--489",
month = aug,
year = "1976",
CODEN = "JMANAK",
DOI = "https://doi.org/10.1016/0022-247X(76)90177-3",
ISSN = "0022-247x (print), 1096-0813 (electronic)",
ISSN-L = "0022-247X",
MRclass = "37-XX 34A30 34C05 34C10 93A99 (34C25 58F15)",
MRnumber = "490112",
MRreviewer = "Milan Medve\v{d}",
bibdate = "Sun Oct 29 10:49:01 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/birkhoff-garrett.bib",
ZMnumber = "0342.34032",
acknowledgement = ack-nhfb,
author-dates = "Garrett Birkhoff (19 January 1911--22 November 1996)",
fjournal = "Journal of Mathematical Analysis and Applications",
journal-URL = "http://www.sciencedirect.com/science/journal/0022247X",
ZBmath = "3533334",
}
@Article{Birkhoff:1976:PM,
author = "Garret Birkhoff",
title = "Psychology of mathematics",
journal = j-POKROKY-MAT-FYS-ASTRON,
volume = "21",
number = "1",
pages = "1--16",
year = "1976",
CODEN = "PMFAA4",
ISSN = "0032-2423",
ISSN-L = "0032-2423",
MRclass = "00A25 (92A25)",
MRnumber = "484896",
bibdate = "Sun Oct 22 09:59:52 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/birkhoff-garrett.bib",
note = "Translated from the English (SIAM Rev. {\bf 11}
(1969), 429--469).",
acknowledgement = ack-nhfb,
author-dates = "Garrett Birkhoff (19 January 1911--22 November 1996)",
fjournal = "Vyd{\'a}v{\'a} Jednota {\v{C}}esk{\'y}ch
Matematik\ocirc{u} a Fyzik\ocirc{u} a Jednota
Slovensk{\'y}ch Matematikov a Fyzikov. Pokroky
Matematiky Fyziky \& Astronomie",
}
@InCollection{Birkhoff:1976:RMAa,
author = "Garrett Birkhoff",
editor = "Dalton Tarwater",
booktitle = "Men and Institutions in {America}",
title = "The Rise of Modern Algebra to 1936",
volume = "13",
publisher = "Texas Technological University",
address = "Lubbock, TX, USA",
pages = "41--63",
year = "1976",
bibdate = "Wed Nov 01 08:05:05 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/birkhoff-garrett.bib",
series = "Texas Tech. Graduate Studies",
acknowledgement = ack-nhfb,
author-dates = "Garrett Birkhoff (19 January 1911--22 November 1996)",
GB-number = "182a",
}
@InCollection{Birkhoff:1976:RMAb,
author = "Garrett Birkhoff",
editor = "Dalton Tarwater",
booktitle = "Men and Institutions in {America}",
title = "The Rise of Modern Algebra, 1936--1950",
volume = "13",
publisher = "Texas Technological University",
address = "Lubbock, TX, USA",
pages = "65--85",
year = "1976",
bibdate = "Wed Nov 01 08:05:05 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/birkhoff-garrett.bib",
series = "Texas Tech. Graduate Studies",
acknowledgement = ack-nhfb,
author-dates = "Garrett Birkhoff (19 January 1911--22 November 1996)",
GB-number = "182b",
}
@Book{MacLane:1976:ASD,
author = "S. {Mac Lane} and G. Birkhoff",
title = "Alg{\`e}bre",
publisher = pub-GAUTHIER-VILLARS,
address = pub-GAUTHIER-VILLARS:adr,
pages = "184",
year = "1976",
MRclass = "20-01 12-01 15-01 11R32 20F99 20K99 20H99",
bibdate = "Sun Oct 29 10:49:01 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/birkhoff-garrett.bib",
note = "Solutions d{\'e}velopp{\'e}es des exercices par
Charles DeLorme, Alain Mezard, Christine Lavit,
Jean-Claude Raoult. 3e partie: Les grands
th{\'e}oremes.",
ZMnumber = "0346.20001",
acknowledgement = ack-nhfb,
author-dates = "Garrett Birkhoff (19 January 1911--22 November 1996);
Saunders Mac Lane (1909--2005)",
language = "French",
ZBmath = "3539418",
}
@Book{Birkgoff:1977:CMP,
author = "Garret Birkgoff",
title = "{{\cyr Matematika i psikhologiya}}",
publisher = "Izdat. ``Sovetskoe Radio''",
address = "Moscow, USSR",
pages = "96",
year = "1977",
MRclass = "92A25",
MRnumber = "469346",
bibdate = "Sun Oct 22 09:59:52 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/birkhoff-garrett.bib",
note = "Translated from the English by G. N. Povarov",
acknowledgement = ack-nhfb,
author-dates = "Garrett Birkhoff (19 January 1911--22 November 1996)",
}
@InCollection{Birkhoff:1977:AMF,
author = "Garrett Birkhoff",
editor = "Edward Teller and Robb W. Thomson",
booktitle = "Science and Technology in {America}: an Assessment",
title = "Applied Mathematics and its Future",
volume = "465",
publisher = pub-NBS,
address = pub-NBS:adr,
bookpages = "vi + 162",
pages = "82--104",
year = "1977",
CODEN = "XNBSAV",
bibdate = "Wed Nov 01 08:06:28 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/birkhoff-garrett.bib;
https://www.math.utah.edu/pub/bibnet/authors/t/teller-edward.bib",
note = "The Distinguished Lecture Series published on the
occasion of the 75th Anniversary of the National Bureau
of Standards.",
series = "National Bureau of Standards Special Publication",
acknowledgement = ack-nhfb,
author-dates = "Garrett Birkhoff (19 January 1911--22 November 1996)",
GB-number = "183",
}
@Article{Birkhoff:1977:BRA,
author = "Garrett Birkhoff",
title = "Book Review: {{\booktitle{Adventures of a
mathematician}}: By S. M. Ulam. New York (Scribners).
1976. 317 pp. \$17.50}",
journal = j-HIST-MATH,
volume = "4",
number = "2",
pages = "233--236",
month = may,
year = "1977",
CODEN = "HIMADS",
ISSN = "0315-0860 (print), 1090-249X (electronic)",
ISSN-L = "0315-0860",
bibdate = "Wed Jun 26 06:16:45 MDT 2013",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/birkhoff-garrett.bib;
https://www.math.utah.edu/pub/tex/bib/histmath.bib",
URL = "http://www.sciencedirect.com/science/article/pii/0315086077901318",
acknowledgement = ack-nhfb,
author-dates = "Garrett Birkhoff (19 January 1911--22 November 1996)",
fjournal = "Historia Mathematica",
journal-URL = "http://www.sciencedirect.com/science/journal/03150860/",
}
@InProceedings{Birkhoff:1977:SLA,
author = "Garrett Birkhoff",
title = "Some Leaders in {American} Mathematics",
crossref = "Tarwater:1977:BTA",
pages = "25--78",
year = "1977",
bibdate = "Wed Nov 01 08:20:15 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/birkhoff-garrett.bib;
https://www.math.utah.edu/pub/bibnet/authors/v/von-neumann-john.bib",
acknowledgement = ack-nhfb,
author-dates = "Garrett Birkhoff (19 January 1911--22 November 1996)",
GB-number = "185",
remark = "John von Neuman has several mentions, particularly on
pages 65--67.",
subject-dates = "Neumann J{\'a}nos (1903-1957)",
}
@Book{Birkhoff:1977:SMA,
author = "Garrett Birkhoff and Saunders {Mac Lane}",
title = "A Survey of Modern Algebra",
publisher = pub-MACMILLAN,
address = pub-MACMILLAN:adr,
edition = "Fourth",
pages = "xi + 500",
year = "1977",
ISBN = "0-02-310070-2",
ISBN-13 = "978-0-02-310070-3",
LCCN = "QA162 .B57 1977",
MRclass = "00A05 13-01 12-01 03-01 15-01 16-01",
bibdate = "Sun Oct 29 06:02:57 MDT 2023",
bibsource = "fsz3950.oclc.org:210/WorldCat;
https://www.math.utah.edu/pub/bibnet/authors/b/birkhoff-garrett.bib",
ZMnumber = "0365.00006",
acknowledgement = ack-nhfb,
author-dates = "Garrett Birkhoff (19 January 1911--22 November 1996);
Saunders Mac Lane (1909--2005)",
shorttableofcontents = "1: The integers \\
2: Rational numbers and fields \\
3: Polynomials \\
4: Real numbers \\
5: Complex numbers \\
6: Groups \\
7: Vectors and vector spaces \\
8: The algebra of matrices \\
9: Linear group \\
10: Determinants and canonical forms \\
11: Boolean algebras and lattices \\
12: Transfinite arithmetic \\
13: Rings and ideals \\
14: Algebraic number fields \\
15: Galois theory \\
Bibliography \\
List of Special Symbols \\
Index",
tableofcontents = "Preface to the Fourth Edition / v \\
\\
1: The Integers / 1 \\
1.1 Commutative Rings; Integral Domains / 1 \\
1.2 Elementary Properties of Commutative Rings / 3 \\
1.3 Ordered Domains / 8 \\
1.4 Well-Ordering Principle / 11 \\
1.5 Finite Induction; Laws of Exponents / 12 \\
1.6 Divisibility / 16 \\
1.7 The Euclidean Algorithm / 18 \\
1.8 Fundamental Theorem of Arithmetic / 23 \\
1.9 Congruences / 25 \\
1.10 The Rings $Z_n$ / 29 \\
1.11 Sets, Functions, and Relations / 32 \\
1.12 Isomorphisms and Automorphisms / 35 \\
\\
2: Rational Numbers and Fields / 38 \\
2.1 Definition of a Field / 38 \\
2.2 Construction of the Rationals / 42 \\
2.3 Simultaneous Linear Equations / 47 \\
2.4 Ordered Fields / 52 \\
2.5 Postulates for the Positive Integers / 54 \\
2.6 Peano Postulates / 57 \\
\\
3: Polynomials / 61 \\
3.1 Polynomial Forms / 61 \\
3.2 Polynomial Functions / 65 \\
3.3 Homomorphisms of Commutative Rings / 69 \\
3.4 Polynomials in Several Variables / 72 \\
3.5 The Division Algorithm / 74 \\
3.6 Units and Associates / 76 \\
3.7 Irreducibie Polynomials / 78 \\
3.8 Unique Factorization Theorem / 80 \\
3.9 Other Domains with Unique Factorization / 84 \\
3.10 Eisenstein s Irreducibility Criterion / 88 \\
3.11 Partial Fractions / 90 \\
\\
4: Real Numbers / 94 \\
4.1 Dilemma of Pythagoras / 94 \\
4.2 Upper and Lower Bounds / 96 \\
4.3 Postulates for Real Numbers / 98 \\
4.4 Roots of Polynomial Equations / 101 \\
4.5 Dedekind Cuts / 104 \\
\\
5: Complex Numbers / 107 \\
5.1 Definition / 107 \\
5.2 The Complex Plane / 110 \\
5.3 Fundamental Theorem of Algebra / 113 \\
5.4 Conjugate Numbers and Real Polynomials / 117 \\
5.6 Quadratic and Cubic Equations / 118 \\
5.6 Solution of Quartic by Radicals / 121 \\
5.7 Equations of Stable Type / 122 \\
\\
6: Groups / 124 \\
6.1 Symmetries of the Square / 124 \\
6.2 Groups of Transformations / 126 \\
6.3 Further Examples / 131 \\
6.4 Abstract Groups / 133 \\
6.5 Isomorphism / 137 \\
6.6 Cyclic Groups / 140 \\
6.7 Subgroups / 143 \\
6.8 Lagrange s Theorem / 146 \\
6.9 Permutation Groups / 150 \\
6.10 Even and Odd Permutations / 153 \\
6.11 Homomorphisms / 1556 \\
6.12 Automorphisms; Conjugate Elements / 157 \\
6.13 Quotient Groups / 161 \\
6.14 Equivalence and Congruence Relations / 164 \\
\\
7: Vectors and Vector Spaces / 168 \\
7.1 Vectors in a Plane / 168 \\
7.2 Generalizations / 169 \\
7.3 Vector Spaces and Subspaces / 171 \\
7.4 Linear Independence and Dimension / 176 \\
7.5 Matrices and Row-equivalence / 180 \\
7.6 Tests for Linear Dependence / 183 \\
1.7 Vector Equations; Homogeneous Equations / 188 \\
7.8 Bases and Coordinate Systems / 193 \\
7.9 Inner Products / 198 \\
7.10 Euclidean Vector Spaces / 200 \\
7.11 Normal Orthogonal Bases / 203 \\
7.12 Quotient-spaces / 206 \\
7.13 Linear Functions and Dual Spaces / 208 \\
\\
8: The Algebra of Matrices / 214 \\
8.1 Linear Transformations and Matrices / 214 \\
8.2 Matrix Addition / 220 \\
8.3 Matrix Multiplication / 222 \\
8.4 Diagonal, Permutation, and Triangular Matrices /
228 \\
8.5 Rectangular Matrices / 230 \\
8.6 Inverses / 235 \\
8.7 Rank and Nullity / 241 \\
8.8 Elementary Matrices / 243 \\
8.9 Equivalence and Canonical Form / 248 \\
8.10 Bilinear Functions and Tensor Products / 251 \\
8.11 Quaternions / 255 \\
\\
9: Linear Groups / 260 \\
9.1 Change of Basis / 260 \\
9.2 Similar Matrices and Eigenvectors / 263 \\
9.3 The Full Linear and Affine Groups / 268 \\
9.4 The Orthogonal and Euclidean Groups / 272 \\
9.5 Invariants and Canonical Forms / 277 \\
9.6 Linear and Bilinear Forms / 280 \\
9.7 Quadratic Forms / 283 \\
9.8 Quadratic Forms Under the Full Linear Group / 286
\\
9.9 Real Quadratic Forms Under the Full Linear Group /
288 \\
9.10 Quadratic Forms Under the Orthogonal Group / 292
\\
9.11 Quadrics Under the Affine and Euclidean Groups /
296 \\
9.12 Unitary and Hermitian Matrices / 300 \\
9.13 Affine Geometry / 305 \\
9.14 Projective Geometry / 312 \\
\\
10: Determinants and Canonical Forms / 318 \\
10.1 Definition and Elementary Properties of
Determinants / 318 \\
10.2 Products of Determinants / 323 \\
10.3 Determinants as Volumes / 327 \\
10.4 The Characteristic Polynomial / 331 \\
10.5 The Minimal Polynomial / 336 \\
10.6 Cayley -Hamilton Theorem / 340 \\
10.7 Invariant Subspaces and Reducibility / 342 \\
10.8 First Decomposition Theorem / 346 \\
10.9 Second Decomposition Theorem / 349 \\
10.10 Rational and Jordan Canonical Forms / 352 \\
\\
11: Boolean Algebras and Lattices / 357 \\
11.1 Basic Definition / 357 \\
11.2 Laws: Analogy with Arithmetic / 359 \\
11.3 Boolean Algebra / 361 \\
11.4 Deduction of Other Basic Laws / 364 \\
11.6 Canonical Forms of Boolean Polynomials / 368 \\
11.6 Partial Orderings / 371 \\
11.7 Lattices / 374 \\
11.8 Representation by Sets / 377 \\
\\
12: Transfinite Arithmetic / 381 \\
12.1 Numbers and Sets / 381 \\
12.2 Countable Sets / 383 \\
12.3 Other Cardinal Numbers / 386 \\
12.4 Addition and Multiplication of Cardinals / 390 \\
12.5 Exponentiation / 392 \\
\\
13: Rings and Ideals / 395 \\
13.1 Rings / 395 \\
13.2 Homomorphisms / 399 \\
13.3 Quotient-rings / 403 \\
13.4 Algebra of Ideals / 407 \\
13.5 Polynomial Ideals / 410 \\
13.6 Ideals in Linear Algebras / 413 \\
13.7 The Characteristic of a Ring / 415 \\
13.8 Characteristics of Fields / 418 \\
\\
14: Algebraic Number Fields / 420 \\
14.1 Algebraic and Transcendental Extensions / 420 \\
14.2 Elements Algebraic over a Field / 423 \\
14.3 Adjunction of Roots / 425 \\
14.4 Degrees and Finite Extensions / 429 \\
14.5 Iterated Algebraic Extensions / 431 \\
14.6 Algebraic Numbers / 435 \\
14.7 Gaussian Integers / 439 \\
14.8 Algebraic Integers / 443 \\
14.9 Sums and Products of Integers / 445 \\
14.10 Factorization of Quadratic integers / 448 \\
\\
15: Galois Theory / 452 \\
15.1 Root Fields for Equations / 452 \\
15.2 Uniqueness Theorem / 454 \\
15.3 Finite Fields / 456 \\
15.4 The Galois Group / 459 \\
15.5 Separable and Inseparable Polynomials / 464 \\
15.6 Properties of the Galois Group / 467 \\
15.7 Subgroups and Subfields / 471 \\
15.8 Irreducible Cubic Equations / 474 \\
15.9 Insolvability of Quintic Equations / 478 \\
\\
Bibliography / 483 \\
\\
List of Special Symbols / 486 \\
\\
Index / 489",
ZBmath = "3568615",
}
@Article{Birkhoff:1978:BRH,
author = "Garrett Birkhoff",
title = "Book Review: {{\booktitle{A History of Numerical
Analysis from the 16th Through the 19th Century}}, by
Herman H. Goldstine}",
journal = j-HIST-MATH,
volume = "5",
number = "4",
pages = "479--482",
month = nov,
year = "1978",
CODEN = "HIMADS",
DOI = "https://doi.org/10.1016/0315-0860(78)90226-4",
ISSN = "0315-0860 (print), 1090-249X (electronic)",
ISSN-L = "0315-0860",
bibdate = "Wed Jun 26 06:17:00 MDT 2013",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/birkhoff-garrett.bib;
https://www.math.utah.edu/pub/tex/bib/histmath.bib",
URL = "http://www.sciencedirect.com/science/article/pii/0315086078902264",
acknowledgement = ack-nhfb,
author-dates = "Garrett Birkhoff (19 January 1911--22 November 1996)",
fjournal = "Historia Mathematica",
GB-number = "184",
journal-URL = "http://www.sciencedirect.com/science/journal/03150860/",
}
@Book{Birkhoff:1978:ODE,
author = "Garrett Birkhoff and Gian-Carlo Rota",
title = "Ordinary Differential Equations",
publisher = pub-WILEY,
address = pub-WILEY:adr,
edition = "Third",
pages = "xi + 342",
year = "1978",
ISBN = "0-471-07411-X",
ISBN-13 = "978-0-471-07411-3",
MRclass = "34-01 34A30 34A12 34A45 65J99 34L99",
MRnumber = "507190",
bibdate = "Sun Oct 22 09:59:52 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/birkhoff-garrett.bib",
ZMnumber = "0377.34001",
acknowledgement = ack-nhfb,
author-dates = "Garrett Birkhoff (19 January 1911--22 November 1996)",
shorttableofcontents = "1: First-Order Differential Equations \\
2: Second-Order Linear Equations \\
3: Linear Equations with Constant Coefficients \\
4: Power Series Solutions \\
5: Plane Autonomous Systems \\
6: Existence and Uniqueness Theorems \\
7: Approximate Solutions \\
8: Efficient Numerical Integration \\
9: Regular Singular Points \\
10: Sturm--Liouville Systems \\
11: Expansions in Eigenfunctions \\
Appendix A: Linear Systems \\
Appendix B: Numerical Integration in BASIC \\
Bibliography \\
Index",
tableofcontents = "1: First-Order Differential Equations 1 \\
Introduction / 1 \\
2 Fundamental theorem of the calculus / 3 \\
3 First-order linear equations / 7 \\
4 Level curves and quasilinear DE's / 8 \\
5 Separable variables / 11 \\
6 Exact differentials; integrating factors / 12 \\
7 The linear fractional equation / 16 \\
8 Graphical integration / 17 \\
*9 Regular and normal curve families / 20 \\
10 Initial value problems / 21 \\
11 Uniqueness and continuity / 23 \\
12 The comparison theorem / 26 \\
\\
2 Second-Order Linear Equations \\
1 Initial value problem / 29 \\
2 Constant coefficient case / 32 \\
3 Uniqueness theorem; Wronskian / 33 \\
4 Separation and comparison theorems / 38 \\
*5 Poincar{\'e} phase plane / 40 \\
6 Adjoint operators / 42 \\
7 Lagrange identity / 44 \\
8 Green's functions / 46 \\
9 Variation of parameters / 48 \\
*10 Two-endpoint problems / 51 \\
*11 Green's functions / 52 \\
\\
3 Linear Equations with Constant Coefficients \\
1 The characteristic polynomial / 58 \\
2 Real and complex solutions / 60 \\
3 Linearly independent solutions / 62 \\
4 Solution bases / 63 \\
5 Stability / 66 \\
6 Inhomogeneous equations / 68 \\
7 The transfer function / 70 \\
*8 The Nyquist diagram / 73 \\
9 The Green's function / 75 \\
\\
4 Power Series Solutions \\
1 Introduction / 81 \\
2 Method of undetermined coefficients / 82 \\
*3 Sine and cosine functions / 85 \\
*4 Bessel functions / 88 \\
5 Analytic functions / 92 \\
6 Method of majorants / 94 \\
7 First-order nonlinear differential equations / 96 \\
8 Undetermined coefficients / 98 \\
*9 Radius of convergence / 100 \\
*10 Method of majorants, IT / 101 \\
*11 Complex solutions / 103 \\
\\
5 Plane Autonomous Systems \\
1 Autonomous systems / 106 \\
2 Plane autonomous systems / 108 \\
3 Poincar{\'e} phase plane / 111 \\
4 Linear autonomous systems / 114 \\
9 Equivalent systems / 116 \\
6 Linear equivalence / 117 \\
7 Stability / 121 \\
8 Focal, nodal, and saddle points / 124 \\
9 Method of Liapunov / 127 \\
10 Undamped nonlinear oscillations / 129 \\
11 Soft and hard springs / 130 \\
12 Damped nonlinear oscillations / 133 \\
*13 Limit cycles / 134 \\
\\
6 Existence and Uniqueness Theorems \\
1 Introduction / 139 \\
2 Lipschitz condition / 140 \\
3 Well-set problems / 142 \\
4 Continuity / 145 \\
*5 Normal systems / 147 \\
6 Equivalent integral equation / 151 \\
7 Successive approximation / 152 \\
8 Linear systems / 155 \\
9 Local existence theorem / 157 \\
*10 Analytic equations / 158 \\
11 Continuation of solutions / 161 \\
*12 The perturbation equation / 163 \\
13 Plane autonomous systems / 165 \\
*14 The Peano existence theorem / 166 \\
\\
7 Approximate Solutions \\
Introduction / 170 \\
2 Cauchy polygons / 171 \\
3 Error bound / 174 \\
4 Sharper results / 176 \\
5 Midpoint quadrature / 177 \\
6 Trapezoidal quadrature / 181 \\
7 Trapezoidal integration / 183 \\
8 Order of accuracy / 185 \\
9 The improved Euler method / 187 \\
10 The modified Euler method / 189 \\
*11 The cumulative error / 190 \\
\\
8 Efficient Numerical Integration \\
1 Introduction / 194 \\
2 Difference operators / 195 \\
3 Characteristic equation; stability / 196 \\
4 Polynomial interpolation / 198 \\
5 The interpolation error / 200 \\
6 Numerical differentiation / 202 \\
7 Roundoff errors / 204 \\
8 Milne's method / 206 \\
9 Higher-order quadrature / 208 \\
*10 Gaussian quadrature / 211 \\
11 Multistep Methods / 213 \\
12 Richardson Extrapolation / 214 \\
13 Local power series / 217 \\
14 The Runge--Kutta method / 217 \\
\\
9 Regular Singular Points \\
The Continuation principle / 222 \\
*2 Movable singular points / 224 \\
3 First-order equations / 225 \\
4 Circuit matrix / 228 \\
5 Canonical bases / 230 \\
6 Regular singular points / 233 \\
7 Bessel equation / 235 \\
8 The fundamental theorem / 240 \\
*9 Alternative proof of the fundamental theorem / 243
\\
*10 Hypergeometric functions / 245 \\
*11 The Jacobi polynomials / 246 \\
*12 Singular points at infinity / 249 \\
*13 Fuchsian equations / 251 \\
\\
10 Sturm--Liouville Systems \\
1 Sturm--Liouville systems / 256 \\
2 Sturm--Liouville series / 257 \\
*3 Physical interpretations / 260 \\
4 Singular systems / 263 \\
3 Pr{\"u}fer substitution / 266 \\
6 The Sturm comparison theorem / 267 \\
7 The oscillation theorem / 269 \\
8 The sequence of eigenfunctions / 272 \\
9 The Liouville normal form / 274 \\
100 Modified Pr{\"u}fer substitution / 276 \\
*11 The asymptotic behavior of Bessel functions / 279
\\
12 Distribution of eigenvalues / 280 \\
13 Normalized eigenfunctions / 282 \\
14 Inhomogeneous equations / 285 \\
15 Green's functions / 286 \\
*16 The Schroedinger equation / 287 \\
*17 The square-well potential / 289 \\
*18 Mixed spectrum / 290 \\
\\
11 Expansions in Eigenfunctions \\
1 Fourier series / 295 \\
2 Orthogonal expansions / 297 \\
3 Mean-square approximation / 298 \\
4 Completeness / 300 \\
3 Orthogonal polynomials / 302 \\
*6 Properties of orthogonal polynomials / 304 \\
*7 Chebyshev polynomials / 308 \\
8 Euclidean vector spaces / 310 \\
9 Completeness of eigenfunctions / 312 \\
*10 Hilbert space / 313 \\
*11 Proof of completeness / 316 \\
\\
Appendix A: Linear Systems \\
1 Matrix norm / 320 \\
2 Constant-coefficient systems / 321 \\
3 The matrizant / 323 \\
4 Floquet theorem; canonical bases / 325 \\
\\
Appendix B: Numerical Integration in BASIC \\
1 Rudiments of BASIC / 327 \\
2 Cauchy polygon method / 328 \\
3 Quadrature programs / 330 \\
4 Improved and modified Euler methods / 331 \\
5 Fourth-order Runge--Kutta / 333 \\
\\
Bibliography / 336 \\
\\
Index / 339",
ZBmath = "3587373",
}
@InProceedings{Birkhoff:1978:STP,
author = "Garrett Birkhoff",
editor = "N. H. Ibragimov and L. V. Ovsjannikov",
booktitle = "Group theoretical methods in mechanics, {Proceedings
of the joint IUTAM\slash IMU Symposium, Novosibirsk
1978}",
title = "Similarity in two-phase fluid flows",
publisher = "????",
address = "????",
pages = "58--78",
year = "1978",
MRclass = "76T99 76-04 22E70",
bibdate = "Sun Oct 29 10:49:01 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/birkhoff-garrett.bib",
ZMnumber = "0441.76083",
acknowledgement = ack-nhfb,
author-dates = "Garrett Birkhoff (19 January 1911--22 November 1996)",
GB-number = "186",
xxpages = "58--79",
ZBmath = "3689057",
}
@InProceedings{Birkhoff:1979:AMI,
author = "Garrett Birkhoff",
editor = "C. V. Coffman and G. J. Fix",
booktitle = "Constructive approaches to mathematical models
{(Proceedings of a Conference in honor of R. J. Duffin,
Pittsburgh, Pa., 1978)}",
title = "The algebra of multivariate interpolation",
publisher = pub-ACADEMIC,
address = pub-ACADEMIC:adr,
pages = "345--363",
year = "1979",
ISBN = "0-12-178150-X",
ISBN-13 = "978-0-12-178150-7",
MRclass = "41A05 (65D05) 41A15 17A99",
MRnumber = "559505",
bibdate = "Sun Oct 22 09:59:52 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/birkhoff-garrett.bib",
ZMnumber = "0463.41001",
acknowledgement = ack-nhfb,
author-dates = "Garrett Birkhoff (19 January 1911--22 November 1996)",
GB-number = "188",
ZBmath = "3724993",
}
@Article{Birkhoff:1979:IDT,
author = "Garrett Birkhoff and Surender Gulati",
title = "Isotropic distributions of test matrices",
journal = j-Z-ANGE-MATH-PHYS,
volume = "30",
number = "2",
pages = "148--158",
year = "1979",
CODEN = "ZAMPDB",
DOI = "https://doi.org/10.1007/BF01601929",
ISSN = "0044-2275 (print), 1420-9039 (electronic)",
ISSN-L = "0044-2275",
MRclass = "65F99 (65G05) 65F35 60B11",
MRnumber = "535975",
MRreviewer = "James E. Gentle",
bibdate = "Sun Oct 29 10:49:01 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/birkhoff-garrett.bib",
ZMnumber = "0397.65029",
acknowledgement = ack-nhfb,
ajournal = "ZAMP. Zeitschrift f{\"u}r angewandte Mathematik und
Physik",
author-dates = "Garrett Birkhoff (19 January 1911--22 November 1996)",
fjournal = "Zeitschrift f{\"u}r Angewandte Mathematik und Physik.
ZAMP. Journal of Applied Mathematics and Physics.
Journal de Math{\'e}matiques et de Physique
Appliqu{\'e}es",
GB-number = "187",
journal-URL = "http://link.springer.com/journal/33",
ZBmath = "3617447",
}
@Book{Birkhoff:1979:LT,
author = "Garrett Birkhoff",
title = "Lattice Theory",
volume = "25",
publisher = pub-AMS,
address = pub-AMS:adr,
edition = "Third",
pages = "vi + 418",
year = "1979",
ISBN = "0-8218-1025-1",
ISBN-13 = "978-0-8218-1025-5",
MRclass = "06-01 (46A40 47B55 54H12)",
MRnumber = "598630",
bibdate = "Sun Oct 22 09:59:52 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/birkhoff-garrett.bib",
series = "American Mathematical Society Colloquium
Publications",
acknowledgement = ack-nhfb,
author-dates = "Garrett Birkhoff (19 January 1911--22 November 1996)",
tableofcontents = "Types of lattices \\
Postulates for lattices \\
Structure and representation theory \\
Geometric lattices \\
Complete lattices \\
Universal algebra \\
Applications to algebra \\
Transfinite induction \\
Applications to general topology \\
Metric and topological lattices \\
Borel algebras and von Neumann lattices \\
Applications to logic and probability \\
Lattice-ordered groups \\
Lattice-ordered monoids \\
Vector lattices \\
Positive linear operators \\
Lattice-ordered rings",
}
@Book{Birkhoff:1979:LTC,
author = "Garrett Birkhoff",
title = "Lattice Theory",
volume = "25",
publisher = pub-AMS,
address = pub-AMS:adr,
edition = "Third (corrected reprint)",
year = "1979",
ISSN = "0065-9258",
MRclass = "06-02",
bibdate = "Sun Oct 29 10:49:01 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/birkhoff-garrett.bib",
series = "Colloq. Publ., Am. Math. Soc.",
ZMnumber = "0505.06001",
acknowledgement = ack-nhfb,
author-dates = "Garrett Birkhoff (19 January 1911--22 November 1996)",
fseries = "Colloquium Publications. American Mathematical
Society",
ZBmath = "3796014",
}
@Article{Birkhoff:1979:RGG,
author = "Garrett Birkhoff",
title = "Review of {G. Gr{\"a}tzer, \booktitle{General Lattice
Theory}}",
journal = j-BULL-AMS,
volume = "1",
number = "??",
pages = "789--92",
month = "????",
year = "1979",
CODEN = "BAMOAD",
ISSN = "0002-9904 (print), 1936-881X (electronic)",
ISSN-L = "0002-9904",
bibdate = "Wed Nov 01 08:25:04 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/birkhoff-garrett.bib",
acknowledgement = ack-nhfb,
author-dates = "Garrett Birkhoff (19 January 1911--22 November 1996)",
fjournal = "Bulletin of the American Mathematical Society",
GB-number = "191a",
journal-URL = "http://www.ams.org/journals/bull/all_issues.html",
}
@Article{Birkhoff:1979:RJD,
author = "Garrett Birkhoff",
title = "Review of {J. Dieudonn{\'e}, \booktitle{Abr{\'e}g{\'e}
d'Histoire des Math{\'e}matiques: 1700--1900}}",
journal = j-ADV-MATH,
volume = "34",
number = "??",
pages = "185--194",
month = "????",
year = "1979",
CODEN = "ADMTA4",
DOI = "",
ISSN = "0001-8708 (print), 1090-2082 (electronic)",
ISSN-L = "0001-8708",
bibdate = "Wed Nov 01 08:23:07 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/birkhoff-garrett.bib",
URL = "",
acknowledgement = ack-nhfb,
author-dates = "Garrett Birkhoff (19 January 1911--22 November 1996)",
fjournal = "Advances in Mathematics",
GB-number = "190",
journal-URL = "http://www.sciencedirect.com/science/journal/00018708",
}
@Article{Birkhoff:1979:RRT,
author = "Garrett Birkhoff",
title = "Review of {Roberto Torretti, \booktitle{Philosophy of
Geometry from Riemann to Poincar{\'e}}, Reidel, 1978}",
journal = j-ADV-MATH,
volume = "34",
number = "??",
pages = "399--400",
month = "????",
year = "1979",
CODEN = "ADMTA4",
DOI = "",
ISSN = "0001-8708 (print), 1090-2082 (electronic)",
ISSN-L = "0001-8708",
bibdate = "Wed Nov 01 08:28:42 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/birkhoff-garrett.bib",
URL = "",
acknowledgement = ack-nhfb,
author-dates = "Garrett Birkhoff (19 January 1911--22 November 1996)",
fjournal = "Advances in Mathematics",
GB-number = "191c",
journal-URL = "http://www.sciencedirect.com/science/journal/00018708",
}
@Book{MacLane:1979:A,
author = "Saunders {Mac Lane} and Garrett Birkhoff",
title = "Algebra",
publisher = pub-MACMILLAN,
address = pub-MACMILLAN:adr,
edition = "Second",
pages = "xv + 586",
year = "1979",
ISBN = "0-02-374310-7",
ISBN-13 = "978-0-02-374310-8",
MRclass = "00A05",
MRnumber = "524398",
bibdate = "Sun Oct 22 09:59:52 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/birkhoff-garrett.bib",
ZMnumber = "0428.00002",
acknowledgement = ack-nhfb,
author-dates = "Garrett Birkhoff (19 January 1911--22 November 1996);
Saunders Mac Lane (1909--2005)",
ZBmath = "3666702",
}
@Article{Birkhoff:1980:AMC,
author = "Garrett Birkhoff and Robert E. Lynch",
title = "Added mass of cylinders",
journal = j-MATH-COMP-SIM,
volume = "22",
number = "4",
pages = "291--297",
year = "1980",
CODEN = "MCSIDR",
DOI = "https://doi.org/10.1016/0378-4754(80)90066-X",
ISSN = "0378-4754 (print), 1872-7166 (electronic)",
ISSN-L = "0378-4754",
MRclass = "76B40 (65N30) 76B99 76M99",
MRnumber = "595985",
MRreviewer = "Mutsuto Kawahara",
bibdate = "Sun Oct 29 10:49:01 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/birkhoff-garrett.bib",
ZMnumber = "0513.76018",
acknowledgement = ack-nhfb,
author-dates = "Garrett Birkhoff (19 January 1911--22 November 1996)",
fjournal = "Mathematics and Computers in Simulation",
GB-number = "189",
journal-URL = "http://www.sciencedirect.com/science/journal/03784754",
ZBmath = "3811143",
}
@Article{Birkhoff:1980:BRC,
author = "Garrett Birkhoff",
title = "Book Review: {{\booktitle{Computational analysis with
the HP 25 pocket calculator}}, by Peter Henrici, John
Wiley, New York, 1977, 280 pp.; \booktitle{Compact
numerical methods for computers: linear algebra and
function minimization}, by J. C. Nash, John Wiley \&
Sons, New York, 1979, x + 227 pp.; \booktitle{LINPACK:
User's guide}, by J. J. Dongarra, J. R. Bunch, C. B.
Moler, and G. W. Stewart, Society for Industrial and
Applied Mathematics, Philadelphia, 1979 368 pp.}",
journal = j-BULL-AMS,
volume = "2",
number = "3",
pages = "503--505",
month = may,
year = "1980",
CODEN = "BAMOAD",
DOI = "https://doi.org/10.1090/S0273-0979-1980-14785-0",
ISSN = "0002-9904 (print), 1936-881X (electronic)",
ISSN-L = "0002-9904",
bibdate = "Wed Nov 01 08:26:39 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/birkhoff-garrett.bib;
https://www.math.utah.edu/pub/bibnet/authors/d/dongarra-jack-j.bib;
https://www.math.utah.edu/pub/bibnet/authors/h/henrici-peter.bib;
https://www.math.utah.edu/pub/bibnet/authors/m/moler-cleve-b.bib;
https://www.math.utah.edu/pub/bibnet/authors/s/stewart-gilbert-w.bib",
URL = "https://www.ams.org/journals/bull/1980-02-03/S0273-0979-1980-14785-0/S0273-0979-1980-14785-0.pdf",
acknowledgement = ack-nhfb,
author-dates = "Garrett Birkhoff (19 January 1911--22 November 1996)",
fjournal = "Bulletin of the American Mathematical Society",
GB-number = "191b",
journal-URL = "http://www.ams.org/journals/bull/all_issues.html",
subject-dates = "Peter Karl Henrici (13 September 1923--13 March
1987)",
}
@Article{Birkhoff:1980:BRE,
author = "Garrett Birkhoff",
title = "Book Review: {{\booktitle{Die entstehung der
verbandsteorie}}: By Herbert Mehrtens. Hildesheim
(Gerstenberg Verlag). 1979. ix + 363 pp. 42 DM}",
journal = j-HIST-MATH,
volume = "7",
number = "4",
pages = "454--457",
month = nov,
year = "1980",
CODEN = "HIMADS",
ISSN = "0315-0860 (print), 1090-249X (electronic)",
ISSN-L = "0315-0860",
bibdate = "Wed Jun 26 06:17:21 MDT 2013",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/birkhoff-garrett.bib;
https://www.math.utah.edu/pub/tex/bib/histmath.bib",
URL = "http://www.sciencedirect.com/science/article/pii/0315086080900154",
acknowledgement = ack-nhfb,
author-dates = "Garrett Birkhoff (19 January 1911--22 November 1996)",
fjournal = "Historia Mathematica",
journal-URL = "http://www.sciencedirect.com/science/journal/03150860/",
}
@InProceedings{Birkhoff:1980:CDS,
author = "Garrett Birkhoff",
title = "Computer developments 1935--1955, as seen from
{Cambridge, U.S.A.}",
crossref = "Metropolis:1980:HCT",
pages = "21--30",
year = "1980",
bibdate = "Wed Nov 01 08:31:21 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/birkhoff-garrett.bib",
acknowledgement = ack-nhfb,
author-dates = "Garrett Birkhoff (19 January 1911--22 November 1996)",
GB-number = "192",
}
@Article{Birkhoff:1980:RBC,
author = "Garrett Birkhoff",
title = "Review of books on computers by {Peter Henrici} and
others",
journal = j-BULL-AMS,
volume = "2",
number = "??",
pages = "503--535",
month = "????",
year = "1980",
CODEN = "BAMOAD",
DOI = "",
ISSN = "0002-9904 (print), 1936-881X (electronic)",
ISSN-L = "0002-9904",
bibdate = "Wed Nov 01 08:26:39 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/birkhoff-garrett.bib;
https://www.math.utah.edu/pub/bibnet/authors/h/henrici-peter.bib",
URL = "",
acknowledgement = ack-nhfb,
author-dates = "Garrett Birkhoff (19 January 1911--22 November 1996)",
fjournal = "Bulletin of the American Mathematical Society",
GB-number = "191b",
journal-URL = "http://www.ams.org/journals/bull/all_issues.html",
}
@Article{Birkhoff:1980:RHM,
author = "Garrett Birkhoff",
title = "Review of {H. Mehrtens, \booktitle{Die Entstelung der
Verbandstheorie}}",
journal = j-HIST-MATH,
volume = "??",
number = "??",
pages = "??--??",
month = "????",
year = "1980",
CODEN = "HIMADS",
ISSN = "0315-0860 (print), 1090-249X (electronic)",
ISSN-L = "0315-0860",
bibdate = "Wed Nov 01 08:29:55 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/birkhoff-garrett.bib",
acknowledgement = ack-nhfb,
author-dates = "Garrett Birkhoff (19 January 1911--22 November 1996)",
fjournal = "Historia Mathematica",
GB-number = "191d",
journal-URL = "http://www.sciencedirect.com/science/journal/03150860",
}
@InProceedings{Birkhoff:1981:SEP,
author = "Garrett Birkhoff",
title = "Solving Elliptic Problems: 1930--1980",
crossref = "Schultz:1981:EPS",
pages = "17--38",
year = "1981",
MRclass = "65-02 (65Nxx) 65Nxx 65-03 35Jxx 01A65 35-03 65Fxx",
MRnumber = "652526",
MRreviewer = "Max D. Gunzburger",
bibdate = "Sun Oct 22 09:59:52 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/birkhoff-garrett.bib",
ZMnumber = "0473.65063",
acknowledgement = ack-nhfb,
author-dates = "Garrett Birkhoff (19 January 1911--22 November 1996)",
GB-number = "193",
ZBmath = "3742545",
}
@Book{Birkhoff:1981:TRR,
author = "Garrett Birkhoff",
title = "{{\cyr Teoriya reshetok}}. ({Russian}) [{Lattice}
theory]",
publisher = "``{Nauka}''",
address = "Moscow, USSR",
pages = "568",
year = "1981",
MRclass = "06-02",
bibdate = "Sun Oct 29 10:49:01 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/birkhoff-garrett.bib",
note = "Translated from the English by V. N. Salij. Edited by
L. A. Skornyakov.",
series = "Glavnaya Redaktsiya Fiziko-Matematicheskoj
Literatury",
ZMnumber = "0537.06001",
acknowledgement = ack-nhfb,
author-dates = "Garrett Birkhoff (19 January 1911--22 November 1996)",
language = "Russian",
ZBmath = "3853149",
}
@InCollection{Birkhoff:1982:GDB,
author = "Garrett Birkhoff",
booktitle = "Selected studies: physics-astrophysics, mathematics,
history of science",
title = "{George D. Birkhoff}'s theory of gravitation",
publisher = pub-NORTH-HOLLAND,
address = pub-NORTH-HOLLAND:adr,
pages = "57--77",
year = "1982",
ISBN = "0-444-86161-0",
ISBN-13 = "978-0-444-86161-0",
MRclass = "01A60 (83-03) 70F15 83A05 83D05 70-03",
MRnumber = "662852",
MRreviewer = "H. Treder",
bibdate = "Sun Oct 22 09:59:52 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/birkhoff-garrett.bib;
https://www.math.utah.edu/pub/tex/bib/einstein.bib",
note = "See \cite{}.",
ZMnumber = "0491.70014",
acknowledgement = ack-nhfb,
author-dates = "Garrett Birkhoff (19 January 1911--22 November 1996)",
GB-number = "195",
remark = "Volume dedicated to Albert Einstein.",
ZBmath = "3773023",
}
@InProceedings{Birkhoff:1982:OSG,
author = "Garrett Birkhoff",
booktitle = "Ordered sets {(Proceedings of the NATO Advanced Study
Institute, Banff, Alta., 1981)}",
title = "Ordered sets in geometry",
volume = "83",
publisher = pub-REIDEL,
address = pub-REIDEL:adr,
pages = "407--443",
year = "1982",
ISBN = "90-277-1396-0",
ISBN-13 = "978-90-277-1396-4",
MRclass = "51D25 (06A15 51-02) 06C20 51G05 51Exx 51M10",
MRnumber = "661302",
MRreviewer = "Ulrich Faigle",
bibdate = "Sun Oct 22 09:59:52 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/birkhoff-garrett.bib",
note = "Appendix by M. K. Bennett on pages 436--443.",
series = "NATO Adv. Study Inst. Ser. C: Math. Phys. Sci.",
ZMnumber = "0492.51010",
acknowledgement = ack-nhfb,
author-dates = "Garrett Birkhoff (19 January 1911--22 November 1996)",
GB-number = "196",
ZBmath = "3774417",
}
@InProceedings{Birkhoff:1982:SAU,
author = "Garrett Birkhoff",
booktitle = "Universal algebra {(Proceedings of the Colloquium of
the Mathematical Society Janos Bolya, Esztergom,
Hungary, 1977)}",
title = "Some applications of universal algebra",
volume = "29",
publisher = pub-NORTH-HOLLAND,
address = pub-NORTH-HOLLAND:adr,
pages = "107--128",
year = "1982",
ISBN = "0-444-85405-3",
ISBN-13 = "978-0-444-85405-6",
MRclass = "03G10 94C10 06D25 08A40 (03G20 08B20 68B99 68C99)",
MRnumber = "660852",
MRreviewer = "H.-J. Hoehnke",
bibdate = "Sun Oct 22 09:59:52 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/birkhoff-garrett.bib",
series = "Colloq. Math. Soc. J{\'a}nos Bolyai",
ZMnumber = "0519.03049",
acknowledgement = ack-nhfb,
author-dates = "Garrett Birkhoff (19 January 1911--22 November 1996)",
GB-number = "194",
ZBmath = "3821729",
}
@Article{Birkhoff:1983:BRB,
author = "Garrett Birkhoff",
title = "Book Review: {{\booktitle{John von Neumann and Norbert
Wiener}}: By Steve Heims. Cambridge, Mass., and London
(M.I.T. Press). 1981}",
journal = j-HIST-MATH,
volume = "10",
number = "2",
pages = "243--248",
month = may,
year = "1983",
CODEN = "HIMADS",
ISSN = "0315-0860 (print), 1090-249X (electronic)",
ISSN-L = "0315-0860",
bibdate = "Wed Jun 26 06:17:39 MDT 2013",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/birkhoff-garrett.bib;
https://www.math.utah.edu/pub/bibnet/authors/v/von-neumann-john.bib;
https://www.math.utah.edu/pub/tex/bib/histmath.bib",
URL = "http://www.sciencedirect.com/science/article/pii/0315086083900745",
acknowledgement = ack-nhfb,
author-dates = "Garrett Birkhoff (19 January 1911--22 November 1996)",
fjournal = "Historia Mathematica",
GB-number = "198",
journal-URL = "http://www.sciencedirect.com/science/journal/03150860",
}
@Article{Birkhoff:1983:BRJ,
author = "Garrett Birkhoff",
title = "Book Review: {{\booktitle{John von Neumann and Norbert
Wiener}}: By Steve Heims. Cambridge, Mass., and London
(M.I.T. Press). 1981}",
journal = j-HIST-MATH,
volume = "10",
number = "2",
pages = "243--248",
month = may,
year = "1983",
CODEN = "HIMADS",
ISSN = "0315-0860 (print), 1090-249X (electronic)",
ISSN-L = "0315-0860",
bibdate = "Wed Jun 26 06:17:39 MDT 2013",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/birkhoff-garrett.bib;
https://www.math.utah.edu/pub/bibnet/authors/v/von-neumann-john.bib;
https://www.math.utah.edu/pub/tex/bib/histmath.bib",
URL = "http://www.sciencedirect.com/science/article/pii/0315086083900745",
acknowledgement = ack-nhfb,
author-dates = "Garrett Birkhoff (19 January 1911--22 November 1996)",
fjournal = "Historia Mathematica",
journal-URL = "http://www.sciencedirect.com/science/journal/03150860/",
}
@Article{Birkhoff:1983:NFD,
author = "Garrett Birkhoff",
title = "Numerical fluid dynamics",
journal = j-SIAM-REVIEW,
volume = "25",
number = "1",
pages = "1--34",
month = jan,
year = "1983",
CODEN = "SIREAD",
DOI = "https://doi.org/10.1137/1025001",
ISSN = "0036-1445 (print), 1095-7200 (electronic)",
ISSN-L = "0036-1445",
MRclass = "76-02 76M99 76-03 01-02 65M99 65N99 76-08 (01A60)",
MRnumber = "693712",
bibdate = "Sun Oct 29 10:49:01 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/birkhoff-garrett.bib",
URL = "https://www.jstor.org/stable/2030018",
ZMnumber = "0508.76001",
acknowledgement = ack-nhfb,
author-dates = "Garrett Birkhoff (19 January 1911--22 November 1996)",
fjournal = "SIAM Review",
GB-number = "197",
journal-URL = "http://epubs.siam.org/sirev",
ZBmath = "3802971",
}
@InCollection{Birkhoff:1983:NPI,
author = "Garrett Birkhoff",
editor = "Themistocles M. Rassias",
booktitle = "Global analysis --- analysis on manifolds",
title = "Nonlinear product integration",
volume = "57",
publisher = pub-TEUBNER,
address = pub-TEUBNER:adr,
pages = "43--50",
year = "1983",
MRclass = "34G10 34C40 34A12 37J35 37K10 22E05",
MRnumber = "730601",
bibdate = "Sun Oct 22 09:59:52 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/birkhoff-garrett.bib",
note = "Dedicated to M. Morse.",
series = "Teubner-Texte Math.",
ZMnumber = "0536.34039",
acknowledgement = ack-nhfb,
author-dates = "Garrett Birkhoff (19 January 1911--22 November 1996)",
GB-number = "199",
ZBmath = "3851548",
}
@Article{Birkhoff:1983:RMY,
author = "Garrett Birkhoff",
title = "{Richard von Mises}' years at {Harvard}",
journal = j-Z-ANGE-MATH-MECH,
volume = "63",
number = "7",
pages = "283--284",
year = "1983",
CODEN = "ZAMMAX",
DOI = "https://doi.org/10.1002/zamm.19830630705",
ISSN = "0044-2267 (print), 1521-4001 (electronic)",
ISSN-L = "0044-2267",
MRclass = "01A70",
MRnumber = "718662",
bibdate = "Sun Oct 29 10:49:01 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/birkhoff-garrett.bib",
ZMnumber = "0527.01012",
acknowledgement = ack-nhfb,
author-dates = "Garrett Birkhoff (19 January 1911--22 November 1996)",
fjournal = "Zeitschrift f{\"u}r Angewandte Mathematik und
Mechanik. Ingenieurwissenschaftliche
Forschungsarbeiten",
journal-URL = "http://onlinelibrary.wiley.com/journal/10.1002/(ISSN)1521-4001",
language = "German",
ZBmath = "3835980",
}
@Article{Birkhoff:1983:SEP,
author = "Garrett Birkhoff",
title = "Solving elliptic problems: 1930--1980",
journal = "Appl. Math. Math. Comput.",
volume = "6",
pages = "1--10",
year = "1983",
MRclass = "65-02 (65Nxx)",
MRnumber = "749095",
bibdate = "Sun Oct 22 09:59:52 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/birkhoff-garrett.bib",
note = "Translated from the English by Jia Chang Sun",
acknowledgement = ack-nhfb,
author-dates = "Garrett Birkhoff (19 January 1911--22 November 1996)",
fjournal = "Applied Mathematics \& Mathematics of Computation.
Yingyong Shuxue yu Jisuan Shuxue",
}
@InCollection{Bennett:1984:PAC,
author = "M. K. Bennett and Garrett Birkhoff",
booktitle = "{Calcutta Mathematical Society. Diamond-cum-platinum
jubilee commemoration volume (1908--1983), Part I}",
title = "A {Peano} axiom for convexity lattices",
publisher = "Calcutta Mathematical Society",
address = "Calcutta, Bengal, India",
pages = "33--43",
year = "1984",
MRclass = "06B05 (52A01) 06C10",
MRnumber = "845037",
bibdate = "Sun Oct 22 09:59:52 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/birkhoff-garrett.bib",
ZMnumber = "0594.06003",
acknowledgement = ack-nhfb,
author-dates = "Garrett Birkhoff (19 January 1911--22 November 1996)",
GB-number = "203",
ZBmath = "3954982",
}
@Book{Birkgof:1984:CTR,
author = "G. Birkgof",
title = "{{\cyr Teoriya reshetok}}. ({Russian}) [{Lattice}
theory]",
publisher = "``Nauka''",
address = "Moscow, USSR",
pages = "566",
year = "1984",
MRclass = "06-02 (06Bxx)",
MRnumber = "751233",
bibdate = "Sun Oct 22 09:59:52 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/birkhoff-garrett.bib",
note = "Edited by L. A. Skornyakov. Translated from the
English and with an appendix by V. N. Sali{\u{\i}}.",
acknowledgement = ack-nhfb,
author-dates = "Garrett Birkhoff (19 January 1911--22 November 1996)",
language = "Russian",
}
@InProceedings{Birkhoff:1984:CAM,
author = "G. Birkhoff and John F. Brophy and R. E. Lynch",
title = "Computing added mass coefficients",
crossref = "Birkhoff:1984:EPS",
pages = "427--437",
year = "1984",
MRclass = "65Z05 76B99 65N22 35J05 76-08",
MRnumber = "764247",
bibdate = "Sun Oct 22 09:59:52 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/birkhoff-garrett.bib",
ZMnumber = "0598.65088",
acknowledgement = ack-nhfb,
author-dates = "Garrett Birkhoff (19 January 1911--22 November 1996)",
GB-number = "200",
ZBmath = "3965390",
}
@Article{Birkhoff:1984:EFA,
author = "Garrett Birkhoff and Erwin Kreyszig",
title = "The establishment of functional analysis",
journal = j-HIST-MATH,
volume = "11",
number = "3",
pages = "258--321",
month = aug,
year = "1984",
CODEN = "HIMADS",
DOI = "https://doi.org/10.1016/0315-0860(84)90036-3",
ISSN = "0315-0860 (print), 1090-249X (electronic)",
ISSN-L = "0315-0860",
MRclass = "01A60 (01A55 46-03 47-03) 01A05",
MRnumber = "765342",
MRreviewer = "Jesper L{\"u}tzen",
bibdate = "Wed Jun 26 06:17:47 MDT 2013",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/birkhoff-garrett.bib;
https://www.math.utah.edu/pub/tex/bib/histmath.bib",
URL = "http://www.sciencedirect.com/science/article/pii/0315086084900363",
ZMnumber = "0549.01001",
acknowledgement = ack-nhfb,
author-dates = "Garrett Birkhoff (19 January 1911--22 November 1996)",
fjournal = "Historia Mathematica",
GB-number = "202",
journal-URL = "http://www.sciencedirect.com/science/journal/03150860",
ZBmath = "3875196",
}
@Article{Birkhoff:1984:NFDa,
author = "Garrett Birkhoff",
title = "Numerical fluid dynamics",
journal = "Fiz.-Mat. Spis. B\bud lgar. Akad. Nauk.",
volume = "26(59)",
number = "2",
pages = "150--167",
year = "1984",
ISSN = "0015-3265",
MRclass = "76-02 76M99 76-03 01-02 65M99 76-08",
MRnumber = "769952",
bibdate = "Sun Oct 22 09:59:52 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/birkhoff-garrett.bib",
note = "Translated from the English by R. Lazov",
ZMnumber = "0657.76005",
acknowledgement = ack-nhfb,
author-dates = "Garrett Birkhoff (19 January 1911--22 November 1996)",
fjournal = "B\bud lgarska Akademiya na Naukite. Fizicheski
Institut. Matematicheski Institut.
Fiziko-Matematichesko Spisanie",
ZBmath = "4074650",
}
@Article{Birkhoff:1984:NFDb,
author = "Garet Birkhoff",
title = "Numerical fluid dynamics. {II}",
journal = "Fiz.-Mat. Spis. B\bud lgar. Akad. Nauk.",
volume = "26(59)",
number = "3",
pages = "271--294",
year = "1984",
ISSN = "0015-3265",
MRclass = "76-08",
MRnumber = "776881",
bibdate = "Sun Oct 22 09:59:52 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/birkhoff-garrett.bib",
note = "Translated from the English by Pet\cprime o P.
Petkov",
acknowledgement = ack-nhfb,
author-dates = "Garrett Birkhoff (19 January 1911--22 November 1996)",
fjournal = "B\bud lgarska Akademiya na Naukite. Fizicheski
Institut. Matematicheski Institut.
Fiziko-Matematichesko Spisanie",
}
@Book{Birkhoff:1984:NSE,
author = "Garrett Birkhoff and Robert E. Lynch",
title = "Numerical Solution of Elliptic Problems",
volume = "6",
publisher = pub-SIAM,
address = pub-SIAM:adr,
pages = "xi + 319",
year = "1984",
DOI = "https://doi.org/10.1137/1.9781611970869",
ISBN = "0-89871-197-5",
ISBN-13 = "978-0-89871-197-4",
MRclass = "65Nxx 65-02 65E05 35Jxx 35P15 65F05 65F10 35-04 65-01
(65Nxx)",
MRnumber = "769468",
MRreviewer = "R. S. Anderssen",
bibdate = "Sun Oct 29 10:49:01 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/birkhoff-garrett.bib",
series = "SIAM Studies in Applied Mathematics",
ZMnumber = "0556.65078",
acknowledgement = ack-nhfb,
author-dates = "Garrett Birkhoff (19 January 1911--22 November 1996)",
fseries = "SIAM Studies in Applied Mathematics",
tableofcontents = "Preface / ix \\
1: Typical Elliptic Problems / 1 \\
2: Classical Analysis / 21 \\
3: Difference Approximations / 45 \\
4: Direct and Iterative Methods / 97 \\
5: Accelerating Convergence / 149 \\
6: Direct Variational Methods / 183 \\
7: Finite Element Approximations / 221 \\
8: Integral Equation Methods / 251 \\
9: ELLPACK / 283 \\
Bibliography / 303 \\
Index / 315",
ZBmath = "3887036",
}
@Article{Bennett:1985:CL,
author = "M. K. Bennett and Garrett Birkhoff",
title = "Convexity lattices",
journal = j-ALGEBRA-UNIVERS,
volume = "20",
number = "1",
pages = "1--26",
year = "1985",
DOI = "https://doi.org/10.1007/BF01236802",
ISSN = "0002-5240 (print), 1420-8911 (electronic)",
ISSN-L = "0002-5240",
MRclass = "06B05 (52A01) 51G05 52A35 06B20 51D05",
MRnumber = "790901",
bibdate = "Sun Oct 29 10:49:01 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/birkhoff-garrett.bib",
ZMnumber = "0566.06005",
acknowledgement = ack-nhfb,
ajournal = "Algebra Univers.",
author-dates = "Garrett Birkhoff (19 January 1911--22 November 1996)",
fjournal = "Algebra Universalis",
GB-number = "201",
journal-URL = "https://www.springer.com/journal/12",
ZBmath = "3902717",
}
@Article{Birkhoff:1985:CLP,
author = "Garrett Birkhoff and M. K. Bennett",
title = "The convexity lattice of a poset",
journal = j-ORDER-DORDRECHT,
volume = "2",
number = "3",
pages = "223--242",
year = "1985",
CODEN = "ORDRE5",
DOI = "https://doi.org/10.1007/BF00333128",
ISSN = "0167-8094 (print), 1572-9273 (electronic)",
ISSN-L = "0167-8094",
MRclass = "06B05 06A06 06B15 06A10 (06A15)",
MRnumber = "824696",
MRreviewer = "D. Duffus",
bibdate = "Sun Oct 29 10:49:01 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/birkhoff-garrett.bib",
ZMnumber = "0591.06009",
acknowledgement = ack-nhfb,
author-dates = "Garrett Birkhoff (19 January 1911--22 November 1996)",
fjournal = "Order",
journal-URL = "http://link.springer.com/journal/11083",
ZBmath = "3948344",
}
@Article{Birkhoff:1985:SMP,
author = "Garrett Birkhoff",
title = "Some mathematical problems of numerical ocean
acoustics",
journal = j-COMPUT-MATH-APPL,
volume = "11",
number = "7--8",
pages = "643--654",
year = "1985",
CODEN = "CMAPDK",
DOI = "https://doi.org/10.1016/0898-1221(85)90161-0",
ISSN = "0898-1221 (print), 1873-7668 (electronic)",
ISSN-L = "0898-1221",
MRclass = "76Q05 (35J05 35L05 65M99 65N99 76-08 86-08) 76B15
86A05 35Q99 35J05",
MRnumber = "809598",
MRreviewer = "R. F. Millar",
bibdate = "Sun Oct 29 10:49:01 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/birkhoff-garrett.bib",
note = "Reprinted in \cite{Birkhoff:1986:SMP}.",
ZMnumber = "0611.76088",
acknowledgement = ack-nhfb,
author-dates = "Garrett Birkhoff (19 January 1911--22 November 1996)",
fjournal = "Computers \& Mathematics with Applications. An
International Journal",
GB-number = "204",
journal-URL = "http://www.sciencedirect.com/science/journal/08981221",
ZBmath = "3988983",
}
@InCollection{Birkhoff:1986:SMP,
author = "Garrett Birkhoff",
editor = "Ding Lee and M. H. Schultz",
booktitle = "Numerical Ocean Acoustics",
title = "Some mathematical problems of numerical ocean
acoustics",
publisher = pub-PERGAMON,
address = pub-PERGAMON:adr,
pages = "??--??",
year = "1986",
DOI = "",
ISBN = "",
ISBN-13 = "",
LCCN = "",
bibdate = "Wed Nov 01 08:44:48 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/birkhoff-garrett.bib",
note = "Computational ocean acoustics (New Haven, Conn.,
1984)",
URL = "",
acknowledgement = ack-nhfb,
author-dates = "Garrett Birkhoff (19 January 1911--22 November 1996)",
GB-number = "204",
}
@Article{Birkhoff:1987:HGG,
author = "Garrett Birkhoff and Mary Katherine Bennett",
title = "{Hilbert}'s ``{{\booktitle{{Grundlagen} der
Geometrie}}}''",
journal = "Rendiconti del Circolo Matem{\`a}tico di Palermo.
Serie II",
volume = "36",
number = "3",
pages = "343--389",
year = "1987",
DOI = "https://doi.org/10.1007/BF02844894",
ISSN = "0009-725x (print), 1973-4409 (electronic)",
MRclass = "51-02 51-03 01A55 01A60 01A72 51M05 51M10 01A55 (01A60
51-03)",
MRnumber = "981143",
MRreviewer = "Cyril W. L. Garner",
bibdate = "Sun Oct 29 10:49:01 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/birkhoff-garrett.bib",
ZMnumber = "0664.51001",
acknowledgement = ack-nhfb,
ajournal = "Rend. Circ. Mat. Palermo (2)",
author-dates = "Garrett Birkhoff (19 January 1911--22 November 1996)",
fjournal = "Rendiconti del Circolo Matem{\`a}tico di Palermo.
Serie II",
journal-URL = "https://link.springer.com/journal/12215",
ZBmath = "4086410",
}
@Article{Birkhoff:1987:SWF,
author = "Garrett Birkhoff",
title = "Sound waves in fluids",
journal = j-APPL-NUM-MATH,
volume = "3",
number = "1-2",
pages = "3--24",
year = "1987",
CODEN = "ANMAEL",
DOI = "https://doi.org/10.1016/0168-9274(87)90003-1",
ISSN = "0168-9274 (print), 1873-5460 (electronic)",
ISSN-L = "0168-9274",
MRclass = "76Q05 (76-08) 70H20 78A05 74J10 76M99",
MRnumber = "896323",
bibdate = "Sun Oct 29 10:49:01 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/birkhoff-garrett.bib",
ZMnumber = "0619.76102",
acknowledgement = ack-nhfb,
author-dates = "Garrett Birkhoff (19 January 1911--22 November 1996)",
fjournal = "Applied Numerical Mathematics. An IMACS Journal",
journal-URL = "http://www.sciencedirect.com/science/journal/01689274",
ZBmath = "4005900",
}
@InProceedings{Birkhoff:1988:FKH,
author = "Garrett Birkhoff and M. K. Bennett",
booktitle = "History and philosophy of modern mathematics.
Proceedings of the conference, {University of
Minnesota, Minneapolis, MN, USA, May 17--19, 1985}",
title = "{Felix Klein} and his ``{Erlanger Programm}''",
volume = "XI",
publisher = pub-U-MINNESOTA,
address = pub-U-MINNESOTA:adr,
pages = "145--176",
year = "1988",
ISBN = "0-8166-1566-7; 0-8166-1567-5",
ISBN-13 = "978-0-8166-1566-7; 978-0-8166-1567-4",
MRclass = "01A55 01A60 01A70 51-03",
MRnumber = "945470",
MRreviewer = "J. Dieudonn{\'e}",
bibdate = "Sun Oct 22 09:59:52 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/birkhoff-garrett.bib",
series = "Minnesota Stud. Philos. Sci.",
ZMnumber = "1366.01009",
acknowledgement = ack-nhfb,
author-dates = "Garrett Birkhoff (19 January 1911--22 November 1996)",
ZBmath = "6745038",
}
@InCollection{Birkhoff:1988:ROC,
author = "Garrett Birkhoff",
booktitle = "Reliability in computing",
title = "The role of order in computing",
volume = "19",
publisher = pub-ACADEMIC,
address = pub-ACADEMIC:adr,
pages = "357--378",
year = "1988",
ISBN = "0-12-505630-3",
ISBN-13 = "978-0-12-505630-4",
MRclass = "65G10 (06A99 65C10 68M99) 65J05 65-02 65G30",
MRnumber = "988469",
MRreviewer = "Florica Luban",
bibdate = "Sun Oct 22 09:59:52 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/birkhoff-garrett.bib",
series = "Perspectives in Computing",
ZMnumber = "0659.65059",
acknowledgement = ack-nhfb,
author-dates = "Garrett Birkhoff (19 January 1911--22 November 1996)",
ZBmath = "4078658",
}
@InProceedings{Birkhoff:1988:SWF,
author = "Garrett Birkhoff",
booktitle = "Applied mathematics, fluid mechanics, astrophysics
{(Cambridge, MA, 1987)}",
title = "Sound waves in fluids: mathematical models and
physical reality",
publisher = pub-WORLD-SCI,
address = pub-WORLD-SCI:adr,
pages = "35--45",
year = "1988",
ISBN = "9971-5-0245-3",
ISBN-13 = "978-9971-5-0245-4",
MRclass = "76Q05",
MRnumber = "973914",
bibdate = "Sun Oct 22 09:59:52 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/birkhoff-garrett.bib",
acknowledgement = ack-nhfb,
author-dates = "Garrett Birkhoff (19 January 1911--22 November 1996)",
}
@Book{MacLane:1988:A,
author = "Saunders {Mac Lane} and Garrett Birkhoff",
title = "Algebra",
publisher = "Chelsea Publishing Company",
address = "New York, NY, USA",
edition = "Third",
pages = "xx + 626",
year = "1988",
ISBN = "0-8284-0330-9",
ISBN-13 = "978-0-8284-0330-6",
MRclass = "12-01 12Fxx 13-01 00A05 51-01",
MRnumber = "941522",
bibdate = "Sun Oct 29 10:49:01 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/birkhoff-garrett.bib",
ZMnumber = "0641.12001",
acknowledgement = ack-nhfb,
author-dates = "Garrett Birkhoff (19 January 1911--22 November 1996);
Saunders Mac Lane (1909--2005)",
tableofcontents = "List of Symbols \\
\\
I: Sets, Functions, and Integers / 1 \\
1. Sets / 1 \\
2. Functions / 4 \\
3. Relations and Binary Operations / 10 \\
4. The Natural Numbers / 15 \\
5. Addition and Multiplication / 18 \\
6. Inequalities / 20 \\
7. The Integers / 23 \\
8. The Integers Modulo $n$ / 28 \\
9. Equivalence Relations and Quotient Sets \\
10. Morphisms / 37 \\
11. Semigroups and Monoids / 39 \\
\\
II: Groups / 43 \\
1. Groups and Symmetry / 43 \\
2. Rules of Calculation / 47 \\
3. Cyclic Groups / 51 \\
4. Subgroups / 56 \\
5. Defining Relations / 59 \\
6. Symmetric and Alternating Groups / 63 \\
7. Transformation Groups / 68 \\
8. Cosets / 72 \\
9. Kernel and Image / 75 \\
10. Quotient Groups / 79 \\
\\
III: Rings / 85 \\
1. Axioms for Rings / 85 \\
2. Constructions for Rings / 90 \\
3. Quotient Rings / 95 \\
4. Integral Domains and Fields / 99 \\
5. The Field of Quotients / 101 \\
6. Polynomials / 104 \\
7. Polynomials as Functions / 109 \\
8. The Division Algorithm / 111 \\
9. Principal Ideal Domains / 115 \\
10. Unique Factorization / 116 \\
11. Prime Fields / 120 \\
12. The Euclidean Algorithm / 122 \\
13. Commutative Quotient Rings / 124 \\
\\
IV: Universal Constructions / 129 \\
1. Examples of Universals / 129 \\
2. Functors / 131 \\
3. Universal Elements / 134 \\
4. Polynomials in Several Variables / 137 \\
5. Categories / 141 \\
6. Posets and Lattices / 143 \\
7. Contravariance and Duality / 146 \\
8. The Category of Sets / 153 \\
9. The Category of Finite Sets / 156 \\
\\
V: Modules / 160 \\
1. Sample Modules / 160 \\
2. Linear Transformations / 163 \\
3. Submodules / 167 \\
4. Quotient Modules / 171 \\
5. Free Modules / 173 \\
6. Biproducts / 178 \\
7. Dual Modules / 185 \\
\\
VI: Vector Spaces / 193 \\
1. Bases and Coordinates / 194 \\
2. Dimension / 199 \\
3. Constructions for Bases / 202 \\
4. Dually Paired Vector Spaces / 207 \\
5. Elementary Operations / 212 \\
6. Systems of Linear Equations / 219 \\
\\
VII: Matrices / 223 \\
1. Matrices and Free Modules / 224 \\
2. Matrices and Biproducts / 232 \\
3. The Matrix of a Map / 236 \\
4. The Matrix of a Composite / 240 \\
5. Ranks of Matrices / 244 \\
6. Invertible Matrices / 246 \\
7. Change of Bases / 251 \\
8. Eigenvectors and Eigenvalues / 257 \\
\\
VIII: Special Fields / 261 \\
1. Ordered Domains / 261 \\
2. The Ordered Field $Q$ / 265 \\
3. Polynomial Equations / 267 \\
4. Convergence in Ordered Fields / 269 \\
5. The Real Field $R$ / 271 \\
6. Polynomials over $R$ / 274 \\
7. The Complex Plane / 276 \\
8. The Quaternions / 281 \\
9. Extended Formal Power Series / 284 \\
10. Valuations and $p$-adic Numbers / 286 \\
\\
IX: Determinants and Tensor Products / 293 \\
1. Multilinear and Alternating Functions / 293 \\
2. Determinants of Matrices / 296 \\
3. Cofactors and Cramer's Rule / 301 \\
4. Determinants of Maps / 305 \\
5. The Characteristic Polynomial / 309 \\
6. The Minimal Polynomial / 312 \\
7. Universal Bilinear Functions / 318 \\
8. Tensor Products / 319 \\
9. Exact Sequences / 326 \\
10. Identities on Tensor Products / 329 \\
11. Change of Rings / 331 \\
12. Algebras / 334 \\
\\
X: Bilinear and Quadratic Forms / 338 \\
1. Bilinear Forms / 338 \\
2. Symmetric Matrices / 341 \\
3. Quadratic Forms / 343 \\
4. Real Quadratic Forms / 347 \\
5. Inner Products / 351 \\
6. Orthonormal Bases / 355 \\
7. Orthogonal Matrices / 360 \\
8. The Principal Axis Theorem / 364 \\
9. Unitary Spaces / 369 \\
10. Normal Matrices / 374 \\
\\
XI: Similar Matrices and Finite Abelian Groups / 378
\\
1. Noetherian Modules / 378 \\
2. Cyclic Modules / 381 \\
3. Torsion Modules / 383 \\
4. The Rational Canonical Form for Matrices / 388 \\
5. Primary Modules / 392 \\
6. Free Modules / 397 \\
7. Equivalence of Matrices / 400 \\
8. The Calculation of Invariant Factors / 404 \\
\\
XII: Structure of Groups / 409 \\
1. Isomorphism Theorems / 409 \\
2. Group Extensions / 413 \\
3. Characteristic Subgroups / 417 \\
4. Conjugate Classes / 419 \\
5. The Sylow Theorems / 422 \\
6. Nilpotent Groups / 426 \\
7. Solvable Groups / 428 \\
8. The Jordan-Holder Theorem / 430 \\
9. Simplicity of An / 433 \\
\\
XIII: Galois Theory / 436 \\
1. Quadratic and Cubic Equations / 436 \\
2. Algebraic and Transcendental Elements / 439 \\
3. Degrees / 442 \\
4. Ruler and Compass / 445 \\
5. Splitting Fields / 446 \\
6. Galois Groups of Polynomials / 450 \\
7. Separable Polynomials / 453 \\
8. Finite Fields / 456 \\
9. Normal Extensions / 458 \\
10. The Fundamental Theorem / 462 \\
11. The Solution of Equations by Radicals / 465 \\
\\
XIV: Lattices / 470 \\
1. Posets: Duality Principle / 470 \\
2. Lattice Identities / 473 \\
3. Sublattices and Products of Lattices / 476 \\
4. Modular Lattices / 478 \\
5. Jordan-Holder-Dedekind Theorem / 480 \\
6. Distributive Lattices / 483 \\
7. Rings of Sets / 485 \\
8. Boolean Algebras / 487 \\
9. Free Boolean Algebras / 491 \\
\\
XV: Categories and Adjoint Functors / 495 \\
1. Categories / 495 \\
2. Functors / 501 \\
3. Contravariant Functors / 504 \\
4. Natural Transformations / 506 \\
5. Representable Functors and Universal Elements / 511
\\
6. Adjoint Functors / 517 \\
\\
XVI: Multilinear Algebra / 522 \\
1. Iterated Tensor Products / 522 \\
2. Spaces of Tensors / 524 \\
3. Graded Modules / 530 \\
4. Graded Algebras / 533 \\
5. The Graded Tensor Algebra / 539 \\
6. The Exterior Algebra of a Module / 543 \\
7. Determinants by Exterior Algebra / 547 \\
8. Subspaces by Exterior Algebra / 552 \\
9. Duality n Exterior Algebra / 555 \\
10. Alternating Forms and Skew-Symmetric Tensors / 558
\\
\\
Appendix: Affine and Projective Spaces / 561 \\
1. The Affine Line / 417 \\
2. Affine Spaces / 420 \\
3. The Affine Group / 570 \\
4. Affine Subspaces / 576 \\
5. Biaffine and Quadratic Functionals / 578 \\
6. Euclidean Spaces / 586 \\
7. Euclidean Quadrics / 590 \\
8. Projective Spaces / 592 \\
9. Projective Quadrics / 596 \\
10. Affine and Projective Spaces / 598 \\
\\
Bibliography / 595 \\
\\
Index / 604",
ZBmath = "193022",
}
@InCollection{Birkhoff:1989:MH,
author = "Garrett Birkhoff",
booktitle = "A century of mathematics in {America}, {Part II}",
title = "Mathematics at {Harvard}, 1836--1944",
volume = "2",
publisher = pub-AMS,
address = pub-AMS:adr,
pages = "3--58",
year = "1989",
ISBN = "0-8218-0130-9",
ISBN-13 = "978-0-8218-0130-7",
MRclass = "01A73 (01A55 01A60)",
MRnumber = "1003118",
MRreviewer = "Renate Tobies",
bibdate = "Sun Oct 22 09:59:52 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/birkhoff-garrett.bib",
series = "Hist. Math.",
ZMnumber = "0665.01010",
acknowledgement = ack-nhfb,
author-dates = "Garrett Birkhoff (19 January 1911--22 November 1996)",
ZBmath = "4087617",
}
@Book{Birkhoff:1989:ODE,
author = "Garrett Birkhoff and Gian-Carlo Rota",
title = "Ordinary Differential Equations",
publisher = pub-WILEY,
address = pub-WILEY:adr,
edition = "Fourth",
pages = "xii + 399",
year = "1989",
ISBN = "0-471-86003-4",
ISBN-13 = "978-0-471-86003-7",
MRclass = "34-01",
MRnumber = "972977",
MRreviewer = "Michal {\v{C}}ver\v{c}ko",
bibdate = "Sun Oct 22 09:59:52 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/birkhoff-garrett.bib",
acknowledgement = ack-nhfb,
author-dates = "Garrett Birkhoff (19 January 1911--22 November 1996)",
shorttableofcontents = "1: First-Order Of Differential Equations / 1
\\
2: Second-Order Linear Equations / 34 \\
3: Linear Equations with Constant Coefficients / 71 \\
7: Approximate Solutions / 204 \\
8: Efficient Numerical Integration / 230 \\
9: Regular Singular Points / 261 \\
10: Sturm-Liouville Systems / 300 \\
11: Expansions in Eigenfunctions / 344 \\
Appendix: A: Linear Systems / 371 \\
Appendix: B: Bifurcation Theory / 380 \\
Bibliography: / 392 \\
Index: / 395",
tableofcontents = "\\
1: First-Order Of Differential Equations / 1 \\
1. Introduction / 1 \\
2. Fundamental Theorem of the Calculus / 2 \\
3. First-order Linear Equations / 7 \\
4. Separable Equations / 9 \\
5. Quasilinear Equations; Implicit Solutions / 11 \\
6. Exact Differentials; Integrating Factors / 15 \\
7. Linear Fractional Equations / 17 \\
8. Graphical and Numerical Integration / 20 \\
9. The Initial Value Problem / 24 \\
*10. Uniqueness and Continuity / 26 \\
*11. A Comparison Theorem / 29 \\
*12. Regular and Normal Curve Families / 31 \\
\\
2: Second-Order Linear Equations / 34 \\
1. Bases of Solutions / 34 \\
2. Initial Value Problems / 37 \\
3. Qualitative Behavior; Stability / 39 \\
4. Uniqueness Theorem / 40 \\
5. The Wronskian / 43 \\
6. Separation and Comparison Theorems / 47 \\
7. The Phase Plane / 49 \\
8. Adjoint Operators; Lagrange Identity / 54 \\
9. Green's Functions / 58 \\
*10. Two-endpoint Problems / 63 \\
*11. Green's Functions, II / 65 \\
\\
3: Linear Equations with Constant Coefficients / 71 \\
1. The Characteristic Polynomial / 71 \\
2. Complex Exponential Functions / 72 \\
3. The Operational Calculus / 76 \\
4. Solution Bases / 78 \\
5. Inhomogeneous Equations / 83 \\
6. Stability / 85 \\
7. The Transfer Function / 86 \\
*8. The Nyquist Diagram / 90 \\
*9, The Green's Function / 93 \\
\\
4: Power Series Solutions / 99 \\
1. Introduction / 99 \\
2. Method of Undetermined Coefficients / 101 \\
3. More Examples / 105 \\
4. Three First-order DEs / 107 \\
5. Analytic Functions / 110 \\
6. Method of Majorants / 113 \\
*7. Sine and Cosine Functions / 116 \\
*8. Bessel Functions / 117 \\
9. First-order Nonlinear DEs / 121 \\
10. Radius of Convergence / 124 \\
*11. Method of Majorants, IT / 126 \\
*12. Complex Solutions / 128 \\
\\
5: Plane Autonomous Systems / 131 \\
1. Autonomous Systems / 131 \\
2. Plane Autonomous Systems / 134 \\
3. The Phase Plane, II / 136 \\
4. Linear Autonomous Systems / 141 \\
5. Linear Equivalence / 144 \\
6. Equivalence Under Diffeomorphisms / 151 \\
7. Stability / 153 \\
8. Method of Liapunov / 157 \\
9. Undamped Nonlinear Oscillations / 158 \\
10. Soft and Hard Springs / 159 \\
11. Damped Nonlinear Oscillations / 163 \\
*12. Limit Cycles / 164 \\
\\
6: Existence and Uniqueness Theorems / 170 \\
1. Introduction / 170 \\
2. Lipschitz conditions / 172 \\
3. Well-posed Problems / 174 \\
4. Continuity / 177 \\
*5. Normal Systems / 180 \\
6. Equivalent Integral Equation / 183 \\
7. Successive Approximation / 185 \\
8. Linear Systems / 188 \\
9. Local Existence Theorem / 190 \\
*10. The Peano Existence Theorem / 191 \\
*11. Analytic Equations / 193 \\
*12. Continuation of Solutions / 197 \\
*13. The Perturbation Equation / 198 \\
\\
7: Approximate Solutions / 204 \\
1. Introduction / 204 \\
2. Error Bounds / 205 \\
*3. Deviation and Error / 207 \\
4. Mesh-halving; Richardson Extrapolation / 210 \\
5. Midpoint Quadrature / 212 \\
6. Trapezoidal Quadrature / 215 \\
*7. Trapezoidal Integration / 218 \\
8. The Improved Euler Method / 222 \\
*9. The Modified Euler Method / 224 \\
*10. Cumulative Error Bound / 226 \\
\\
8: Efficient Numerical Integration / 230 \\
1. Difference Operators / 230 \\
2. Polynomial Interpolation / 232 \\
*3. Interpolation Errors / 235 \\
4. Stability / 237 \\
*5. Numerical Differentiation; Roundoff / 240 \\
*6. Higher Order Quadrature / 244 \\
*7. Gaussian Quadrature / 248 \\
8. Fourth-order Runge-Kutta / 250 \\
*9. Milne's Method / 256 \\
*10. Multistep Methods / 258 \\
\\
9: Regular Singular Points / 261 \\
1. Introduction / 261 \\
*2. Movable Singular Points / 263 \\
3. First-order Linear Equations / 264 \\
4. Continuation Principle; Circuit Matrix / 268 \\
5. Canonical Bases / 270 \\
6. Regular Singular Points / 274 \\
7. Bessel Equation / 276 \\
8. The Fundamental Theorem / 281 \\
*9. Alternative Proof of the Fundamental Theorem / 285
\\
*10. Hypergeometric Functions / 287 \\
*11. The Jacobi Polynomials / 289 \\
*12. Singular Points at Infinity / 292 \\
*13. Fuchsian Equations / 294 \\
\\
10: Sturm-Liouville Systems / 300 \\
1. Sturm-Liouville Systems / 300 \\
2. Sturm-Liouville Series / 302 \\
*3. Physical Interpretations / 305 \\
4. Singular Systems / 308 \\
5. Pr{\"u}fer Substitution / 312 \\
6. Sturm Comparison Theorem / 313 \\
7. Sturm Oscillation Theorem / 314 \\
8. The Sequence of Eigenfunctions / 318 \\
9. The Liouville Normal Form / 320 \\
10. Modified Pr{\"u}fer Substitution / 323 \\
*11. The Asymptotic Behavior of Bessel Functions / 326
\\
12. Distribution of Eigenvalues / 328 \\
13. Normalized Eigenfunctions / 329 \\
14. Inhomogeneous Equations / 333 \\
15. Green's Functions / 334 \\
*16. The Schroedinger Equation / 336 \\
*17. The Square-well Potential / 338 \\
*18. Mixed Spectrum / 339 \\
\\
11: Expansions in Eigenfunctions / 344 \\
1. Fourier Series / 344 \\
2. Orthogonal Expansions / 346 \\
3. Mean-square Approximation / 347 \\
4. Completeness / 350 \\
5. Orthogonal Polynomials / 352 \\
*6. Properties of Orthogonal Polynomials / 354 \\
*7. Chebyshev Polynomials / 358 \\
8. Euclidean Vector Spaces / 360 \\
9. Completeness of Eigenfunctions / 363 \\
*10. Hilbert Space / 365 \\
*11. Proof of Completeness / 367 \\
\\
Appendix A: Linear Systems / 371 \\
1. Matrix Norm / 371 \\
2. Constant-coefficient Systems / 372 \\
3. The Matrizant / 375 \\
4. Floquet Theorem; Canonical Bases / 377 \\
\\
Appendix B: Bifurcation Theory / 380 \\
1. What Is Bifurcation? / 380 \\
*2. Poincare Index Theorem / 381 \\
3. Hamiltonian Systems / 383 \\
4. Hamiltonian Bifurcations / 386 \\
5. Poincar{\'e} Maps / 387 \\
6. Periodically Forced Systems / 389 \\
\\
Bibliography / 392 \\
\\
Index / 395",
}
@Article{Birkhoff:1990:DMS,
author = "G. Birkhoff and E. C. {Gartland, Jr.} and R. E.
Lynch",
title = "Difference methods for solving convection-diffusion
equations",
journal = j-COMPUT-MATH-APPL,
volume = "19",
number = "11",
pages = "147--160",
year = "1990",
CODEN = "CMAPDK",
DOI = "https://doi.org/10.1016/0898-1221(90)90158-G",
ISSN = "0898-1221 (print), 1873-7668 (electronic)",
ISSN-L = "0898-1221",
MRclass = "65L10 65L12 65N06 65N15 35J25 34B05 34E15 65L70
65M06",
MRnumber = "1051746",
bibdate = "Sun Oct 29 10:49:01 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/birkhoff-garrett.bib",
ZMnumber = "0718.65060",
acknowledgement = ack-nhfb,
author-dates = "Garrett Birkhoff (19 January 1911--22 November 1996)",
fjournal = "Computers \& Mathematics with Applications. An
International Journal",
journal-URL = "http://www.sciencedirect.com/science/journal/08981221",
ZBmath = "4184959",
}
@InProceedings{Birkhoff:1990:EIR,
author = "Garrett Birkhoff and Robert E. Lynch",
booktitle = "Iterative methods for large linear systems {(Austin,
TX, 1988)}",
title = "{ELLPACK} and {ITPACK} as research tools for solving
elliptic problems",
publisher = pub-ACADEMIC,
address = pub-ACADEMIC:adr,
pages = "41--63",
year = "1990",
DOI = "https://doi.org/10.1016/B978-0-12-407475-0.50009-7",
ISBN = "0-12-407475-8",
ISBN-13 = "978-0-12-407475-0",
MRclass = "65F10",
MRnumber = "1038087",
bibdate = "Sun Oct 22 09:59:52 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/birkhoff-garrett.bib",
acknowledgement = ack-nhfb,
author-dates = "Garrett Birkhoff (19 January 1911--22 November 1996)",
}
@InProceedings{Birkhoff:1990:FDR,
author = "Garrett Birkhoff",
title = "Fluid dynamics, reactor computations, and surface
representation",
crossref = "Nash:1990:HSC",
pages = "63--87",
year = "1990",
MRclass = "01A60",
MRnumber = "1203102",
bibdate = "Sun Oct 22 09:59:52 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/birkhoff-garrett.bib",
acknowledgement = ack-nhfb,
author-dates = "Garrett Birkhoff (19 January 1911--22 November 1996)",
}
@Article{Birkhoff:1990:SCQ,
author = "Garrett Birkhoff and Robert E. Lynch",
title = "Some current questions on solving linear elliptic
problems",
journal = j-NUM-MATH,
volume = "57",
number = "6-7",
pages = "527--545",
year = "1990",
CODEN = "NUMMA7",
DOI = "https://doi.org/10.1007/BF01386426",
ISSN = "0029-599x (print), 0945-3245 (electronic)",
ISSN-L = "0029-599X",
MRclass = "65N12 65N15 65N06 35J05 65N22",
MRnumber = "1062364",
bibdate = "Sun Oct 29 10:49:01 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/birkhoff-garrett.bib",
ZMnumber = "0708.65092",
acknowledgement = ack-nhfb,
author-dates = "Garrett Birkhoff (19 January 1911--22 November 1996)",
fjournal = "Numerische Mathematik",
journal-URL = "http://link.springer.com/journal/211",
ZBmath = "4164080",
}
@InCollection{Birkhoff:1991:CH,
author = "Garrett Birkhoff",
booktitle = "{Constantin Carath{\'e}odory}: an international
tribute, {Vol. I, II}",
title = "{Carath{\'e}odory} and {Harvard}",
publisher = pub-WORLD-SCI,
address = pub-WORLD-SCI:adr,
pages = "65--75",
year = "1991",
ISBN = "981-02-0544-9",
ISBN-13 = "978-981-02-0544-7",
MRclass = "01A60 28-03",
MRnumber = "1130830",
bibdate = "Sun Oct 22 09:59:52 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/birkhoff-garrett.bib",
ZMnumber = "0734.01011",
acknowledgement = ack-nhfb,
author-dates = "Garrett Birkhoff (19 January 1911--22 November 1996)",
subject-dates = "Constantin Carath{\'e}odory (13 September 1873--2
February 1950)",
ZBmath = "4213936",
}
@Article{Birkhoff:1992:SMA,
author = "Garrett Birkhoff and Saunders {Mac Lane}",
title = "{{\booktitle{A survey of modern algebra}}}: the
fiftieth anniversary of its publication",
journal = j-MATH-INTEL,
volume = "14",
number = "1",
pages = "26--31",
year = "1992",
CODEN = "MAINDC",
DOI = "https://doi.org/10.1007/BF03024138",
ISSN = "0343-6993 (print), 1866-7414 (electronic)",
ISSN-L = "0343-6993",
MRclass = "01A60 (01A70)",
MRnumber = "1147344",
MRreviewer = "Gerald J. Janusz",
bibdate = "Sun Oct 29 10:49:01 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/birkhoff-garrett.bib",
ZMnumber = "0753.01012",
acknowledgement = ack-nhfb,
author-dates = "Garrett Birkhoff (19 January 1911--22 November 1996);
Saunders Mac Lane (1909--2005)",
fjournal = "The Mathematical Intelligencer",
journal-URL = "http://link.springer.com/journal/283",
ZBmath = "58233",
}
@Article{Bennett:1994:TFN,
author = "M. K. Bennett and G. Birkhoff",
title = "Two families of {Newman} lattices",
journal = j-ALGEBRA-UNIVERS,
volume = "32",
number = "1",
pages = "115--144",
year = "1994",
DOI = "https://doi.org/10.1007/BF01190819",
ISSN = "0002-5240 (print), 1420-8911 (electronic)",
ISSN-L = "0002-5240",
MRclass = "06B05 (06A07) 06C15 06D05 05C99",
MRnumber = "1287019",
MRreviewer = "Ralph Freese",
bibdate = "Sun Oct 29 10:49:01 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/birkhoff-garrett.bib",
ZMnumber = "0810.06006",
acknowledgement = ack-nhfb,
ajournal = "Algebra Univers.",
author-dates = "Garrett Birkhoff (19 January 1911--22 November 1996)",
fjournal = "Algebra Universalis",
journal-URL = "https://www.springer.com/journal/12",
ZBmath = "679612",
}
@InProceedings{Birkhoff:1995:LTA,
author = "Garrett Birkhoff",
booktitle = "Lattice theory and its applications {(In celebration
of Garrett Birkhoff's 80th birthday. Darmstadt,
1991)}",
title = "Lattices and their applications",
volume = "23",
publisher = "Heldermann Verlag",
address = "Lemgo, Germany",
pages = "7--25",
year = "1995",
ISBN = "3-88538-223-7",
ISBN-13 = "978-3-88538-223-2",
MRclass = "06-03 (01A60 06-02) 01A65",
MRnumber = "1366862",
MRreviewer = "Ralph Freese",
bibdate = "Sun Oct 22 09:59:52 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/birkhoff-garrett.bib",
series = "Res. Exp. Math.",
ZMnumber = "0843.06001",
acknowledgement = ack-nhfb,
author-dates = "Garrett Birkhoff (19 January 1911--22 November 1996)",
ZBmath = "802710",
}
@Book{MacLane:1996:A,
author = "Saunders {Mac Lane} and Garrett Birkhoff",
title = "Alg{\`e}bre",
publisher = "{\'E}ditions Jacques Gabay",
address = "Paris, France",
pages = "737",
year = "1996",
ISBN = "2-87647-138-8",
ISBN-13 = "978-2-87647-138-2",
MRclass = "01A75 (00A05)",
MRnumber = "1452598",
bibdate = "Sun Oct 22 09:59:52 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/birkhoff-garrett.bib",
note = "Et solutions d{\'e}velopp{\'e}es des exercices. [With
detailed solutions of the exercises], Structures
fondamentales. Les grands th{\'e}or{\`e}mes.
Th{\'e}orie de Galois. [Fundamental structures. The
major theorems. Galois theory], With a preface by J.
Dieudonn{\'e}",
series = "Les Grands Classiques Gauthier-Villars.
[Gauthier-Villars Great Classics]",
acknowledgement = ack-nhfb,
author-dates = "Garrett Birkhoff (19 January 1911--22 November 1996);
Saunders Mac Lane (1909--2005)",
language = "French",
}
@Article{Birkhoff:1997:BRJ,
author = "Garrett Birkhoff",
title = "Book Review: {{\booktitle{John von Neumann}}. By
Norman Macrae. New York (Random House). 1992}",
journal = j-HIST-MATH,
volume = "24",
number = "1",
pages = "98--100",
month = feb,
year = "1997",
CODEN = "HIMADS",
ISSN = "0315-0860 (print), 1090-249X (electronic)",
ISSN-L = "0315-0860",
bibdate = "Wed Jun 26 06:19:13 MDT 2013",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/birkhoff-garrett.bib;
https://www.math.utah.edu/pub/bibnet/authors/v/von-neumann-john.bib;
https://www.math.utah.edu/pub/tex/bib/histmath.bib",
URL = "http://www.sciencedirect.com/science/article/pii/S0315086097921376",
acknowledgement = ack-nhfb,
author-dates = "Garrett Birkhoff (19 January 1911--22 November 1996)",
fjournal = "Historia Mathematica",
journal-URL = "http://www.sciencedirect.com/science/journal/03150860/",
}
@Book{Birkhoff:1997:SMA,
author = "Garrett Birkhoff and Saunders Mac Lane",
title = "A Survey of Modern Algebra",
publisher = pub-A-K-PETERS,
address = pub-A-K-PETERS:adr,
edition = "Fifth",
year = "1997",
ISBN = "1-56881-068-7",
ISBN-13 = "978-1-56881-068-3",
MRclass = "00A05 01A75 12-01 13-01 06-01 20-01",
bibdate = "Sun Oct 29 10:49:01 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/birkhoff-garrett.bib",
ZMnumber = "0863.00001",
acknowledgement = ack-nhfb,
author-dates = "Garrett Birkhoff (19 January 1911--22 November 1996);
Saunders Mac Lane (1909--2005)",
shorttableofcontents = "1: The integers \\
2: Rational numbers and fields \\
3: Polynomials \\
4: Real numbers \\
5: Complex numbers \\
6: Groups \\
7: Vectors and vector spaces \\
8: The algebra of matrices \\
9: Linear group \\
10: Determinants and canonical forms \\
11: Boolean algebras and lattices \\
12: Transfinite arithmetic \\
13: Rings and ideals \\
14: Algebraic number fields \\
15: Galois theory \\
Bibliography \\
List of Special Symbols \\
Index",
ZBmath = "993346",
}
@TechReport{Birkhoff:1974:HOF,
author = "Garrett Birkhoff and George Fix",
title = "Higher-Order Finite Element Methods",
type = "Report",
institution = "Oak Ridge National Laboratory",
address = "Oak Ridge, TN, USA",
pages = "34",
day = "1",
month = mar,
year = "1974",
bibdate = "Sat Nov 04 07:21:36 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/birkhoff-garrett.bib",
URL = "https://www.semanticscholar.org/paper/Higher-Order-Linear-Finite-Element-Methods.-Birkhoff-Fix/59d0368b4202d42832af1d0a7a88a26b2f9e912a",
abstract = "During the past decade, a great variety of 'finite
element' methods have been developed for reducing
boundary value problems, especially those of continuum
mechanics, to systems of algebraic equations in a large
(100--100,000) but finite number of unknowns. Moreover
one can often greatly reduce the number of unknowns
needed to achieve a given accuracy by using
higher-order (e.g., bicubic spline) approximations.
This raises several questions: (1) When are such finite
element methods more effective than the difference
methods developed in the 1950's, and why. (2) How
should one solve the resulting systems of algebraic
equations. (3) Which higher-order finite element
methods are most efficient, and under what
circumstances should they be used. The present report
gives some partial answers to these questions for some
typical classes of linear problems",
acknowledgement = ack-nhfb,
author-dates = "Garrett Birkhoff (19 January 1911--22 November 1996)",
remark = "Imprecisely cited in \cite[ref. 6]{Birkhoff:1975:FRS}.
URL and date located by Web search.",
}
@Article{Birkhoff:2003:SSP,
author = "Garrett Birkhoff and Marco Martens and Charles
Tresser",
title = "On the scaling structure for period doubling",
journal = "Ast{\'e}risque",
volume = "286",
pages = "xix, 167--186",
year = "2003",
ISBN = "2-85629-138-4",
ISBN-13 = "978-2-85629-138-2",
ISSN = "0303-1179",
ISSN-L = "0303-1179",
MRclass = "37E05 (37G99)",
MRnumber = "2052301",
MRreviewer = "Fernando Fl{\'a}vio Ferreira",
bibdate = "Sun Oct 22 09:59:52 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/birkhoff-garrett.bib",
note = "Geometric methods in dynamics (I). Volume in honor of
Jacob Palis. In part papers presented at the
international conference on dynamical systems held at
{IMPA}, Rio de Janeiro, Brazil, July 2000, to celebrate
Jacob Palis' 60th birthday.",
ZMnumber = "1156.37310",
acknowledgement = ack-nhfb,
author-dates = "Garrett Birkhoff (19 January 1911--22 November 1996)",
fjournal = "Ast{\'e}risque",
ZBmath = "2070171",
}
@Book{Birkhoff:2016:H,
author = "Garrett Birkhoff",
title = "Hydrodynamics",
publisher = pub-PRINCETON,
address = pub-PRINCETON:adr,
pages = "xi + 184 + 1",
day = "19",
month = apr,
year = "2016",
DOI = "https://doi.org/10.1515/9781400877775",
ISBN = "1-4008-7777-6",
ISBN-13 = "978-1-4008-7777-5",
LCCN = "QA911 .B48 1960",
bibdate = "Wed Nov 1 12:35:50 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/birkhoff-garrett.bib",
note = "Princeton Legacy Library reprint of
\cite{Birkhoff:1960:HSL}.",
URL = "https://press.princeton.edu/books/hardcover/9780691652269/hydrodynamics",
acknowledgement = ack-nhfb,
author-dates = "Garrett Birkhoff (19 January 1911--22 November 1996)",
}
%%% ====================================================================
%%% Part 2: Publications about Garrett Birkhoff and his works
%%%
%%% Bibliography entries, sorted by year, and then by citation label:
@Article{Richardson:1911:IAA,
author = "Lewis Fry Richardson",
title = "{IX}. {The} approximate arithmetical solution by
finite differences of physical problems involving
differential equations with an application to the
stresses in a masonry dam",
journal = j-PHILOS-TRANS-R-SOC-LOND-SER-A,
volume = "A210",
number = "459--470",
pages = "307--357",
day = "1",
month = jan,
year = "1911",
CODEN = "PTRMAD, PTMSFB",
DOI = "https://doi.org/10.1098/rsta.1911.0009",
ISSN = "1364-503X (print), 1471-2962 (electronic)",
ISSN-L = "1364-503X",
bibdate = "Sun Oct 29 07:04:54 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/birkhoff-garrett.bib;
https://www.math.utah.edu/pub/bibnet/authors/f/fox-leslie.bib",
URL = "https://royalsocietypublishing.org/doi/10.1098/rsta.1911.0009",
acknowledgement = ack-nhfb,
fjournal = "Philosophical Transactions of the Royal Society A:
Mathematical, Physical, and Engineering Sciences",
journal-URL = "http://rsta.royalsocietypublishing.org/",
}
@Article{Liebmann:1918:AEH,
author = "H. Liebmann",
title = "{Die Angenaharte Ermittleung Harmonischer Functionen
und Konformer Abbildungen}. ({German}) [{The} hard
determination of harmonic functions and conformal
mappings]",
journal = "{Sitzungsber., Akad. Wiss. Math. Phys. Kl.}",
volume = "47",
number = "??",
pages = "385--416",
month = "????",
year = "1918",
bibdate = "Sun Oct 29 06:58:45 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/birkhoff-garrett.bib",
acknowledgement = ack-nhfb,
}
@Article{Anning:1933:PSA,
author = "Norman Anning",
title = "Problems and Solutions: Advanced Problems: Problems
for Solution: 3631",
journal = j-AMER-MATH-MONTHLY,
volume = "40",
number = "8",
pages = "495--496",
month = oct,
year = "1933",
CODEN = "AMMYAE",
ISSN = "0002-9890 (print), 1930-0972 (electronic)",
ISSN-L = "0002-9890",
bibdate = "Mon Jun 28 12:37:08 MDT 1999",
bibsource = "http://www.jstor.org/journals/00029890.htm;
https://www.math.utah.edu/pub/bibnet/authors/b/birkhoff-garrett.bib",
note = "See also
\cite{Anning:1934:PSA,Court:1934:PSAb,Dunkel:1935:PSAa,Ore:1937:PSA,Rosenbaum:1934:PSSb}.",
acknowledgement = ack-nhfb,
fjournal = "American Mathematical Monthly",
journal-URL = "http://www.jstor.org/journals/00029890.html",
xxnote = "Check pages??",
}
@Article{Anning:1934:PSA,
author = "Norman Anning and B. D. Roberts",
title = "Problems and Solutions: Advanced Problems: 3631",
journal = j-AMER-MATH-MONTHLY,
volume = "41",
number = "8",
pages = "525--527",
month = oct,
year = "1934",
CODEN = "AMMYAE",
ISSN = "0002-9890 (print), 1930-0972 (electronic)",
ISSN-L = "0002-9890",
bibdate = "Mon Jun 28 12:37:31 MDT 1999",
bibsource = "http://www.jstor.org/journals/00029890.htm;
https://www.math.utah.edu/pub/bibnet/authors/b/birkhoff-garrett.bib",
note = "See also \cite{Anning:1933:PSA}.",
acknowledgement = ack-nhfb,
fjournal = "American Mathematical Monthly",
journal-URL = "http://www.jstor.org/journals/00029890.html",
}
@Article{Court:1934:PSAb,
author = "N. A. Court and A. D. Bradley",
title = "Problems and Solutions: Advanced Problems: 3633",
journal = j-AMER-MATH-MONTHLY,
volume = "41",
number = "8",
pages = "527--527",
month = oct,
year = "1934",
CODEN = "AMMYAE",
ISSN = "0002-9890 (print), 1930-0972 (electronic)",
ISSN-L = "0002-9890",
bibdate = "Mon Jun 28 12:37:31 MDT 1999",
bibsource = "http://www.jstor.org/journals/00029890.htm;
https://www.math.utah.edu/pub/bibnet/authors/b/birkhoff-garrett.bib",
note = "See also \cite{Anning:1933:PSA}.",
acknowledgement = ack-nhfb,
fjournal = "American Mathematical Monthly",
journal-URL = "http://www.jstor.org/journals/00029890.html",
}
@Article{Escott:1934:PSA,
author = "E. B. Escott",
title = "Problems and Solutions: Advanced Problems: Problems
for Solution: 3673",
journal = j-AMER-MATH-MONTHLY,
volume = "41",
number = "4",
pages = "269--270",
month = apr,
year = "1934",
CODEN = "AMMYAE",
ISSN = "0002-9890 (print), 1930-0972 (electronic)",
ISSN-L = "0002-9890",
bibdate = "Mon Jun 28 12:37:22 MDT 1999",
bibsource = "http://www.jstor.org/journals/00029890.htm;
https://www.math.utah.edu/pub/bibnet/authors/b/birkhoff-garrett.bib",
note = "See also
\cite{Birkhoff:1935:PSA,Dunkel:1935:PSAb,Escott:1935:PSA,Gaines:1935:PSS,Grossman:1935:PSAc,Jones:1935:PSAb}.",
acknowledgement = ack-nhfb,
fjournal = "American Mathematical Monthly",
journal-URL = "http://www.jstor.org/journals/00029890.html",
xxnote = "Check pages??",
}
@Article{Rosenbaum:1934:PSSb,
author = "J. Rosenbaum and L. M. Kelly",
title = "Problems and Solutions: Solutions: 3634",
journal = j-AMER-MATH-MONTHLY,
volume = "41",
number = "8",
pages = "527--528",
month = oct,
year = "1934",
CODEN = "AMMYAE",
ISSN = "0002-9890 (print), 1930-0972 (electronic)",
ISSN-L = "0002-9890",
bibdate = "Mon Jun 28 12:37:31 MDT 1999",
bibsource = "http://www.jstor.org/journals/00029890.htm;
https://www.math.utah.edu/pub/bibnet/authors/b/birkhoff-garrett.bib",
note = "See also \cite{Anning:1933:PSA}.",
acknowledgement = ack-nhfb,
fjournal = "American Mathematical Monthly",
journal-URL = "http://www.jstor.org/journals/00029890.html",
}
@Article{Dunkel:1935:PSAa,
author = "Otto Dunkel",
title = "Problems and Solutions: Advanced Problems: 3637",
journal = j-AMER-MATH-MONTHLY,
volume = "42",
number = "3",
pages = "178--180",
month = mar,
year = "1935",
CODEN = "AMMYAE",
ISSN = "0002-9890 (print), 1930-0972 (electronic)",
ISSN-L = "0002-9890",
bibdate = "Mon Jun 28 12:37:42 MDT 1999",
bibsource = "http://www.jstor.org/journals/00029890.htm;
https://www.math.utah.edu/pub/bibnet/authors/b/birkhoff-garrett.bib",
note = "See also \cite{Anning:1933:PSA}.",
acknowledgement = ack-nhfb,
fjournal = "American Mathematical Monthly",
journal-URL = "http://www.jstor.org/journals/00029890.html",
}
@Article{Dunkel:1935:PSAb,
author = "Otto Dunkel and E. P. Starke",
title = "Problems and Solutions: Advanced Problems: Solutions:
3677",
journal = j-AMER-MATH-MONTHLY,
volume = "42",
number = "9",
pages = "572--577",
month = nov,
year = "1935",
CODEN = "AMMYAE",
ISSN = "0002-9890 (print), 1930-0972 (electronic)",
ISSN-L = "0002-9890",
bibdate = "Fri Jul 9 08:04:38 MDT 1999",
bibsource = "http://www.jstor.org/journals/00029890.htm;
https://www.math.utah.edu/pub/bibnet/authors/b/birkhoff-garrett.bib",
note = "Part 1. See also \cite{Escott:1934:PSA}.",
acknowledgement = ack-nhfb,
fjournal = "American Mathematical Monthly",
journal-URL = "http://www.jstor.org/journals/00029890.html",
}
@Article{Escott:1935:PSA,
author = "E. B. Escott and F. D. Rigby and Hansraj Gupta and E.
E. Strock and Morgan Ward",
title = "Problems and Solutions: Advanced Problems: 3673",
journal = j-AMER-MATH-MONTHLY,
volume = "42",
number = "8",
pages = "516--518",
month = oct,
year = "1935",
CODEN = "AMMYAE",
ISSN = "0002-9890 (print), 1930-0972 (electronic)",
ISSN-L = "0002-9890",
bibdate = "Mon Jun 28 12:37:55 MDT 1999",
bibsource = "http://www.jstor.org/journals/00029890.htm;
https://www.math.utah.edu/pub/bibnet/authors/b/birkhoff-garrett.bib",
note = "See also \cite{Escott:1934:PSA}.",
acknowledgement = ack-nhfb,
fjournal = "American Mathematical Monthly",
journal-URL = "http://www.jstor.org/journals/00029890.html",
}
@Article{Gaines:1935:PSS,
author = "R. E. Gaines and C. L. Weaver",
title = "Problems and Solutions: Solutions: 3676",
journal = j-AMER-MATH-MONTHLY,
volume = "42",
number = "8",
pages = "522--525",
month = oct,
year = "1935",
CODEN = "AMMYAE",
ISSN = "0002-9890 (print), 1930-0972 (electronic)",
ISSN-L = "0002-9890",
bibdate = "Mon Jun 28 12:37:55 MDT 1999",
bibsource = "http://www.jstor.org/journals/00029890.htm;
https://www.math.utah.edu/pub/bibnet/authors/b/birkhoff-garrett.bib",
note = "See also \cite{Escott:1934:PSA}.",
acknowledgement = ack-nhfb,
fjournal = "American Mathematical Monthly",
journal-URL = "http://www.jstor.org/journals/00029890.html",
}
@Article{Grossman:1935:PSAc,
author = "H. Grossman and Harry Langman",
title = "Problems and Solutions: Advanced Problems: 3675",
journal = j-AMER-MATH-MONTHLY,
volume = "42",
number = "8",
pages = "521--522",
month = oct,
year = "1935",
CODEN = "AMMYAE",
ISSN = "0002-9890 (print), 1930-0972 (electronic)",
ISSN-L = "0002-9890",
bibdate = "Mon Jun 28 12:37:55 MDT 1999",
bibsource = "http://www.jstor.org/journals/00029890.htm;
https://www.math.utah.edu/pub/bibnet/authors/b/birkhoff-garrett.bib",
note = "See also \cite{Escott:1934:PSA}.",
acknowledgement = ack-nhfb,
fjournal = "American Mathematical Monthly",
journal-URL = "http://www.jstor.org/journals/00029890.html",
}
@Article{Jones:1935:PSAb,
author = "B. W. Jones and E. E. Strock",
title = "Problems and Solutions: Advanced Problems: Solutions:
3678",
journal = j-AMER-MATH-MONTHLY,
volume = "42",
number = "9",
pages = "577--579",
month = nov,
year = "1935",
CODEN = "AMMYAE",
ISSN = "0002-9890 (print), 1930-0972 (electronic)",
ISSN-L = "0002-9890",
bibdate = "Fri Jul 9 08:04:38 MDT 1999",
bibsource = "http://www.jstor.org/journals/00029890.htm;
https://www.math.utah.edu/pub/bibnet/authors/b/birkhoff-garrett.bib",
note = "Part 1. See also \cite{Escott:1934:PSA}.",
acknowledgement = ack-nhfb,
fjournal = "American Mathematical Monthly",
journal-URL = "http://www.jstor.org/journals/00029890.html",
}
@Article{Ore:1937:PSA,
author = "{\O}ystein {\O}re and M. F. Becker",
title = "Problems and Solutions: Advanced Problems: 3638",
journal = j-AMER-MATH-MONTHLY,
volume = "44",
number = "6",
pages = "395--397",
month = jun # "\slash " # jul,
year = "1937",
CODEN = "AMMYAE",
ISSN = "0002-9890 (print), 1930-0972 (electronic)",
ISSN-L = "0002-9890",
bibdate = "Mon Jun 28 12:38:35 MDT 1999",
bibsource = "http://www.jstor.org/journals/00029890.htm;
https://www.math.utah.edu/pub/bibnet/authors/b/birkhoff-garrett.bib",
note = "See also \cite{Anning:1933:PSA}.",
acknowledgement = ack-nhfb,
fjournal = "American Mathematical Monthly",
journal-URL = "http://www.jstor.org/journals/00029890.html",
}
@Article{Sarton:1937:EG,
author = "George Sarton",
title = "{{\'E}variste Galois}",
journal = j-OSIRIS,
volume = "3",
number = "??",
pages = "241--259",
month = "????",
year = "1937",
CODEN = "OSIRAX",
DOI = "https://doi.org/10.2307/301589",
ISSN = "0369-7827 (print), 1933-8287 (electronic)",
ISSN-L = "0369-7827",
bibdate = "Mon Mar 30 15:08:56 MDT 2015",
bibsource = "http://www.jstor.org/action/showPublication?journalCode=osiris;
http://www.jstor.org/stable/i213314;
https://www.math.utah.edu/pub/bibnet/authors/b/birkhoff-garrett.bib;
https://www.math.utah.edu/pub/bibnet/authors/i/infeld-leopold.bib;
https://www.math.utah.edu/pub/tex/bib/osiris.bib",
URL = "http://www.jstor.org/stable/301589",
ZMnumber = "0018.19701",
acknowledgement = ack-nhfb,
author-dates = "Garrett Birkhoff (19 January 1911--22 November 1996)",
fjournal = "Osiris",
journal-URL = "http://www.jstor.org/page/journal/osiris/about.html",
remark = "From the preface: ``The text is the same as in the
first edition except for minor corrections, but there
has been added to it: (1) A study on Galois and group
theory by Garrett Birkhoff (Harvard University). (2) A
short bibliography by myself. (3) Galois's portrait and
an autograph, both derived from Paul Dupuy's
fundamental memoir of 1896.",
ZBmath = "3029101",
}
@Book{Southwell:1946:RMT,
author = "R. V. (Richard Vynne) {Southwell, F.R.S.}",
title = "Relaxation Methods in Theoretical Physics: a
Continuation of the Treatise, Relaxation Methods in
Engineering Science",
publisher = pub-OXFORD,
address = pub-OXFORD:adr,
pages = "vi + 1 + 248",
year = "1946",
LCCN = "QA431 .S6",
bibdate = "Sun Oct 29 07:18:33 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/birkhoff-garrett.bib",
note = "Two volumes.",
acknowledgement = ack-nhfb,
author-dates = "Sir Richard Vynne Southwell (2 July 1888--9 December
1970)",
}
@Article{Frankel:1950:CRI,
author = "Stanley P. Frankel",
title = "Convergence Rates of Iterative Treatments of Partial
Differential Equations",
journal = j-MATH-TABLES-OTHER-AIDS-COMPUT,
volume = "4",
number = "30",
pages = "65--75",
month = apr,
year = "1950",
CODEN = "MTTCAS",
ISSN = "0891-6837 (print), 2326-4853 (electronic)",
ISSN-L = "0891-6837",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/birkhoff-garrett.bib;
https://www.math.utah.edu/pub/tex/bib/mathcomp1950.bib;
JSTOR database",
acknowledgement = ack-nhfb,
fjournal = "Mathematical Tables and Other Aids to Computation",
journal-URL = "http://www.ams.org/mcom/",
}
@PhdThesis{Young:1950:IMS,
author = "David M. Young",
title = "Iterative methods for solving partial differential
equations of elliptic type",
type = "{Ph.D.} dissertation",
school = "Harvard University",
address = "Cambridge, MA, USA",
year = "1950",
bibdate = "Tue Feb 15 09:45:13 2011",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/birkhoff-garrett.bib;
https://www.math.utah.edu/pub/bibnet/authors/y/young-david-m.bib",
acknowledgement = ack-nhfb,
advisor = "Garrett Birkhoff",
}
@Article{Shortley:1953:UTP,
author = "George Shortley",
title = "Use of {Tschebyscheff} polynomial operators in the
numerical solution of boundary value problems",
journal = j-J-APPL-PHYS,
volume = "24",
number = "4",
pages = "392--397",
month = apr,
year = "1953",
CODEN = "JAPIAU",
DOI = "https://doi.org/10.1063/1.1721292",
ISSN = "0021-8979 (print), 1089-7550 (electronic), 1520-8850",
ISSN-L = "0021-8979",
bibdate = "Sun Oct 29 07:14:26 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/birkhoff-garrett.bib",
URL = "https://pubs.aip.org/aip/jap/article/24/4/392/346540/Use-of-Tschebyscheff-Polynomial-Operators-in-the",
acknowledgement = ack-nhfb,
fjournal = "Journal of Applied Physics",
journal-URL = "http://aip.scitation.org/toc/jap/current",
}
@Article{Young:1953:RMS,
author = "David Young",
title = "On {Richardson}'s Method for Solving Linear Systems
with Positive Definite Matrices",
journal = j-J-MATH-PHYS-MIT,
volume = "32",
number = "1--4",
pages = "243--255",
month = apr,
year = "1953",
CODEN = "JMPHA9",
DOI = "https://doi.org/10.1002/sapm1953321243",
ISSN = "0097-1421",
ISSN-L = "0097-1421",
bibdate = "Sat Aug 19 13:35:59 MDT 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/birkhoff-garrett.bib;
https://www.math.utah.edu/pub/bibnet/authors/y/young-david-m.bib;
https://www.math.utah.edu/pub/tex/bib/jmathphysmit.bib",
URL = "https://onlinelibrary.wiley.com/doi/epdf/10.1002/sapm1953321243",
acknowledgement = ack-nhfb,
ajournal = "J. Math. Phys. (MIT)",
fjournal = "Journal of Mathematics and Physics (MIT)",
journal-URL = "http://onlinelibrary.wiley.com/journal/10.1111/(ISSN)1467-9590",
onlinedate = "April 1953",
}
@Article{Young:1954:IMS,
author = "David Young",
title = "Iterative methods for solving partial difference
equations of elliptic type",
journal = j-TRANS-AM-MATH-SOC,
volume = "76",
number = "1",
pages = "92--111",
month = jan,
year = "1954",
CODEN = "TAMTAM",
DOI = "https://doi.org/10.2307/1990745",
ISSN = "0002-9947 (print), 1088-6850 (electronic)",
ISSN-L = "0002-9947",
MRclass = "65.0X",
MRnumber = "59635",
MRreviewer = "M. Hyman",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/birkhoff-garrett.bib;
https://www.math.utah.edu/pub/bibnet/authors/y/young-david-m.bib",
fjournal = "Transactions of the American Mathematical Society",
journal-URL = "http://www.ams.org/journals/tran/",
}
@Article{Peaceman:1955:NSP,
author = "D. W. Peaceman and H. H. {Rachford, Jr.}",
title = "The Numerical Solution of Parabolic and Elliptic
Differential Equations",
journal = j-J-SIAM,
volume = "3",
number = "1",
pages = "28--41",
month = mar,
year = "1955",
CODEN = "JSIMAV",
ISSN = "0368-4245 (print), 1095-712X (electronic)",
ISSN-L = "0368-4245",
bibdate = "Thu Oct 15 18:16:06 MDT 1998",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/birkhoff-garrett.bib;
https://www.math.utah.edu/pub/tex/bib/siam.bib; JSTOR
database",
acknowledgement = ack-nhfb,
fjournal = "Journal of the Society for Industrial and Applied
Mathematics",
journal-URL = "http://epubs.siam.org/loi/smjmap.1",
}
@Article{Douglas:1956:NSH,
author = "J. {Douglas, Jr.} and H. H. {Rachford, Jr.}",
title = "On the numerical solution of heat conduction problems
in two or three space variables",
journal = j-TRANS-AM-MATH-SOC,
volume = "82",
number = "2",
pages = "421--439",
month = jul,
year = "1956",
CODEN = "TAMTAM",
DOI = "https://doi.org/10.2307/1993056",
ISSN = "0002-9947 (print), 1088-6850 (electronic)",
ISSN-L = "0002-9947",
MRclass = "65.3X",
MRnumber = "MR0084194",
MRreviewer = "Charles Saltzer",
bibdate = "Sun Oct 29 06:45:51 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/birkhoff-garrett.bib",
acknowledgement = ack-nhfb,
fjournal = "Transactions of the American Mathematical Society",
journal-URL = "http://www.ams.org/journals/tran/",
received = "21 December 1955 (presented 27 December 1955)",
}
@Article{Brainerd:1960:BPM,
author = "Barron Brainerd",
title = "On {Birkhoff}'s problem 73 for monoids",
journal = j-CAN-MATH-BULL,
volume = "3",
number = "??",
pages = "217--220",
month = "????",
year = "1960",
CODEN = "CMBUA3",
DOI = "https://doi.org/10.4153/CMB-1960-026-3",
ISSN = "0008-4395 (print), 1496-4287 (electronic)",
ISSN-L = "0008-4395",
MRclass = "20.93",
MRnumber = "0124428 (23 \#A1740)",
MRreviewer = "G. B. Preston",
bibdate = "Thu Sep 8 10:02:58 MDT 2011",
bibsource = "http://cms.math.ca/cmb/v3/;
https://www.math.utah.edu/pub/bibnet/authors/b/birkhoff-garrett.bib;
https://www.math.utah.edu/pub/tex/bib/canmathbull.bib;
MathSciNet database",
acknowledgement = ack-nhfb,
fjournal = "Canadian Mathematical Bulletin. Bulletin Canadien de
Math{\'e}matiques",
journal-URL = "http://cms.math.ca/cmb/",
subject-dates = "Garrett Birkhoff (19 January 1911--22 November
1996)",
}
@Article{Johnson:1960:AGB,
author = "Diane M. Johnson and A. L. Dulmage and N. S.
Mendelsohn",
title = "On an algorithm of {G. Birkhoff} concerning doubly
stochastic matrices",
journal = j-CAN-MATH-BULL,
volume = "3",
number = "??",
pages = "237--242",
month = "????",
year = "1960",
CODEN = "CMBUA3",
DOI = "https://doi.org/10.4153/CMB-1960-029-5",
ISSN = "0008-4395 (print), 1496-4287 (electronic)",
ISSN-L = "0008-4395",
MRclass = "15.65",
MRnumber = "0130267 (24 \#A133)",
MRreviewer = "M. Marcus",
bibdate = "Thu Sep 8 10:02:58 MDT 2011",
bibsource = "http://cms.math.ca/cmb/v3/;
https://www.math.utah.edu/pub/bibnet/authors/b/birkhoff-garrett.bib;
https://www.math.utah.edu/pub/tex/bib/canmathbull.bib;
MathSciNet database",
acknowledgement = ack-nhfb,
fjournal = "Canadian Mathematical Bulletin. Bulletin Canadien de
Math{\'e}matiques",
journal-URL = "http://cms.math.ca/cmb/",
subject-dates = "Garrett Birkhoff (19 January 1911--22 November
1996)",
}
@Article{Howlett:1962:BRB,
author = "J. Howlett",
title = "Book Review: {{\booktitle{Proceedings of Symposia in
Applied Mathematics, vol. XI, Nuclear Reactor Theory}},
by G. Birkhoff and E. P. Wigner}",
journal = j-MATH-GAZ,
volume = "46",
number = "357",
pages = "248--250",
month = oct,
year = "1962",
CODEN = "MAGAAS",
ISSN = "0025-5572 (print), 2056-6328 (electronic)",
bibdate = "Sat Jul 28 18:44:10 MDT 2012",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/birkhoff-garrett.bib;
https://www.math.utah.edu/pub/bibnet/authors/w/wigner-eugene.bib",
URL = "http://www.jstor.org/stable/3614048",
acknowledgement = ack-nhfb,
fjournal = "Mathematical Gazette",
journal-URL = "http://www.m-a.org.uk/jsp/index.jsp?lnk=620",
subject-dates = "Garrett Birkhoff (19 January 1911--22 November
1996)",
}
@Article{Secrest:1962:BRB,
author = "E. Leigh Secrest",
title = "Book Review: {{\booktitle{Proceedings of the Eleventh
Symposium in Applied Mathematics of the American
Mathematical Society}}, edited by Birkhoff and
Wigner}",
journal = j-MATH-MAG,
volume = "35",
number = "5",
pages = "307--308",
month = nov,
year = "1962",
CODEN = "MAMGA8",
ISSN = "0025-570X",
bibdate = "Sat Jul 28 18:44:10 MDT 2012",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/birkhoff-garrett.bib;
https://www.math.utah.edu/pub/bibnet/authors/w/wigner-eugene.bib",
URL = "http://www.jstor.org/stable/2688212",
acknowledgement = ack-nhfb,
fjournal = "Mathematics Magazine",
journal-URL = "http://www.maa.org/pubs/mathmag.html",
subject-dates = "Garrett Birkhoff (19 January 1911--22 November
1996)",
}
@Book{Varga:1962:MIA,
author = "Richard S. Varga",
title = "Matrix Iterative Analysis",
publisher = pub-PH,
address = pub-PH:adr,
pages = "xiii + 322",
year = "1962",
LCCN = "QA263 .V3 1962",
MRclass = "65.35 (65.65)",
MRnumber = "0158502",
MRreviewer = "A. O. Garder",
bibdate = "Wed Apr 20 14:10:28 2022",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/birkhoff-garrett.bib;
https://www.math.utah.edu/pub/bibnet/authors/t/taussky-todd-olga.bib;
https://www.math.utah.edu/pub/bibnet/authors/v/varga-richard-steven.bib;
https://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib;
https://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
https://www.math.utah.edu/pub/tex/bib/numana1990.bib",
acknowledgement = ack-nhfb,
author-dates = "Richard S. Varga (8 October 1928--25 February 2022)",
tableofcontents = "Matrix properties and concepts \\
Non-negative matrices \\
Basic iterative methods and comparison theorems \\
Successive overrelaxation iterative methods \\
Semi-iterative methods \\
Derivation and solution of elliptic difference
equations \\
Alternating-direction implicit iterative methods \\
Matrix methods for parabolic partial differential
equations \\
Estimation of acceleration parameters",
}
@Article{Antosiewicz:1963:BRO,
author = "H. A. Antosiewicz",
title = "Book Review: {{\booktitle{Ordinary Differential
Equations}} (G. Birkhoff and G. C. Rota)}",
journal = j-SIAM-REVIEW,
volume = "5",
number = "2",
pages = "160--161",
month = "????",
year = "1963",
CODEN = "SIREAD",
DOI = "https://doi.org/10.1137/1005043",
ISSN = "0036-1445 (print), 1095-7200 (electronic)",
ISSN-L = "0036-1445",
bibdate = "Thu Mar 27 09:05:02 MDT 2014",
bibsource = "http://epubs.siam.org/toc/siread/5/2;
https://www.math.utah.edu/pub/bibnet/authors/b/birkhoff-garrett.bib;
https://www.math.utah.edu/pub/tex/bib/siamreview.bib",
acknowledgement = ack-nhfb,
fjournal = "SIAM Review",
journal-URL = "http://epubs.siam.org/sirev",
onlinedate = "April 1963",
subject-dates = "Garrett Birkhoff (19 January 1911--22 November
1996)",
}
@Article{Cuthill:1963:BRB,
author = "Elizabeth Cuthill",
title = "Book Review: {{\booktitle{Proceedings of Symposia in
Applied Mathematics, vol. XI, Nuclear Reactor Theory}},
by G. Birkhoff and E. P. Wigner}",
journal = j-MATH-COMPUT,
volume = "17",
number = "84",
pages = "475--476",
month = oct,
year = "1963",
CODEN = "MCMPAF",
ISSN = "0025-5718 (print), 1088-6842 (electronic)",
ISSN-L = "0025-5718",
bibdate = "Sat Jul 28 18:44:10 MDT 2012",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/birkhoff-garrett.bib;
https://www.math.utah.edu/pub/bibnet/authors/w/wigner-eugene.bib",
URL = "http://www.jstor.org/stable/2004032",
acknowledgement = ack-nhfb,
fjournal = "Mathematics of Computation",
journal-URL = "http://www.ams.org/mcom/",
subject-dates = "Garrett Birkhoff (19 January 1911--22 November
1996)",
}
@Article{Langenhop:1963:RPP,
author = "C. E. Langenhop",
title = "Recent Publications and Presentations: {{\em Ordinary
Differential Equations}}, by {G. Birkhoff and G.-C.
Rota}",
journal = j-AMER-MATH-MONTHLY,
volume = "70",
number = "7",
pages = "777--778",
month = aug # "\slash " # sep,
year = "1963",
CODEN = "AMMYAE",
DOI = "https://doi.org/10.2307/2312290",
ISSN = "0002-9890 (print), 1930-0972 (electronic)",
ISSN-L = "0002-9890",
bibdate = "Mon Jun 28 12:37:11 MDT 1999",
bibsource = "http://www.jstor.org/journals/00029890.htm;
https://www.math.utah.edu/pub/bibnet/authors/b/birkhoff-garrett.bib",
acknowledgement = ack-nhfb,
fjournal = "American Mathematical Monthly",
journal-URL = "http://www.jstor.org/journals/00029890.html",
subject-dates = "Garrett Birkhoff (19 January 1911--22 November
1996)",
}
@Article{Stiefel:1965:PRT,
author = "Eduard Stiefel and J{\"o}rg Waldvogel",
title = "Probl{\`e}me restreint des trois corps.
{G}{\'e}n{\'e}ralisation de la r{\'e}gularisation de
{Birkhoff} pour le mouvement du mobile dans l'espace
{\`a} trois dimensions. ({French}) [{Restricted}
problem of three bodies. {Generalization} of the
{Birkhoff} regularization for the motion of the mobile
in three-dimensional space]",
journal = j-C-R-ACAD-SCI-PARIS,
volume = "260",
pages = "805",
year = "1965",
ISSN = "0001-4036 (print), 2419-6304 (electronic)",
ISSN-L = "0001-4036",
MRclass = "85.34 (70.34)",
MRnumber = "174367",
MRreviewer = "E. Leimanis",
bibdate = "Wed Sep 2 16:23:13 2020",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/birkhoff-garrett.bib;
https://www.math.utah.edu/pub/bibnet/authors/s/stiefel-eduard.bib",
acknowledgement = ack-nhfb,
author-dates = "Eduard Stiefel (21 April 1909--25 November 1978)",
fjournal = "Comptes Rendus Hebdomadaires des S\'{e}ances de
l'Acad\'{e}mie des Sciences",
journal-URL = "http://gallica.bnf.fr/ark:/12148/cb343481087/date",
language = "French",
subject-dates = "Garrett Birkhoff (19 January 1911--22 November
1996)",
}
@Article{Gumbel:1966:BRS,
author = "E. J. Gumbel",
title = "Book Review: {{\booktitle{Selected Papers of Richard
von Mises. edited by Ph. Frank, S. Goldstein, M. Kac,
W. Prager, G. Szeg{\H{o}}, and G. Birkhoff. Volume I
Geometry, Mechanics, Analysis. Volume II ---
Probability and Statistics}}. American Mathematical
Society. Providence, Rhode Island}",
journal = j-ECONOMETRICA,
volume = "34",
number = "1",
pages = "251--253",
month = jan,
year = "1966",
CODEN = "ECMTA7",
DOI = "https://doi.org/10.2307/1909881",
ISSN = "0012-9682",
bibdate = "Mon Oct 30 15:09:16 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/birkhoff-garrett.bib",
URL = "http://www.jstor.org/stable/1909881",
acknowledgement = ack-nhfb,
fjournal = "Econometrica",
journal-URL = "http://www.jstor.org/journal/econometrica",
subject-dates = "Garrett Birkhoff (19 January 1911--22 November
1996)",
}
@Article{Austin:1967:NBE,
author = "D. G. Austin",
title = "A Note on the {Birkhoff} Ergodic Theorem",
journal = j-ANN-MATH-STAT,
volume = "38",
number = "3",
pages = "922--923",
month = jun,
year = "1967",
CODEN = "AASTAD",
DOI = "https://doi.org/10.1214/aoms/1177698887",
ISSN = "0003-4851 (print), 2168-8990 (electronic)",
ISSN-L = "0003-4851",
MRclass = "28.70",
MRnumber = "0222248 (36 \#5300)",
MRreviewer = "W. Parry",
bibdate = "Sat May 31 09:11:10 MDT 2014",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/birkhoff-garrett.bib;
https://www.math.utah.edu/pub/tex/bib/annmathstat.bib",
URL = "http://projecteuclid.org/euclid.aoms/1177698887",
acknowledgement = ack-nhfb,
fjournal = "Annals of Mathematical Statistics",
journal-URL = "http://projecteuclid.org/all/euclid.aoms/",
subject-dates = "Garrett Birkhoff (19 January 1911--22 November
1996)",
}
@Article{Barrar:1967:PFP,
author = "Richard B. Barrar",
title = "Proof of the fixed point theorems of {Poincar{\'e}}
and {Birkhoff}",
journal = j-CAN-J-MATH,
volume = "19",
number = "??",
pages = "333--343",
month = "????",
year = "1967",
CODEN = "CJMAAB",
DOI = "https://doi.org/10.4153/CJM-1967-024-5",
ISSN = "0008-414X (print), 1496-4279 (electronic)",
ISSN-L = "0008-414X",
bibdate = "Sat Sep 10 15:38:36 MDT 2011",
bibsource = "http://cms.math.ca/cjm/v19/;
https://www.math.utah.edu/pub/bibnet/authors/b/birkhoff-garrett.bib;
https://www.math.utah.edu/pub/tex/bib/canjmath1960.bib",
acknowledgement = ack-nhfb,
fjournal = "Canadian Journal of Mathematics = Journal canadien de
math{\'e}matiques",
journal-URL = "http://cms.math.ca/cjm/",
subject-dates = "Garrett Birkhoff (19 January 1911--22 November
1996)",
}
@Article{Mewborn:1967:RAS,
author = "A. C. Mewborn",
title = "Reviews: {{\em Algebra}}, by {Saunders Mac Lane and
Garrett Birkhoff}",
journal = j-AMER-MATH-MONTHLY,
volume = "74",
number = "10",
pages = "1279--1279",
month = dec,
year = "1967",
CODEN = "AMMYAE",
DOI = "https://doi.org/10.2307/2315715",
ISSN = "0002-9890 (print), 1930-0972 (electronic)",
ISSN-L = "0002-9890",
bibdate = "Mon Jun 28 12:38:50 MDT 1999",
bibsource = "http://www.jstor.org/journals/00029890.htm;
https://www.math.utah.edu/pub/bibnet/authors/b/birkhoff-garrett.bib",
acknowledgement = ack-nhfb,
fjournal = "American Mathematical Monthly",
journal-URL = "http://www.jstor.org/journals/00029890.html",
subject-dates = "Garrett Birkhoff (19 January 1911--22 November
1996)",
}
@Article{G:1968:BRD,
author = "W. G.",
title = "Book Review: {Donald Greenspan, editor,
\booktitle{Numerical Solutions of Nonlinear
Differential Equations}, John Wiley \& Sons, Inc., New
York, 1966, x + 347 pp.}",
journal = j-MATH-COMPUT,
volume = "22",
number = "104",
pages = "896--898",
month = oct,
year = "1968",
CODEN = "MCMPAF",
DOI = "https://doi.org/10.2307/2004598",
ISSN = "0025-5718 (print), 1088-6842 (electronic)",
ISSN-L = "0025-5718",
bibdate = "Wed Nov 1 10:55:04 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/birkhoff-garrett.bib;
https://www.math.utah.edu/pub/bibnet/authors/g/gautschi-walter.bib;
https://www.math.utah.edu/pub/tex/bib/mathcomp1960.bib",
URL = "https://doi.org/10.2307/2004598",
acknowledgement = ack-nhfb,
fjournal = "Mathematics of Computation",
journal-URL = "http://www.ams.org/mcom/",
}
@Article{Sharma:1968:AHB,
author = "A. Sharma and J. Prasad",
title = "On {Abel--Hermite--Birkhoff} Interpolation",
journal = j-SIAM-J-NUMER-ANAL,
volume = "5",
number = "4",
pages = "864--881",
month = dec,
year = "1968",
CODEN = "SJNAAM",
ISSN = "0036-1429 (print), 1095-7170 (electronic)",
ISSN-L = "0036-1429",
bibdate = "Fri Oct 16 06:57:22 MDT 1998",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/birkhoff-garrett.bib;
https://www.math.utah.edu/pub/tex/bib/siamjnumeranal.bib;
JSTOR database",
acknowledgement = ack-nhfb,
fjournal = "SIAM Journal on Numerical Analysis",
journal-URL = "http://epubs.siam.org/sinum",
subject-dates = "Garrett Birkhoff (19 January 1911--22 November
1996)",
}
@Article{Atkinson:1969:PCP,
author = "K. Atkinson and A. Sharma",
title = "A Partial Characterization of Poised
{Hermite--Birkhoff} Interpolation Problems",
journal = j-SIAM-J-NUMER-ANAL,
volume = "6",
number = "2",
pages = "230--235",
month = jun,
year = "1969",
CODEN = "SJNAAM",
ISSN = "0036-1429 (print), 1095-7170 (electronic)",
ISSN-L = "0036-1429",
bibdate = "Fri Oct 16 06:57:22 MDT 1998",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/birkhoff-garrett.bib;
https://www.math.utah.edu/pub/tex/bib/siamjnumeranal.bib;
JSTOR database",
acknowledgement = ack-nhfb,
fjournal = "SIAM Journal on Numerical Analysis",
journal-URL = "http://epubs.siam.org/sinum",
subject-dates = "Garrett Birkhoff (19 January 1911--22 November
1996)",
}
@Article{Gladwell:1969:SEP,
author = "Ian Gladwell",
title = "Some Extensions of a Paper by {Birkhoff} and
{Priver}",
journal = j-SIAM-J-NUMER-ANAL,
volume = "6",
number = "2",
pages = "294--298",
month = jun,
year = "1969",
CODEN = "SJNAAM",
ISSN = "0036-1429 (print), 1095-7170 (electronic)",
ISSN-L = "0036-1429",
bibdate = "Fri Oct 16 06:57:22 MDT 1998",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/birkhoff-garrett.bib;
https://www.math.utah.edu/pub/tex/bib/siamjnumeranal.bib;
JSTOR database",
acknowledgement = ack-nhfb,
fjournal = "SIAM Journal on Numerical Analysis",
journal-URL = "http://epubs.siam.org/sinum",
subject-dates = "Garrett Birkhoff (19 January 1911--22 November
1996)",
}
@Article{Schechter:1969:HBI,
author = "Murray Schechter",
title = "{Hermite--Birkhoff} Interpolation Problems with
Complex Nodes",
journal = j-AMER-MATH-MONTHLY,
volume = "76",
number = "10",
pages = "1119--1122",
month = dec,
year = "1969",
CODEN = "AMMYAE",
DOI = "https://doi.org/10.2307/2317184",
ISSN = "0002-9890 (print), 1930-0972 (electronic)",
ISSN-L = "0002-9890",
bibdate = "Mon Jun 28 12:39:36 MDT 1999",
bibsource = "http://www.jstor.org/journals/00029890.htm;
https://www.math.utah.edu/pub/bibnet/authors/b/birkhoff-garrett.bib",
acknowledgement = ack-nhfb,
fjournal = "American Mathematical Monthly",
journal-URL = "http://www.jstor.org/journals/00029890.html",
subject-dates = "Garrett Birkhoff (19 January 1911--22 November
1996)",
}
@Article{Boyling:1970:BGF,
author = "J. B. Boyling",
title = "{Birkhoff} Gravitational Field of {Milne}'s Universe",
journal = j-J-MATH-PHYS,
volume = "11",
number = "3",
pages = "867--870",
month = mar,
year = "1970",
CODEN = "JMAPAQ",
DOI = "https://doi.org/10.1063/1.1665225",
ISSN = "0022-2488 (print), 1089-7658 (electronic), 1527-2427",
ISSN-L = "0022-2488",
bibdate = "Fri Oct 28 16:39:23 MDT 2011",
bibsource = "http://jmp.aip.org/;
https://www.math.utah.edu/pub/bibnet/authors/b/birkhoff-garrett.bib;
https://www.math.utah.edu/pub/tex/bib/jmathphys1970.bib",
URL = "http://jmp.aip.org/resource/1/jmapaq/v11/i3/p867_s1",
acknowledgement = ack-nhfb,
classification = "A0330 (Special relativity); A9880 (Cosmology)",
corpsource = "Univ. Leeds, UK",
fjournal = "Journal of Mathematical Physics",
journal-URL = "http://jmp.aip.org/",
keywords = "astronomical spectra; cosmology; gravitation",
onlinedate = "28 October 2003",
pagecount = "4",
subject-dates = "Garrett Birkhoff (19 January 1911--22 November
1996)",
}
@Article{Bewley:1971:EBN,
author = "Truman Bewley",
title = "Extension of the {Birkhoff} and {von Neumann} ergodic
theorems to semigroup actions",
journal = j-ANN-INST-HENRI-POINCARE-N-S-B-CALC-PROBAB-STAT,
volume = "7",
number = "4",
pages = "283--291",
month = oct # "--" # dec,
year = "1971",
CODEN = "AHPBAR",
ISSN = "0020-2347",
ISSN-L = "0020-2347",
MRnumber = "306444",
bibdate = "Mon Jun 9 05:30:47 MDT 2014",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/birkhoff-garrett.bib;
https://www.math.utah.edu/pub/tex/bib/annihpb.bib",
URL = "http://www.numdam.org/item?id=AIHPB_1971__7_4_283_0",
ZMnumber = "0226.28009",
acknowledgement = ack-nhfb,
fjournal = "Annales de l'Institut Henri Poincar{\'e}. Nouvelle
s{\'e}rie. Section B. Calcul des Probabilit{\'e}s et
Statistique",
journal-URL = "http://www.numdam.org/numdam-bin/feuilleter?j=AIHPB",
subject-dates = "Garrett Birkhoff (19 January 1911--22 November
1996)",
}
@Article{Bogart:1971:RAS,
author = "K. P. Bogart",
title = "Reviews: {{\em Algebra}}, by {Saunders Mac Lane and
Garret Birkhoff}",
journal = j-AMER-MATH-MONTHLY,
volume = "78",
number = "1",
pages = "92--93",
month = jan,
year = "1971",
CODEN = "AMMYAE",
DOI = "https://doi.org/10.2307/2317507",
ISSN = "0002-9890 (print), 1930-0972 (electronic)",
ISSN-L = "0002-9890",
bibdate = "Mon Jun 28 12:36:11 MDT 1999",
bibsource = "http://www.jstor.org/journals/00029890.htm;
https://www.math.utah.edu/pub/bibnet/authors/b/birkhoff-garrett.bib",
acknowledgement = ack-nhfb,
fjournal = "American Mathematical Monthly",
journal-URL = "http://www.jstor.org/journals/00029890.html",
subject-dates = "Garrett Birkhoff (19 January 1911--22 November
1996)",
}
@Article{Lorentz:1971:BI,
author = "G. G. Lorentz and K. L. Zeller",
title = "{Birkhoff} Interpolation",
journal = j-SIAM-J-NUMER-ANAL,
volume = "8",
number = "1",
pages = "43--48",
month = mar,
year = "1971",
CODEN = "SJNAAM",
ISSN = "0036-1429 (print), 1095-7170 (electronic)",
ISSN-L = "0036-1429",
bibdate = "Fri Oct 16 06:57:22 MDT 1998",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/birkhoff-garrett.bib;
https://www.math.utah.edu/pub/tex/bib/siamjnumeranal.bib;
JSTOR database",
acknowledgement = ack-nhfb,
fjournal = "SIAM Journal on Numerical Analysis",
journal-URL = "http://epubs.siam.org/sinum",
subject-dates = "Garrett Birkhoff (19 January 1911--22 November
1996)",
}
@Article{Klotz:1972:RMA,
author = "E. Klotz",
title = "Reviews: {{\em Modern Applied Algebra}}, by {Garrett
Birkhoff and Thomas C. Bartee}",
journal = j-AMER-MATH-MONTHLY,
volume = "79",
number = "5",
pages = "529--530",
month = may,
year = "1972",
CODEN = "AMMYAE",
DOI = "https://doi.org/10.2307/2317587",
ISSN = "0002-9890 (print), 1930-0972 (electronic)",
ISSN-L = "0002-9890",
bibdate = "Mon Jun 28 12:36:45 MDT 1999",
bibsource = "http://www.jstor.org/journals/00029890.htm;
https://www.math.utah.edu/pub/bibnet/authors/b/birkhoff-garrett.bib",
acknowledgement = ack-nhfb,
fjournal = "American Mathematical Monthly",
journal-URL = "http://www.jstor.org/journals/00029890.html",
subject-dates = "Garrett Birkhoff (19 January 1911--22 November
1996)",
}
@Article{Chalmers:1974:RRH,
author = "B. L. Chalmers and D. J. Johnson and F. T. Metcalf and
G. D. Taylor",
title = "Remarks on the Rank of {Hermite--Birkhoff}
Interpolation",
journal = j-SIAM-J-NUMER-ANAL,
volume = "11",
number = "2",
pages = "254--259",
month = apr,
year = "1974",
CODEN = "SJNAAM",
ISSN = "0036-1429 (print), 1095-7170 (electronic)",
ISSN-L = "0036-1429",
bibdate = "Fri Oct 16 06:57:22 MDT 1998",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/birkhoff-garrett.bib;
https://www.math.utah.edu/pub/tex/bib/siamjnumeranal.bib;
JSTOR database",
acknowledgement = ack-nhfb,
fjournal = "SIAM Journal on Numerical Analysis",
journal-URL = "http://epubs.siam.org/sinum",
subject-dates = "Garrett Birkhoff (19 January 1911--22 November
1996)",
}
@Article{Ferguson:1974:SCM,
author = "David R. Ferguson",
title = "Sign Changes and Minimal Support Properties of
{Hermite--Birkhoff} Splines with Compact Support",
journal = j-SIAM-J-NUMER-ANAL,
volume = "11",
number = "4",
pages = "769--779",
month = sep,
year = "1974",
CODEN = "SJNAAM",
ISSN = "0036-1429 (print), 1095-7170 (electronic)",
ISSN-L = "0036-1429",
bibdate = "Fri Oct 16 06:57:22 MDT 1998",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/birkhoff-garrett.bib;
https://www.math.utah.edu/pub/tex/bib/siamjnumeranal.bib;
JSTOR database",
acknowledgement = ack-nhfb,
fjournal = "SIAM Journal on Numerical Analysis",
journal-URL = "http://epubs.siam.org/sinum",
subject-dates = "Garrett Birkhoff (19 January 1911--22 November
1996)",
}
@Article{Makela:1974:EFM,
author = "Matti M{\"a}kel{\"a} and Olavi Nevanlinna and Aarne H.
Sipil{\"a}",
title = "Exponentially Fitted Multistep Methods by Generalized
{Hermite--Birkhoff} Interpolation",
journal = j-BIT,
volume = "14",
number = "4",
pages = "437--451",
month = dec,
year = "1974",
CODEN = "BITTEL, NBITAB",
DOI = "https://doi.org/10.1007/BF01932540",
ISSN = "0006-3835 (print), 1572-9125 (electronic)",
ISSN-L = "0006-3835",
bibdate = "Wed Jan 4 18:52:13 MST 2006",
bibsource = "http://springerlink.metapress.com/openurl.asp?genre=issue&issn=0006-3835&volume=14&issue=4;
https://www.math.utah.edu/pub/bibnet/authors/b/birkhoff-garrett.bib;
https://www.math.utah.edu/pub/tex/bib/bit.bib",
URL = "http://www.springerlink.com/openurl.asp?genre=article&issn=0006-3835&volume=14&issue=4&spage=437",
acknowledgement = ack-nhfb,
fjournal = "BIT (Nordisk tidskrift for informationsbehandling)",
journal-URL = "http://link.springer.com/journal/10543",
subject-dates = "Garrett Birkhoff (19 January 1911--22 November
1996)",
}
@Article{Grattan-Guinness:1975:BRMa,
author = "I. Grattan-Guinness",
title = "Book Review: {Mathematics: A Source Book in Classical
Analysis. Ed. by G. Birkhoff, with the assistance of U.
Merzbach. Cambridge, Mass: Harvard University Press,
1973. Pp. xii + 470. \pounds 12.50}",
journal = j-BRITISH-J-HIST-SCI,
volume = "8",
number = "2",
pages = "176--177",
month = jul,
year = "1975",
CODEN = "BJHSAT",
DOI = "https://doi.org/10.1017/S0007087400014035",
ISSN = "0007-0874 (print), 1474-001X (electronic)",
ISSN-L = "0007-0874",
bibdate = "Thu Sep 23 07:34:43 MDT 2010",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/birkhoff-garrett.bib;
https://www.math.utah.edu/pub/tex/bib/bjhs.bib",
URL = "http://www.jstor.org/stable/4025644",
acknowledgement = ack-nhfb,
fjournal = "British Journal for the History of Science",
journal-URL = "http://journals.cambridge.org/action/displayJournal?jid=BJH",
subject-dates = "Garrett Birkhoff (19 January 1911--22 November
1996)",
}
@Article{Koppelman:1975:BRB,
author = "Elaine Koppelman",
title = "Book Review: {{\booktitle{A Source Book in Classical
Analysis}} by Garrett Birkhoff; Uta Merzbach}",
journal = j-ISIS,
volume = "66",
number = "2",
pages = "284--285",
month = jun,
year = "1975",
CODEN = "ISISA4",
ISSN = "0021-1753 (print), 1545-6994 (electronic)",
ISSN-L = "0021-1753",
bibdate = "Tue Jul 30 21:29:18 MDT 2013",
bibsource = "http://www.jstor.org/action/showPublication?journalCode=isis;
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https://www.math.utah.edu/pub/tex/bib/isis1970.bib",
URL = "http://www.jstor.org/stable/229444",
acknowledgement = ack-nhfb,
fjournal = "Isis",
journal-URL = "http://www.jstor.org/journal/isis",
subject-dates = "Garrett Birkhoff (19 January 1911--22 November
1996)",
}
@Article{Lether:1976:BYQ,
author = "Frank Lether",
title = "On {Birkhoff--Young} quadrature of analytical
functions",
journal = j-J-COMPUT-APPL-MATH,
volume = "2",
number = "2",
pages = "81--84",
month = jun,
year = "1976",
CODEN = "JCAMDI",
ISSN = "0377-0427 (print), 1879-1778 (electronic)",
ISSN-L = "0377-0427",
bibdate = "Sat Feb 25 11:59:14 MST 2017",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/birkhoff-garrett.bib;
https://www.math.utah.edu/pub/tex/bib/jcomputapplmath1970.bib",
URL = "http://www.sciencedirect.com/science/article/pii/0771050X76900127",
acknowledgement = ack-nhfb,
fjournal = "Journal of Computational and Applied Mathematics",
journal-URL = "http://www.sciencedirect.com/science/journal/03770427",
subject-dates = "Garrett Birkhoff (19 January 1911--22 November
1996)",
}
@Article{Anonymous:1977:BRSd,
author = "Anonymous",
title = "Book Review: {{\booktitle{A source book in classical
analysis}}: Edited by Garrett Birkhoff with the
assistance of Uta Merzbach. Cambridge, Mass. (Harvard
University Press). 1973}",
journal = j-HIST-MATH,
volume = "4",
number = "3",
pages = "364--365",
month = aug,
year = "1977",
CODEN = "HIMADS",
ISSN = "0315-0860 (print), 1090-249X (electronic)",
ISSN-L = "0315-0860",
bibdate = "Wed Jun 26 06:16:47 MDT 2013",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/birkhoff-garrett.bib;
https://www.math.utah.edu/pub/tex/bib/histmath.bib",
URL = "http://www.sciencedirect.com/science/article/pii/0315086077900726",
acknowledgement = ack-nhfb,
fjournal = "Historia Mathematica",
journal-URL = "http://www.sciencedirect.com/science/journal/03150860/",
subject-dates = "Garrett Birkhoff (19 January 1911--22 November
1996)",
}
@Article{Horndeski:1978:BTM,
author = "Gregory Walter Horndeski",
title = "{Birkhoff}'s theorem and magnetic monopole solutions
for a system of generalized {Einstein--Maxwell} field
equations",
journal = j-J-MATH-PHYS,
volume = "19",
number = "3",
pages = "668--674",
month = mar,
year = "1978",
CODEN = "JMAPAQ",
DOI = "https://doi.org/10.1063/1.523710",
ISSN = "0022-2488 (print), 1089-7658 (electronic), 1527-2427",
ISSN-L = "0022-2488",
bibdate = "Sat Oct 29 11:28:18 MDT 2011",
bibsource = "http://jmp.aip.org/;
https://www.math.utah.edu/pub/bibnet/authors/b/birkhoff-garrett.bib;
https://www.math.utah.edu/pub/tex/bib/jmathphys1975.bib",
URL = "http://jmp.aip.org/resource/1/jmapaq/v19/i3/p668_s1",
acknowledgement = ack-nhfb,
classification = "A0420J (Solutions to equations in general
relativity); A0440 (Continuous media; electromagnetic
and other mixed gravitational systems)",
corpsource = "Dept. of Appl. Math., Univ. of Waterloo, Waterloo,
Ont., Canada",
fjournal = "Journal of Mathematical Physics",
journal-URL = "http://jmp.aip.org/",
keywords = "Birkhoff's theorem; electromagnetic field theory;
general relativity; generalised Einstein Maxwell
equations; magnetic monopole solutions; magnetic
monopoles",
onlinedate = "11 August 2008",
pagecount = "7",
subject-dates = "Garrett Birkhoff (19 January 1911--22 November
1996)",
treatment = "T Theoretical or Mathematical",
}
@Article{Lutz:1979:BIM,
author = "Donald A. Lutz",
title = "{Birkhoff} invariants and meromorphic differential
equations",
journal = j-LECT-NOTES-MATH,
volume = "712",
pages = "66--76",
year = "1979",
CODEN = "LNMAA2",
DOI = "https://doi.org/10.1007/BFb0062816",
ISBN = "3-540-09250-1 (print), 3-540-35314-3 (e-book)",
ISBN-13 = "978-3-540-09250-6 (print), 978-3-540-35314-0
(e-book)",
ISSN = "0075-8434 (print), 1617-9692 (electronic)",
ISSN-L = "0075-8434",
MRclass = "34A20 (14D05)",
MRnumber = "548144 (80i:34007)",
MRreviewer = "Andrew J. Sommese",
bibdate = "Fri May 9 19:07:38 MDT 2014",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/birkhoff-garrett.bib;
https://www.math.utah.edu/pub/tex/bib/lnm1975.bib",
URL = "http://link.springer.com/chapter/10.1007/BFb0062816/",
acknowledgement = ack-nhfb,
book-DOI = "https://doi.org/10.1007/BFb0062810",
book-URL = "http://www.springerlink.com/content/978-3-540-35314-0",
fjournal = "Lecture Notes in Mathematics",
journal-URL = "http://link.springer.com/bookseries/304",
subject-dates = "Garrett Birkhoff (19 January 1911--22 November
1996)",
}
@Article{Nishi:1979:EPJ,
author = "Akihiro Nishi",
title = "An elementary proof of
{Johnson--Dulmage--Mendelsohn}'s refinement of
{Birkhoff}'s theorem on doubly stochastic matrices",
journal = j-CAN-MATH-BULL,
volume = "22",
number = "1",
pages = "81--86",
month = mar,
year = "1979",
CODEN = "CMBUA3",
DOI = "https://doi.org/10.4153/CMB-1979-011-4",
ISSN = "0008-4395 (print), 1496-4287 (electronic)",
ISSN-L = "0008-4395",
bibdate = "Thu Sep 8 10:04:53 MDT 2011",
bibsource = "http://cms.math.ca/cmb/v22/;
https://www.math.utah.edu/pub/bibnet/authors/b/birkhoff-garrett.bib;
https://www.math.utah.edu/pub/tex/bib/canmathbull.bib",
acknowledgement = ack-nhfb,
fjournal = "Canadian Mathematical Bulletin. Bulletin Canadien de
Math{\'e}matiques",
journal-URL = "http://cms.math.ca/cmb/",
subject-dates = "Garrett Birkhoff (19 January 1911--22 November
1996)",
}
@Article{Cavaretta:1980:HBI,
author = "A. S. {Cavaretta, Jr.} and A. Sharma and R. S. Varga",
title = "{Hermite--Birkhoff} interpolation in the $n$-th roots
of unity",
journal = j-TRANS-AM-MATH-SOC,
volume = "259",
number = "2",
pages = "621--628",
month = jun,
year = "1980",
CODEN = "TAMTAM",
DOI = "https://doi.org/10.2307/1998252",
ISSN = "0002-9947 (print), 1088-6850 (electronic)",
ISSN-L = "0002-9947",
MRclass = "30E05",
MRnumber = "567101 (81c:30064)",
MRreviewer = "Jean Tzimbalario",
bibdate = "Wed Apr 20 14:10:28 2022",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/birkhoff-garrett.bib;
https://www.math.utah.edu/pub/bibnet/authors/v/varga-richard-steven.bib",
URL = "http://www.math.kent.edu/~varga/pub/paper_118.pdf",
ZMnumber = "431.41001",
acknowledgement = ack-nhfb,
author-dates = "Richard S. Varga (8 October 1928--25 February 2022)",
fjournal = "Transactions of the American Mathematical Society",
journal-URL = "http://www.ams.org/journals/tran/",
subject-dates = "Garrett Birkhoff (19 January 1911--22 November
1996)",
}
@Article{Clapp:1980:BTD,
author = "M. H. Clapp and R. C. Shiflett",
title = "A {Birkhoff} Theorem for Doubly Stochastic Matrices
with Vector Entries",
journal = j-STUD-APPL-MATH,
volume = "62",
number = "3",
pages = "273--279",
month = jun,
year = "1980",
CODEN = "SAPMB6",
DOI = "https://doi.org/10.1002/sapm1980623273",
ISSN = "0022-2526 (print), 1467-9590 (electronic)",
ISSN-L = "0022-2526",
bibdate = "Sun Aug 20 10:41:59 MDT 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/birkhoff-garrett.bib;
https://www.math.utah.edu/pub/tex/bib/studapplmath.bib",
URL = "https://onlinelibrary.wiley.com/doi/epdf/10.1002/sapm1980623273",
acknowledgement = ack-nhfb,
ajournal = "Stud. Appl. Math.",
fjournal = "Studies in Applied Mathematics",
journal-URL = "http://onlinelibrary.wiley.com/journal/10.1111/(ISSN)1467-9590",
onlinedate = "June 1980",
subject-dates = "Garrett Birkhoff (19 January 1911--22 November
1996)",
}
@Book{Hageman:1981:AIM,
author = "Louis A. Hageman and David M. Young",
title = "Applied Iterative Methods",
publisher = pub-ACADEMIC,
address = pub-ACADEMIC:adr,
pages = "xvii + 386",
year = "1981",
ISBN = "0-12-313340-8",
ISBN-13 = "978-0-12-313340-3",
LCCN = "QA297.8 .H34 1981",
MRclass = "65F10 (65-01 65-02)",
MRnumber = "83c:65064",
MRreviewer = "Themistocles M. Rassias",
bibdate = "Tue Dec 14 22:54:41 1993",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/birkhoff-garrett.bib;
https://www.math.utah.edu/pub/bibnet/authors/y/young-david-m.bib;
https://www.math.utah.edu/pub/tex/bib/master.bib",
series = "Computer Science and Applied Mathematics, Editor:
Werner Rheinboldt",
acknowledgement = ack-nhfb,
tableofcontents = "Background on linear algebra and related topics \\
Background on basic iterative methods \\
Polynomial acceleration \\
Chebyshev acceleration \\
An adaptive Chebyshev procedure using special norms \\
Adaptive Chebyshev acceleration \\
Conjugate gradient acceleration \\
Special methods for red/black partitionings \\
Adaptive procedures for the successive overrelaxation
method \\
The use of iterative methods in the solution of partial
differential equations \\
Case studies \\
The nonsymmetrizable case \\
Chebyshev acceleration subroutine \\
CCSI subroutine \\
SOR subroutine",
}
@Article{Muhlbach:1981:AAH,
author = "G. M{\"u}hlbach",
title = "An algorithmic approach to {Hermite--Birkhoff}
interpolation",
journal = j-NUM-MATH,
volume = "37",
number = "3",
pages = "339--347",
month = jul,
year = "1981",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
ISSN-L = "0029-599X",
MRclass = "65D05",
MRnumber = "83a:65011",
bibdate = "Mon May 26 11:49:34 MDT 1997",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/birkhoff-garrett.bib;
https://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
classification = "C4130 (Interpolation and function approximation)",
corpsource = "Inst. f{\"u}r Prakt. Math., Univ. Hannover, Hannover,
West Germany",
fjournal = "Numerische Mathematik",
journal-URL = "http://link.springer.com/journal/211",
keywords = "algebraic polynomials; algorithmic approach;
HB-interpolation; Hermite--Birkhoff-interpolation;
interpolation",
subject-dates = "Garrett Birkhoff (19 January 1911--22 November
1996)",
treatment = "T Theoretical or Mathematical",
}
@Article{Riemenschneider:1981:BIR,
author = "S. D. Riemenschneider and A. Sharma",
title = "{Birkhoff} interpolation at the $n$ th roots of unity:
convergence",
journal = j-CAN-J-MATH,
volume = "33",
number = "??",
pages = "362--371",
month = "????",
year = "1981",
CODEN = "CJMAAB",
DOI = "https://doi.org/10.4153/CJM-1981-030-9",
ISSN = "0008-414X (print), 1496-4279 (electronic)",
ISSN-L = "0008-414X",
bibdate = "Sat Sep 10 15:38:54 MDT 2011",
bibsource = "http://cms.math.ca/cjm/v33/;
https://www.math.utah.edu/pub/bibnet/authors/b/birkhoff-garrett.bib;
https://www.math.utah.edu/pub/tex/bib/canjmath1980.bib",
acknowledgement = ack-nhfb,
fjournal = "Canadian Journal of Mathematics = Journal canadien de
math{\'e}matiques",
journal-URL = "http://cms.math.ca/cjm/",
subject-dates = "Garrett Birkhoff (19 January 1911--22 November
1996)",
}
@Article{Benson:1982:DSM,
author = "R. V. Benson and R. C. Shiflett",
title = "Doubly stochastic matrices over arbitrary vector
spaces and the {Birkhoff} theorem",
journal = j-LINEAR-ALGEBRA-APPL,
volume = "42",
number = "??",
pages = "145--158",
month = feb,
year = "1982",
CODEN = "LAAPAW",
DOI = "https://doi.org/10.1016/0024-3795(82)90145-8",
ISSN = "0024-3795 (print), 1873-1856 (electronic)",
ISSN-L = "0024-3795",
MRclass = "15A51",
MRnumber = "84e:15022",
MRreviewer = "Thomas H. Foregger",
bibdate = "Wed Nov 30 13:48:55 MST 2011",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/birkhoff-garrett.bib;
https://www.math.utah.edu/pub/tex/bib/linala1980.bib",
URL = "http://www.sciencedirect.com/science/article/pii/0024379582901458",
acknowledgement = ack-nhfb,
fjournal = "Linear Algebra and its Applications",
journal-URL = "http://www.sciencedirect.com/science/journal/00243795/",
subject-dates = "Garrett Birkhoff (19 January 1911--22 November
1996)",
}
@Article{Brualdi:1982:NBA,
author = "Richard A. Brualdi",
title = "Notes on the {Birkhoff} algorithm for doubly
stochastic matrices",
journal = j-CAN-MATH-BULL,
volume = "25",
number = "2",
pages = "191--199",
month = jun,
year = "1982",
CODEN = "CMBUA3",
DOI = "https://doi.org/10.4153/CMB-1982-026-3",
ISSN = "0008-4395 (print), 1496-4287 (electronic)",
ISSN-L = "0008-4395",
bibdate = "Thu Sep 8 10:05:09 MDT 2011",
bibsource = "http://cms.math.ca/cmb/v25/;
https://www.math.utah.edu/pub/bibnet/authors/b/birkhoff-garrett.bib;
https://www.math.utah.edu/pub/tex/bib/canmathbull.bib",
note = "See comments \cite{Bongiovanni:1988:CPR}.",
acknowledgement = ack-nhfb,
fjournal = "Canadian Mathematical Bulletin. Bulletin Canadien de
Math{\'e}matiques",
journal-URL = "http://cms.math.ca/cmb/",
subject-dates = "Garrett Birkhoff (19 January 1911--22 November
1996)",
}
@Article{Dyn:1982:CBI,
author = "N. Dyn and G. G. Lorentz and S. D. Riemenschneider",
title = "Continuity of the {Birkhoff} Interpolation",
journal = j-SIAM-J-NUMER-ANAL,
volume = "19",
number = "3",
pages = "507--509",
month = jun,
year = "1982",
CODEN = "SJNAAM",
ISSN = "0036-1429 (print), 1095-7170 (electronic)",
ISSN-L = "0036-1429",
MRclass = "41A05",
MRnumber = "83k:41001",
MRreviewer = "A. Sharma",
bibdate = "Fri Oct 16 06:57:22 MDT 1998",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/birkhoff-garrett.bib;
https://www.math.utah.edu/pub/tex/bib/siamjnumeranal.bib;
JSTOR database",
acknowledgement = ack-nhfb,
fjournal = "SIAM Journal on Numerical Analysis",
journal-URL = "http://epubs.siam.org/sinum",
subject-dates = "Garrett Birkhoff (19 January 1911--22 November
1996)",
}
@Article{Jetter:1982:NCG,
author = "Kurt Jetter",
title = "A new class of {Gaussian} quadrature formulas based on
{Birkhoff} type data",
journal = j-SIAM-J-NUMER-ANAL,
volume = "19",
number = "5",
pages = "1081--1089",
month = oct,
year = "1982",
CODEN = "SJNAAM",
ISSN = "0036-1429 (print), 1095-7170 (electronic)",
ISSN-L = "0036-1429",
MRclass = "41A55 (65D07)",
MRnumber = "84d:41054",
MRreviewer = "I. P. Mysovskikh",
bibdate = "Fri Oct 16 06:57:22 MDT 1998",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/birkhoff-garrett.bib;
https://www.math.utah.edu/pub/tex/bib/siamjnumeranal.bib;
JSTOR database",
acknowledgement = ack-nhfb,
fjournal = "SIAM Journal on Numerical Analysis",
journal-URL = "http://epubs.siam.org/sinum",
subject-dates = "Garrett Birkhoff (19 January 1911--22 November
1996)",
}
@Article{Kincaid:1982:AIF,
author = "David R. Kincaid and John R. Respess and David M.
Young and Roger G. Grimes",
title = "{Algorithm 586}: {ITPACK 2C}: {A FORTRAN} Package for
Solving Large Sparse Linear Systems by Adaptive
Accelerated Iterative Methods",
journal = j-TOMS,
volume = "8",
number = "3",
pages = "302--322",
month = sep,
year = "1982",
CODEN = "ACMSCU",
DOI = "https://doi.org/10.1145/356004.356009",
ISSN = "0098-3500 (print), 1557-7295 (electronic)",
ISSN-L = "0098-3500",
bibdate = "Mon Aug 29 23:49:22 1994",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/birkhoff-garrett.bib;
https://www.math.utah.edu/pub/bibnet/authors/y/young-david-m.bib;
https://www.math.utah.edu/pub/tex/bib/toms.bib",
acknowledgement = ack-nhfb,
fjournal = "ACM Transactions on Mathematical Software (TOMS)",
journal-URL = "http://dl.acm.org/pub.cfm?id=J782",
keywords = "algorithms; documentation; iterative methods;
numerical software; sparse matrix",
}
@Article{Lorentz:1982:ACB,
author = "G. G. Lorentz",
title = "The analytic character of the {Birkhoff} interpolation
polynomials",
journal = j-CAN-J-MATH,
volume = "34",
number = "??",
pages = "765--768",
month = "????",
year = "1982",
CODEN = "CJMAAB",
DOI = "https://doi.org/10.4153/CJM-1982-053-9",
ISSN = "0008-414X (print), 1496-4279 (electronic)",
ISSN-L = "0008-414X",
bibdate = "Sat Sep 10 15:38:56 MDT 2011",
bibsource = "http://cms.math.ca/cjm/v34/;
https://www.math.utah.edu/pub/bibnet/authors/b/birkhoff-garrett.bib;
https://www.math.utah.edu/pub/tex/bib/canjmath1980.bib",
acknowledgement = ack-nhfb,
fjournal = "Canadian Journal of Mathematics = Journal canadien de
math{\'e}matiques",
journal-URL = "http://cms.math.ca/cjm/",
subject-dates = "Garrett Birkhoff (19 January 1911--22 November
1996)",
}
@Article{Alexanderson:1983:CGB,
author = "G. L. Alexanderson and Carroll Wilde",
title = "A Conversation with {Garrett Birkhoff}",
journal = j-TWO-YEAR-COLL-MATH-J,
volume = "14",
number = "2",
pages = "126--145",
month = mar,
year = "1983",
CODEN = "????",
DOI = "https://doi.org/10.1080/00494925.1983.11972669",
ISSN = "0049-4925 (print), 2325-9116 (electronic)",
ISSN-L = "0049-4925",
bibdate = "Thu Feb 14 09:49:41 MST 2019",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/birkhoff-garrett.bib;
https://www.math.utah.edu/pub/tex/bib/collegemathj.bib",
URL = "http://www.tandfonline.com/doi/abs/10.1080/00494925.1983.11972669",
acknowledgement = ack-nhfb,
fjournal = "Two-Year College Mathematics Journal",
journal-URL = "https://maa.tandfonline.com/loi/ucmj20;
http://www.jstor.org/journals/00494925.html",
onlinedate = "30 Jan 2018",
subject-dates = "Garrett Birkhoff (19 January 1911--22 November
1996)",
}
@Article{Saxena:1983:HBI,
author = "R. B. Saxena and A. Sharma and Z. Ziegler",
title = "{Hermite--Birkhoff} interpolation on roots of unity
and {Walsh} equiconvergence",
journal = j-LINEAR-ALGEBRA-APPL,
volume = "52/53",
number = "??",
pages = "603--615",
year = "1983",
CODEN = "LAAPAW",
ISSN = "0024-3795 (print), 1873-1856 (electronic)",
ISSN-L = "0024-3795",
MRclass = "30E05 (41A05)",
MRnumber = "85g:30065",
bibdate = "Thu Jan 23 11:18:08 MST 1997",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/birkhoff-garrett.bib;
https://www.math.utah.edu/pub/tex/bib/linala1980.bib",
acknowledgement = ack-nhfb,
fjournal = "Linear Algebra and its Applications",
journal-URL = "http://www.sciencedirect.com/science/journal/00243795/",
subject-dates = "Garrett Birkhoff (19 January 1911--22 November
1996)",
}
@Article{Dyn:1984:CHB,
author = "Nira Dyn",
title = "Composite {Hermite--Birkhoff} quadrature formulas of
{Gaussian} type",
journal = j-MATH-COMPUT,
volume = "43",
number = "168",
pages = "535--541",
month = oct,
year = "1984",
CODEN = "MCMPAF",
ISSN = "0025-5718 (print), 1088-6842 (electronic)",
ISSN-L = "0025-5718",
MRclass = "41A55 (41A50)",
MRnumber = "85k:41043",
MRreviewer = "Yury Girshovich",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/birkhoff-garrett.bib;
https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib;
JSTOR database",
acknowledgement = ack-nhfb,
fjournal = "Mathematics of Computation",
journal-URL = "http://www.ams.org/mcom/",
subject-dates = "Garrett Birkhoff (19 January 1911--22 November
1996)",
}
@Article{Majima:1984:SPR,
author = "Hideyuki Majima",
title = "{Stokes} phenomena and {Riemann--Hilbert--Birkhoff}
problem",
journal = j-LECT-NOTES-MATH,
volume = "1075",
pages = "111--133",
year = "1984",
CODEN = "LNMAA2",
DOI = "https://doi.org/10.1007/BFb0071554",
ISBN = "3-540-13375-5 (print), 3-540-38931-8 (e-book)",
ISBN-13 = "978-3-540-13375-9 (print), 978-3-540-38931-6
(e-book)",
ISSN = "0075-8434 (print), 1617-9692 (electronic)",
ISSN-L = "0075-8434",
bibdate = "Fri May 9 19:07:11 MDT 2014",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/birkhoff-garrett.bib;
https://www.math.utah.edu/pub/tex/bib/lnm1980.bib",
URL = "http://link.springer.com/chapter/10.1007/BFb0071554/",
acknowledgement = ack-nhfb,
book-DOI = "https://doi.org/10.1007/BFb0071550",
book-URL = "http://www.springerlink.com/content/978-3-540-38931-6",
fjournal = "Lecture Notes in Mathematics",
journal-URL = "http://link.springer.com/bookseries/304",
subject-dates = "Garrett Birkhoff (19 January 1911--22 November
1996)",
}
@Article{Servizi:1984:CPB,
author = "G. Servizi and G. Turchetti",
title = "A computer program for the {Birkhoff} series of area
preserving maps",
journal = j-COMP-PHYS-COMM,
volume = "32",
number = "2",
pages = "201--207",
month = may,
year = "1984",
CODEN = "CPHCBZ",
DOI = "https://doi.org/10.1016/0010-4655(84)90071-7",
ISSN = "0010-4655 (print), 1879-2944 (electronic)",
ISSN-L = "0010-4655",
bibdate = "Mon Feb 13 10:28:07 MST 2012",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/birkhoff-garrett.bib;
https://www.math.utah.edu/pub/tex/bib/compphyscomm1980.bib",
URL = "http://www.sciencedirect.com/science/article/pii/0010465584900717",
acknowledgement = ack-nhfb,
fjournal = "Computer Physics Communications",
journal-URL = "http://www.sciencedirect.com/science/journal/00104655",
subject-dates = "Garrett Birkhoff (19 January 1911--22 November
1996)",
}
@Article{Bogart:1985:RBA,
author = "Kenneth Bogart",
title = "Reviews: {{\em Basic Algebra}}, by {Nathan Jacobson,
W. H. Freeman, Saunders Mac Lane, and Garrett
Birkhoff}",
journal = j-AMER-MATH-MONTHLY,
volume = "92",
number = "10",
pages = "743--745",
month = dec,
year = "1985",
CODEN = "AMMYAE",
DOI = "https://doi.org/10.2307/2323244",
ISSN = "0002-9890 (print), 1930-0972 (electronic)",
ISSN-L = "0002-9890",
bibdate = "Mon Jun 28 12:38:09 MDT 1999",
bibsource = "http://www.jstor.org/journals/00029890.htm;
https://www.math.utah.edu/pub/bibnet/authors/b/birkhoff-garrett.bib;
https://www.math.utah.edu/pub/tex/bib/amermathmonthly1980.bib",
acknowledgement = ack-nhfb,
fjournal = "American Mathematical Monthly",
journal-URL = "http://www.jstor.org/journals/00029890.html",
subject-dates = "Garrett Birkhoff (19 January 1911--22 November 1996);
Saunders Mac Lane (1909--2005)",
}
@Article{Fabrykowski:1985:SBI,
author = "J. Fabrykowski and A. Sharma and H. Zassenhaus",
title = "Some {Birkhoff} interpolation problems on the roots of
unity",
journal = j-LINEAR-ALGEBRA-APPL,
volume = "65",
number = "??",
pages = "1--23",
month = feb,
year = "1985",
CODEN = "LAAPAW",
DOI = "https://doi.org/10.1016/0024-3795(85)90084-9",
ISSN = "0024-3795 (print), 1873-1856 (electronic)",
ISSN-L = "0024-3795",
MRclass = "41A05 (30E05)",
MRnumber = "86b:41003",
MRreviewer = "Jean Tzimbalario",
bibdate = "Wed Nov 30 13:49:40 MST 2011",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/birkhoff-garrett.bib;
https://www.math.utah.edu/pub/tex/bib/linala1980.bib",
URL = "http://www.sciencedirect.com/science/article/pii/0024379585900849",
acknowledgement = ack-nhfb,
fjournal = "Linear Algebra and its Applications",
journal-URL = "http://www.sciencedirect.com/science/journal/00243795/",
subject-dates = "Garrett Birkhoff (19 January 1911--22 November
1996)",
}
@Article{Saez:1985:STT,
author = "D. S{\'a}ez and J. V. Arnau",
title = "On the scalar-tetradic theory {A} --- the {Birkhoff}
theorem: horizons and singularities",
journal = j-J-MATH-PHYS,
volume = "26",
number = "11",
pages = "2902--2908",
month = nov,
year = "1985",
CODEN = "JMAPAQ",
DOI = "https://doi.org/10.1063/1.526715",
ISSN = "0022-2488 (print), 1089-7658 (electronic), 1527-2427",
ISSN-L = "0022-2488",
MRclass = "83D05",
MRnumber = "87e:83051",
MRreviewer = "Carl Brans",
bibdate = "Mon Oct 31 11:57:31 MDT 2011",
bibsource = "http://jmp.aip.org/;
https://www.math.utah.edu/pub/bibnet/authors/b/birkhoff-garrett.bib;
https://www.math.utah.edu/pub/tex/bib/jmathphys1985.bib",
URL = "http://jmp.aip.org/resource/1/jmapaq/v26/i11/p2902_s1",
acknowledgement = ack-nhfb,
fjournal = "Journal of Mathematical Physics",
journal-URL = "http://jmp.aip.org/",
pagecount = "7",
subject-dates = "Garrett Birkhoff (19 January 1911--22 November
1996)",
}
@Article{Ali:1986:SBG,
author = "M. K. Ali and W. Robert Wood and J. S. Devitt",
title = "On the summation of the {Birkhoff--Gustavson} normal
form of an anharmonic oscillator",
journal = j-J-MATH-PHYS,
volume = "27",
number = "7",
pages = "1806--1812",
month = jul,
year = "1986",
CODEN = "JMAPAQ",
DOI = "https://doi.org/10.1063/1.527048",
ISSN = "0022-2488 (print), 1089-7658 (electronic), 1527-2427",
ISSN-L = "0022-2488",
MRclass = "81C15 (34E15)",
MRnumber = "87h:81046",
MRreviewer = "Y. Kato",
bibdate = "Mon Oct 31 11:57:45 MDT 2011",
bibsource = "http://jmp.aip.org/;
https://www.math.utah.edu/pub/bibnet/authors/b/birkhoff-garrett.bib;
https://www.math.utah.edu/pub/tex/bib/jmathphys1985.bib",
URL = "http://jmp.aip.org/resource/1/jmapaq/v27/i7/p1806_s1",
acknowledgement = ack-nhfb,
fjournal = "Journal of Mathematical Physics",
journal-URL = "http://jmp.aip.org/",
pagecount = "7",
subject-dates = "Garrett Birkhoff (19 January 1911--22 November
1996)",
}
@Article{Lewandowski:1986:APG,
author = "J. L. Lewandowski and C. L. Liu and J. W. S. Liu",
title = "An algorithmic proof of a generalization of the
{Birkhoff--von Neumann} theorem",
journal = j-J-ALG,
volume = "7",
number = "3",
pages = "323--330",
month = sep,
year = "1986",
CODEN = "JOALDV",
DOI = "https://doi.org/10.1016/0196-6774(86)90024-6",
ISSN = "0196-6774 (print), 1090-2678 (electronic)",
ISSN-L = "0196-6774",
bibdate = "Tue Dec 11 09:14:30 MST 2012",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/birkhoff-garrett.bib;
https://www.math.utah.edu/pub/tex/bib/jalg.bib",
URL = "http://www.sciencedirect.com/science/article/pii/0196677486900246",
acknowledgement = ack-nhfb,
fjournal = "Journal of Algorithms",
journal-URL = "http://www.sciencedirect.com/science/journal/01966774",
subject-dates = "Garrett Birkhoff (19 January 1911--22 November
1996)",
}
@Article{Reutenauer:1986:TPB,
author = "Christophe Reutenauer",
title = "Theorem of {Poincar{\`e}--Birkhoff--Witt}, logarithm
and symmetric group representations of degrees equal to
{Stirling} numbers",
journal = j-LECT-NOTES-MATH,
volume = "1234",
pages = "267--284",
year = "1986",
CODEN = "LNMAA2",
DOI = "https://doi.org/10.1007/BFb0072520",
ISBN = "3-540-17207-6 (print), 3-540-47402-1 (e-book)",
ISBN-13 = "978-3-540-17207-9 (print), 978-3-540-47402-9
(e-book)",
ISSN = "0075-8434 (print), 1617-9692 (electronic)",
ISSN-L = "0075-8434",
MRclass = "05A15 (05A05 17B10 20C30)",
MRnumber = "927769 (89i:05029)",
MRreviewer = "Luis Verde-Star",
bibdate = "Fri May 9 19:07:52 MDT 2014",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/birkhoff-garrett.bib;
https://www.math.utah.edu/pub/tex/bib/lnm1985.bib",
URL = "http://link.springer.com/chapter/10.1007/BFb0072520/",
acknowledgement = ack-nhfb,
book-DOI = "https://doi.org/10.1007/BFb0072503",
book-URL = "http://www.springerlink.com/content/978-3-540-47402-9",
fjournal = "Lecture Notes in Mathematics",
journal-URL = "http://link.springer.com/bookseries/304",
subject-dates = "Garrett Birkhoff (19 January 1911--22 November
1996)",
}
@Article{Singh:1986:BTT,
author = "Tarkeshwar Singh",
title = "{Birkhoff}-type theorem in self-creation cosmology",
journal = j-J-MATH-PHYS,
volume = "27",
number = "4",
pages = "1074--1075",
month = apr,
year = "1986",
CODEN = "JMAPAQ",
DOI = "https://doi.org/10.1063/1.527150",
ISSN = "0022-2488 (print), 1089-7658 (electronic), 1527-2427",
ISSN-L = "0022-2488",
MRclass = "83D05",
MRnumber = "87g:83103",
MRreviewer = "Kenneth Dunn",
bibdate = "Mon Oct 31 11:57:39 MDT 2011",
bibsource = "http://jmp.aip.org/;
https://www.math.utah.edu/pub/bibnet/authors/b/birkhoff-garrett.bib;
https://www.math.utah.edu/pub/tex/bib/jmathphys1985.bib",
URL = "http://jmp.aip.org/resource/1/jmapaq/v27/i4/p1074_s1",
acknowledgement = ack-nhfb,
fjournal = "Journal of Mathematical Physics",
journal-URL = "http://jmp.aip.org/",
pagecount = "2",
subject-dates = "Garrett Birkhoff (19 January 1911--22 November
1996)",
}
@Article{Tinhofer:1986:GIT,
author = "G. Tinhofer",
title = "Graph isomorphism and theorems of {Birkhoff} type",
journal = j-COMPUTING,
volume = "36",
number = "4",
pages = "285--300",
month = dec,
year = "1986",
CODEN = "CMPTA2",
ISSN = "0010-485X (print), 1436-5057 (electronic)",
ISSN-L = "0010-485X",
MRclass = "05C50 (15A51 52A25)",
MRnumber = "87h:05148",
MRreviewer = "R. A. Brualdi",
bibdate = "Tue Oct 12 16:33:42 MDT 1999",
bibsource = "Compendex database;
http://springerlink.metapress.com/openurl.asp?genre=journal&issn=0010-485X;
https://www.math.utah.edu/pub/bibnet/authors/b/birkhoff-garrett.bib;
https://www.math.utah.edu/pub/tex/bib/computing.bib;
MathSciNet database",
acknowledgement = ack-nhfb,
classification = "921",
fjournal = "Computing",
journal-URL = "http://link.springer.com/journal/607",
journalabr = "Computing (Vienna/New York)",
keywords = "convex polytopes; cycles; doubly stochastic matrices;
graph isomorphism; Graph Theory; mathematical
techniques; trees",
subject-dates = "Garrett Birkhoff (19 January 1911--22 November
1996)",
}
@Article{Jetter:1987:UGB,
author = "Kurt Jetter",
title = "Uniqueness of {Gauss--Birkhoff} Quadrature Formulas",
journal = j-SIAM-J-NUMER-ANAL,
volume = "24",
number = "1",
pages = "147--154",
month = feb,
year = "1987",
CODEN = "SJNAAM",
ISSN = "0036-1429 (print), 1095-7170 (electronic)",
ISSN-L = "0036-1429",
MRclass = "65D32 (41A55)",
MRnumber = "88e:65026",
MRreviewer = "G. A. Evans",
bibdate = "Fri Oct 16 06:57:22 MDT 1998",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/birkhoff-garrett.bib;
https://www.math.utah.edu/pub/tex/bib/siamjnumeranal.bib;
JSTOR database",
acknowledgement = ack-nhfb,
fjournal = "SIAM Journal on Numerical Analysis",
journal-URL = "http://epubs.siam.org/sinum",
subject-dates = "Garrett Birkhoff (19 January 1911--22 November
1996)",
}
@Article{Weiser:1987:BRE,
author = "Alan Weiser",
title = "Book Review: {{\booktitle{Elliptic Problem Solvers
II}} (Garrett Birkhoff and Arthur Schoenstadt, eds.)}",
journal = j-SIAM-REVIEW,
volume = "29",
number = "3",
pages = "502--503",
month = "????",
year = "1987",
CODEN = "SIREAD",
DOI = "https://doi.org/10.1137/1029103",
ISSN = "0036-1445 (print), 1095-7200 (electronic)",
ISSN-L = "0036-1445",
bibdate = "Sat Mar 29 09:54:17 MDT 2014",
bibsource = "http://epubs.siam.org/toc/siread/29/3;
https://www.math.utah.edu/pub/bibnet/authors/b/birkhoff-garrett.bib;
https://www.math.utah.edu/pub/tex/bib/siamreview.bib",
acknowledgement = ack-nhfb,
fjournal = "SIAM Review",
journal-URL = "http://epubs.siam.org/sirev",
onlinedate = "September 1987",
subject-dates = "Garrett Birkhoff (19 January 1911--22 November
1996)",
}
@Article{Benci:1988:BLT,
author = "Vieri Benci and Donato Fortunato",
title = "A {``Birkhoff--Lewis''} type result for non autonomous
differential equations",
journal = j-LECT-NOTES-MATH,
volume = "1324",
pages = "85--96",
year = "1988",
CODEN = "LNMAA2",
DOI = "https://doi.org/10.1007/BFb0100784",
ISBN = "3-540-50111-8 (print), 3-540-45928-6 (e-book)",
ISBN-13 = "978-3-540-50111-4 (print), 978-3-540-45928-6
(e-book)",
ISSN = "0075-8434 (print), 1617-9692 (electronic)",
ISSN-L = "0075-8434",
MRclass = "58F22 (34C25 58E05)",
MRnumber = "965527 (90e:58132)",
MRreviewer = "Mario Girardi",
bibdate = "Thu May 15 18:46:23 MDT 2014",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/birkhoff-garrett.bib;
https://www.math.utah.edu/pub/tex/bib/lnm1985.bib",
URL = "http://link.springer.com/chapter/10.1007/BFb0100784/",
acknowledgement = ack-nhfb,
book-DOI = "https://doi.org/10.1007/BFb0100778",
book-URL = "http://www.springerlink.com/content/978-3-540-45928-6",
fjournal = "Lecture Notes in Mathematics",
journal-URL = "http://link.springer.com/bookseries/304",
subject-dates = "Garrett Birkhoff (19 January 1911--22 November
1996)",
}
@Article{Bona:1988:NPG,
author = "C. Bona",
title = "A new proof of the generalized {Birkhoff} theorem",
journal = j-J-MATH-PHYS,
volume = "29",
number = "6",
pages = "1440--1441",
month = jun,
year = "1988",
CODEN = "JMAPAQ",
DOI = "https://doi.org/10.1063/1.527936",
ISSN = "0022-2488 (print), 1089-7658 (electronic), 1527-2427",
ISSN-L = "0022-2488",
MRclass = "83C40",
MRnumber = "89f:83051",
MRreviewer = "P. Achuthan",
bibdate = "Mon Oct 31 11:58:21 MDT 2011",
bibsource = "http://jmp.aip.org/;
https://www.math.utah.edu/pub/bibnet/authors/b/birkhoff-garrett.bib;
https://www.math.utah.edu/pub/tex/bib/jmathphys1985.bib",
URL = "http://jmp.aip.org/resource/1/jmapaq/v29/i6/p1440_s1",
acknowledgement = ack-nhfb,
fjournal = "Journal of Mathematical Physics",
journal-URL = "http://jmp.aip.org/",
pagecount = "2",
subject-dates = "Garrett Birkhoff (19 January 1911--22 November
1996)",
}
@Article{Bongiovanni:1988:CPR,
author = "G. Bongiovanni and D. P. Bovet and A. Cerioli",
title = "Comments on a paper of {R. A. Brualdi}: {``Notes on
the Birkhoff algorithm for doubly stochastic
matrices''}",
journal = j-CAN-MATH-BULL,
volume = "31",
number = "4",
pages = "394--398",
month = dec,
year = "1988",
CODEN = "CMBUA3",
DOI = "https://doi.org/10.4153/CMB-1988-056-5",
ISSN = "0008-4395 (print), 1496-4287 (electronic)",
ISSN-L = "0008-4395",
bibdate = "Thu Sep 8 10:05:43 MDT 2011",
bibsource = "http://cms.math.ca/cmb/v31/;
https://www.math.utah.edu/pub/bibnet/authors/b/birkhoff-garrett.bib;
https://www.math.utah.edu/pub/tex/bib/canmathbull.bib",
note = "See \cite{Brualdi:1982:NBA}.",
acknowledgement = ack-nhfb,
fjournal = "Canadian Mathematical Bulletin. Bulletin Canadien de
Math{\'e}matiques",
journal-URL = "http://cms.math.ca/cmb/",
subject-dates = "Garrett Birkhoff (19 January 1911--22 November
1996)",
}
@Article{Kuang:1988:BTT,
author = "Zhi Quan Kuang and Can Bin Liang",
title = "{Birkhoff} and {Taub} theorems generalized to metrics
with conformal symmetries",
journal = j-J-MATH-PHYS,
volume = "29",
number = "11",
pages = "2475--2478",
month = nov,
year = "1988",
CODEN = "JMAPAQ",
DOI = "https://doi.org/10.1063/1.528085",
ISSN = "0022-2488 (print), 1089-7658 (electronic), 1527-2427",
ISSN-L = "0022-2488",
MRclass = "83C15 (83C40)",
MRnumber = "90a:83014",
MRreviewer = "Colin B. G. McIntosh",
bibdate = "Mon Oct 31 11:58:28 MDT 2011",
bibsource = "http://jmp.aip.org/;
https://www.math.utah.edu/pub/bibnet/authors/b/birkhoff-garrett.bib;
https://www.math.utah.edu/pub/tex/bib/jmathphys1985.bib",
URL = "http://jmp.aip.org/resource/1/jmapaq/v29/i11/p2475_s1",
acknowledgement = ack-nhfb,
fjournal = "Journal of Mathematical Physics",
journal-URL = "http://jmp.aip.org/",
pagecount = "4",
subject-dates = "Garrett Birkhoff (19 January 1911--22 November
1996)",
}
@Article{Ali:1989:BGN,
author = "M. K. Ali and W. Robert Wood",
title = "The {Birkhoff--Gustavson} normal form of
one-dimensional double-well {Hamiltonians}",
journal = j-J-MATH-PHYS,
volume = "30",
number = "6",
pages = "1238--1244",
month = jun,
year = "1989",
CODEN = "JMAPAQ",
DOI = "https://doi.org/10.1063/1.528350",
ISSN = "0022-2488 (print), 1089-7658 (electronic), 1527-2427",
ISSN-L = "0022-2488",
MRclass = "81C05",
MRnumber = "90d:81027",
MRreviewer = "Tuan W. Chen",
bibdate = "Mon Oct 31 11:58:38 MDT 2011",
bibsource = "http://jmp.aip.org/;
https://www.math.utah.edu/pub/bibnet/authors/b/birkhoff-garrett.bib;
https://www.math.utah.edu/pub/tex/bib/jmathphys1985.bib",
URL = "http://jmp.aip.org/resource/1/jmapaq/v30/i6/p1238_s1",
acknowledgement = ack-nhfb,
fjournal = "Journal of Mathematical Physics",
journal-URL = "http://jmp.aip.org/",
pagecount = "7",
subject-dates = "Garrett Birkhoff (19 January 1911--22 November
1996)",
}
@Article{Borgers:1989:NSR,
author = "Christoph B{\"o}rgers",
title = "On the numerical solution of the regularized
{Birkhoff} equations",
journal = j-MATH-COMPUT,
volume = "53",
number = "187",
pages = "141--156",
month = jul,
year = "1989",
CODEN = "MCMPAF",
ISSN = "0025-5718 (print), 1088-6842 (electronic)",
ISSN-L = "0025-5718",
MRclass = "76C05 (76-08 76D25)",
MRnumber = "90g:76037",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/birkhoff-garrett.bib;
https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib;
JSTOR database",
acknowledgement = ack-nhfb,
classcodes = "A4730 (Rotational flow, vortices, buoyancy and other
flows involving body forces); A0260 (Numerical
approximation and analysis)",
corpsource = "Dept. of Math., Michigan Univ., Ann Arbor, MI, USA",
fjournal = "Mathematics of Computation",
journal-URL = "http://www.ams.org/mcom/",
keywords = "approximations; convergence; convergence of numerical
methods; evolution; fixed regularization; Krasny;
numerical; numerical solution; numerical test; problem;
regularized Birkhoff equations; two-dimensional
inviscid jet; vortex sheets; vortices",
subject-dates = "Garrett Birkhoff (19 January 1911--22 November
1996)",
treatment = "T Theoretical or Mathematical",
}
@Article{Bojanov:1990:CBT,
author = "Borislav Bojanov and Geno Nikolov",
title = "Comparison of {Birkhoff} Type Quadrature Formulae",
journal = j-MATH-COMPUT,
volume = "54",
number = "190",
pages = "627--648",
month = apr,
year = "1990",
CODEN = "MCMPAF",
ISSN = "0025-5718 (print), 1088-6842 (electronic)",
ISSN-L = "0025-5718",
MRclass = "65D30 (41A55)",
MRnumber = "91e:65034",
MRreviewer = "Helmut Brass",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/birkhoff-garrett.bib;
https://www.math.utah.edu/pub/tex/bib/mathcomp1990.bib;
JSTOR database",
acknowledgement = ack-nhfb,
classcodes = "B0290M (Numerical integration and differentiation);
B0290H (Linear algebra); B0290B (Error analysis in
numerical methods); C4160 (Numerical integration and
differentiation); C4140 (Linear algebra); C4110 (Error
analysis in numerical methods)",
corpsource = "Dept. of Math., Sofia Univ., Bulgaria",
fjournal = "Mathematics of Computation",
journal-URL = "http://www.ams.org/mcom/",
keywords = "algebraic degree of; Birkhoff type quadrature
formulae; error; error analysis; integration; matrix
algebra; precision",
subject-dates = "Garrett Birkhoff (19 January 1911--22 November
1996)",
treatment = "T Theoretical or Mathematical",
}
@Article{Gasca:1990:SBH,
author = "M. Gasca and J. J. Mart{\'\i}nez",
title = "On the solvability of bivariate {Hermite--Birkhoff}
interpolation problems",
journal = j-J-COMPUT-APPL-MATH,
volume = "32",
number = "1--2",
pages = "77--82",
day = "26",
month = nov,
year = "1990",
CODEN = "JCAMDI",
ISSN = "0377-0427 (print), 1879-1778 (electronic)",
ISSN-L = "0377-0427",
bibdate = "Sat Feb 25 12:20:46 MST 2017",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/birkhoff-garrett.bib;
https://www.math.utah.edu/pub/tex/bib/jcomputapplmath1990.bib",
URL = "http://www.sciencedirect.com/science/article/pii/037704279090418Y",
acknowledgement = ack-nhfb,
fjournal = "Journal of Computational and Applied Mathematics",
journal-URL = "http://www.sciencedirect.com/science/journal/03770427",
subject-dates = "Garrett Birkhoff (19 January 1911--22 November
1996)",
}
@Article{Liang:1990:CBT,
author = "Can Bin Liang",
title = "Conformal {Birkhoff} and {Taub} theorems in higher
dimensions",
journal = j-J-MATH-PHYS,
volume = "31",
number = "6",
pages = "1464--1466",
month = jun,
year = "1990",
CODEN = "JMAPAQ",
DOI = "https://doi.org/10.1063/1.528738",
ISSN = "0022-2488 (print), 1089-7658 (electronic), 1527-2427",
ISSN-L = "0022-2488",
MRclass = "83E15 (83C15)",
MRnumber = "91e:83084",
MRreviewer = "A. H. Taub",
bibdate = "Tue Nov 1 08:57:13 MDT 2011",
bibsource = "http://jmp.aip.org/;
https://www.math.utah.edu/pub/bibnet/authors/b/birkhoff-garrett.bib;
https://www.math.utah.edu/pub/tex/bib/jmathphys1990.bib",
URL = "http://jmp.aip.org/resource/1/jmapaq/v31/i6/p1464_s1",
acknowledgement = ack-nhfb,
fjournal = "Journal of Mathematical Physics",
journal-URL = "http://jmp.aip.org/",
pagecount = "3",
subject-dates = "Garrett Birkhoff (19 January 1911--22 November
1996)",
}
@Article{Higham:1991:RKD,
author = "Desmond J. Higham",
title = "{Runge--Kutta} Defect Control Using
{Hermite--Birkhoff} Interpolation",
journal = j-SIAM-J-SCI-STAT-COMP,
volume = "12",
number = "5",
pages = "991--999",
month = sep,
year = "1991",
CODEN = "SIJCD4",
DOI = "https://doi.org/10.1137/0912053",
ISSN = "0196-5204",
ISSN-L = "0196-5204",
MRclass = "65L06 (65L07)",
MRnumber = "92g:65081",
MRreviewer = "Masaharu Nakashima",
bibdate = "Mon Mar 31 10:00:47 MDT 2014",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/birkhoff-garrett.bib;
https://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib",
acknowledgement = ack-nhfb,
fjournal = "SIAM Journal on Scientific and Statistical Computing",
journal-URL = "http://epubs.siam.org/loi/sijcd4",
onlinedate = "September 1991",
subject-dates = "Garrett Birkhoff (19 January 1911--22 November
1996)",
}
@Article{Sun:1991:ELB,
author = "Yong Sun",
title = "Equational Logics ({Birkhoff}'s Method Revisited)
(*)",
journal = j-LECT-NOTES-COMP-SCI,
volume = "516",
pages = "401--406",
year = "1991",
CODEN = "LNCSD9",
DOI = "https://doi.org/10.1007/3-540-54317-1_108",
ISSN = "0302-9743 (print), 1611-3349 (electronic)",
ISSN-L = "0302-9743",
bibdate = "Mon May 13 08:51:55 MDT 1996",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/birkhoff-garrett.bib;
https://www.math.utah.edu/pub/tex/bib/lncs1991.bib",
acknowledgement = ack-nhfb,
fjournal = "Lecture Notes in Computer Science",
journal-URL = "http://link.springer.com/bookseries/558",
subject-dates = "Garrett Birkhoff (19 January 1911--22 November
1996)",
}
@Article{Gasca:1992:BHB,
author = "Mariano Gasca and Jos{\'e} J. Mart{\'i}nez",
title = "Bivariate {Hermite--Birkhoff} interpolation and
{Vandermonde} determinants",
journal = j-NUMER-ALGORITHMS,
volume = "3",
number = "1--4",
pages = "193--199",
month = dec,
year = "1992",
CODEN = "NUALEG",
ISSN = "1017-1398 (print), 1572-9265 (electronic)",
ISSN-L = "1017-1398",
MRclass = "65D05 (41A05 41A63 65F99)",
MRnumber = "93h:65013",
bibdate = "Fri Nov 6 18:06:29 MST 1998",
bibsource = "http://www.math.psu.edu/dna/contents/na.html;
https://www.math.utah.edu/pub/bibnet/authors/b/birkhoff-garrett.bib;
https://www.math.utah.edu/pub/tex/bib/numeralgorithms.bib",
note = "Extrapolation and rational approximation (Puerto de la
Cruz, 1992).",
acknowledgement = ack-nhfb,
fjournal = "Numerical Algorithms",
journal-URL = "http://link.springer.com/journal/11075",
subject-dates = "Garrett Birkhoff (19 January 1911--22 November
1996)",
}
@Article{Lorentz:1992:BPB,
author = "Rudolph A. Lorentz",
title = "Basic properties of {Birkhoff} interpolation",
journal = j-LECT-NOTES-MATH,
volume = "1516",
pages = "9--22",
year = "1992",
CODEN = "LNMAA2",
DOI = "https://doi.org/10.1007/BFb0088791",
ISBN = "3-540-55870-5 (print), 3-540-47300-9 (e-book)",
ISBN-13 = "978-3-540-55870-5 (print), 978-3-540-47300-8
(e-book)",
ISSN = "0075-8434 (print), 1617-9692 (electronic)",
ISSN-L = "0075-8434",
bibdate = "Fri May 9 19:07:00 MDT 2014",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/birkhoff-garrett.bib;
https://www.math.utah.edu/pub/tex/bib/lnm1990.bib",
URL = "http://link.springer.com/chapter/10.1007/BFb0088791/",
acknowledgement = ack-nhfb,
book-DOI = "https://doi.org/10.1007/BFb0088788",
book-URL = "http://www.springerlink.com/content/978-3-540-47300-8",
fjournal = "Lecture Notes in Mathematics",
journal-URL = "http://link.springer.com/bookseries/304",
subject-dates = "Garrett Birkhoff (19 January 1911--22 November
1996)",
}
@Article{Lorentz:1992:KIB,
author = "Rudolph A. Lorentz",
title = "{Kergin} interpolation via {Birkhoff} interpolation",
journal = j-LECT-NOTES-MATH,
volume = "1516",
pages = "162--170",
year = "1992",
CODEN = "LNMAA2",
DOI = "https://doi.org/10.1007/BFb0088801",
ISBN = "3-540-55870-5 (print), 3-540-47300-9 (e-book)",
ISBN-13 = "978-3-540-55870-5 (print), 978-3-540-47300-8
(e-book)",
ISSN = "0075-8434 (print), 1617-9692 (electronic)",
ISSN-L = "0075-8434",
bibdate = "Fri May 9 19:07:00 MDT 2014",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/birkhoff-garrett.bib;
https://www.math.utah.edu/pub/tex/bib/lnm1990.bib",
URL = "http://link.springer.com/chapter/10.1007/BFb0088801/",
acknowledgement = ack-nhfb,
book-DOI = "https://doi.org/10.1007/BFb0088788",
book-URL = "http://www.springerlink.com/content/978-3-540-47300-8",
fjournal = "Lecture Notes in Mathematics",
journal-URL = "http://link.springer.com/bookseries/304",
subject-dates = "Garrett Birkhoff (19 January 1911--22 November
1996)",
}
@Book{Lorentz:1992:MBI,
author = "Rudolph A. Lorentz",
title = "Multivariate {Birkhoff} Interpolation",
volume = "1516",
publisher = pub-SV,
address = pub-SV:adr,
pages = "x + 192",
year = "1992",
CODEN = "LNMAA2",
DOI = "https://doi.org/10.1007/BFb0088788",
ISBN = "3-540-55870-5 (print), 3-540-47300-9 (e-book)",
ISBN-13 = "978-3-540-55870-5 (print), 978-3-540-47300-8
(e-book)",
ISSN = "0075-8434 (print), 1617-9692 (electronic)",
ISSN-L = "0075-8434",
LCCN = "QA3 .L28 no. 1516",
MRclass = "41A05 (41-02 41A63 65D05 65N30)",
MRnumber = "1222648 (94h:41001)",
MRreviewer = "Petru P. Blaga",
bibdate = "Tue May 6 14:55:12 MDT 2014",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/birkhoff-garrett.bib;
https://www.math.utah.edu/pub/tex/bib/lnm1990.bib;
https://www.math.utah.edu/pub/tex/bib/numana1990.bib",
series = ser-LECT-NOTES-MATH,
URL = "http://link.springer.com/book/10.1007/BFb0088788;
http://www.springerlink.com/content/978-3-540-47300-8",
acknowledgement = ack-nhfb,
series-URL = "http://link.springer.com/bookseries/304",
subject-dates = "Garrett Birkhoff (19 January 1911--22 November
1996)",
tableofcontents = "Front Matter / i--ix \\
1: Introduction / 1--3 \\
2: Univariate interpolation / 4--8 \\
3: Basic properties of Birkhoff interpolation / 9--22
\\
4: Singular interpolation schemes / 23--49 \\
5: Shifts and coalescences / 50--61 \\
6: Decomposition theorems / 62--71 \\
7: Reduction / 72--74 \\
8: Examples / 75--89 \\
9: Uniform Hermite interpolation of tensor--product
type / 90--102 \\
10: Uniform Hermite interpolation of type total degree
/ 103--138 \\
11: Vandermonde determinants / 139--155 \\
12: A theorem of Severi / 156--161 \\
13: Kergin interpolation via Birkhoff interpolation /
162--170 \\
A: Appendix --- A Bibliography on Multivariate
Interpolation / 171--182 \\
References / 183--189 \\
Glossary of notation / 190--192",
}
@Article{Manca:1992:SCB,
author = "V. Manca and A. Salibra",
title = "Soundness and completeness of the {Birkhoff}
equational calculus for many-sorted algebras with
possibly empty carrier sets",
journal = j-THEOR-COMP-SCI,
volume = "94",
number = "1",
pages = "101--124",
day = "02",
month = mar,
year = "1992",
CODEN = "TCSCDI",
ISSN = "0304-3975 (print), 1879-2294 (electronic)",
ISSN-L = "0304-3975",
bibdate = "Sat Nov 22 13:24:22 MST 1997",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/birkhoff-garrett.bib;
https://www.math.utah.edu/pub/tex/bib/tcs1990.bib",
acknowledgement = ack-nhfb,
classification = "C4210 (Formal logic)",
corpsource = "Dipartimento di Inf., Pisa Univ., Italy",
fjournal = "Theoretical Computer Science",
journal-URL = "http://www.sciencedirect.com/science/journal/03043975/",
keywords = "algebras; Birkhoff equational calculus; completeness;
computability; many-sorted algebras; many-valued
logics; possibly empty carrier sets; soundness; strong
satisfiability; strongly sensible signatures;
sufficient and necessary conditions; weak
satisfiability",
pubcountry = "Netherlands",
subject-dates = "Garrett Birkhoff (19 January 1911--22 November
1996)",
treatment = "T Theoretical or Mathematical",
}
@Article{Marshall:1992:PBC,
author = "Murray Marshall",
title = "The {Pierce--Birkhoff} conjecture for curves",
journal = j-CAN-J-MATH,
volume = "44",
number = "??",
pages = "1262--1271",
month = "????",
year = "1992",
CODEN = "CJMAAB",
DOI = "https://doi.org/10.4153/CJM-1992-075-0",
ISSN = "0008-414X (print), 1496-4279 (electronic)",
ISSN-L = "0008-414X",
bibdate = "Sat Sep 10 15:39:03 MDT 2011",
bibsource = "http://cms.math.ca/cjm/v44/;
https://www.math.utah.edu/pub/bibnet/authors/b/birkhoff-garrett.bib;
https://www.math.utah.edu/pub/tex/bib/canjmath1990.bib",
acknowledgement = ack-nhfb,
fjournal = "Canadian Journal of Mathematics = Journal canadien de
math{\'e}matiques",
journal-URL = "http://cms.math.ca/cjm/",
subject-dates = "Garrett Birkhoff (19 January 1911--22 November
1996)",
}
@Article{Bojanov:1993:IPS,
author = "Borislav Bojanov",
title = "Interpolation by periodic splines with {Birkhoff}
knots",
journal = j-NUM-MATH,
volume = "65",
number = "1",
pages = "63--75",
month = may,
year = "1993",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
ISSN-L = "0029-599X",
MRclass = "41A15 (65D05 65D07 65D15)",
MRnumber = "94e:41022",
MRreviewer = "Mircea Ivan",
bibdate = "Thu Jan 23 07:49:52 MST 1997",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/birkhoff-garrett.bib;
https://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
fjournal = "Numerische Mathematik",
journal-URL = "http://link.springer.com/journal/211",
subject-dates = "Garrett Birkhoff (19 January 1911--22 November
1996)",
}
@Article{Brodbeck:1993:GBT,
author = "Othmar Brodbeck and Norbert Straumann",
title = "A generalized {Birkhoff} theorem for the
{Einstein--Yang--Mills} system",
journal = j-J-MATH-PHYS,
volume = "34",
number = "6",
pages = "2412--2423",
month = jun,
year = "1993",
CODEN = "JMAPAQ",
DOI = "https://doi.org/10.1063/1.530126",
ISSN = "0022-2488 (print), 1089-7658 (electronic), 1527-2427",
ISSN-L = "0022-2488",
MRclass = "53C07 (81T13 83C20)",
MRnumber = "94a:53059",
MRreviewer = "Alan D. Rendall",
bibdate = "Tue Nov 1 08:57:58 MDT 2011",
bibsource = "http://jmp.aip.org/;
https://www.math.utah.edu/pub/bibnet/authors/b/birkhoff-garrett.bib;
https://www.math.utah.edu/pub/tex/bib/jmathphys1990.bib",
URL = "http://jmp.aip.org/resource/1/jmapaq/v34/i6/p2412_s1",
acknowledgement = ack-nhfb,
fjournal = "Journal of Mathematical Physics",
journal-URL = "http://jmp.aip.org/",
pagecount = "12",
subject-dates = "Garrett Birkhoff (19 January 1911--22 November
1996)",
}
@Article{Kaluza:1993:PBG,
author = "Matjaz Kaluza",
title = "Program for {Birkhoff--Gustavson} normal form for
{$N$} degrees of freedom --- {BIRKHOFF 1.2}",
journal = j-COMP-PHYS-COMM,
volume = "74",
number = "3",
pages = "441--449",
month = mar,
year = "1993",
CODEN = "CPHCBZ",
DOI = "https://doi.org/10.1016/0010-4655(93)90025-8",
ISSN = "0010-4655 (print), 1879-2944 (electronic)",
ISSN-L = "0010-4655",
bibdate = "Mon Feb 13 21:29:36 MST 2012",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/birkhoff-garrett.bib;
https://www.math.utah.edu/pub/tex/bib/compphyscomm1990.bib",
URL = "http://www.sciencedirect.com/science/article/pii/0010465593900258",
acknowledgement = ack-nhfb,
fjournal = "Computer Physics Communications",
journal-URL = "http://www.sciencedirect.com/science/journal/00104655",
subject-dates = "Garrett Birkhoff (19 January 1911--22 November
1996)",
}
@Article{Landau:1993:BTD,
author = "L. J. Landau and R. F. Streater",
title = "On {Birkhoff}'s Theorem for Doubly Stochastic
Completely Positive Maps of Matrix Algebras",
journal = j-LINEAR-ALGEBRA-APPL,
volume = "193",
pages = "107--127",
day = "1",
month = nov,
year = "1993",
CODEN = "LAAPAW",
ISSN = "0024-3795 (print), 1873-1856 (electronic)",
ISSN-L = "0024-3795",
MRclass = "47B49 (15A51 46L99)",
MRnumber = "95c:47041",
MRreviewer = "Jaroslav Zem{\'a}nek",
bibdate = "Wed Jan 22 17:57:24 MST 1997",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/birkhoff-garrett.bib;
https://www.math.utah.edu/pub/tex/bib/linala1990.bib",
acknowledgement = ack-nhfb,
fjournal = "Linear Algebra and its Applications",
journal-URL = "http://www.sciencedirect.com/science/journal/00243795/",
subject-dates = "Garrett Birkhoff (19 January 1911--22 November
1996)",
}
@Article{McEwan:1993:CFG,
author = "J. McEwan",
title = "A complex formulation of generalized {Hamiltonian}
({Birkhoffian}) theory",
journal = j-FOUND-PHYS,
volume = "23",
number = "2",
pages = "313--327",
month = feb,
year = "1993",
CODEN = "FNDPA4",
DOI = "https://doi.org/10.1007/BF01883632",
ISSN = "0015-9018 (print), 1572-9516 (electronic)",
ISSN-L = "0015-9018",
bibdate = "Tue Jun 11 20:35:47 MDT 2013",
bibsource = "http://springerlink.metapress.com/openurl.asp?genre=issue&issn=0015-9018&volume=23&issue=2;
https://www.math.utah.edu/pub/bibnet/authors/b/birkhoff-garrett.bib;
https://www.math.utah.edu/pub/tex/bib/foundphys.bib",
URL = "http://link.springer.com/article/10.1007/BF01883632",
acknowledgement = ack-nhfb,
ajournal = "Found. Phys.",
fjournal = "Foundations of Physics",
journal-URL = "http://link.springer.com/journal/10701",
subject-dates = "Garrett Birkhoff (19 January 1911--22 November
1996)",
}
@Article{Amrhein:1994:BHT,
author = "B. Amrhein",
title = "{Birkhoff}'s {HSP-Theorem} for Cumulative Logic
Programs",
journal = j-LECT-NOTES-COMP-SCI,
volume = "798",
pages = "24--36",
year = "1994",
CODEN = "LNCSD9",
ISSN = "0302-9743 (print), 1611-3349 (electronic)",
ISSN-L = "0302-9743",
bibdate = "Wed Sep 15 10:01:31 MDT 1999",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/birkhoff-garrett.bib;
https://www.math.utah.edu/pub/tex/bib/lncs1994.bib",
acknowledgement = ack-nhfb,
fjournal = "Lecture Notes in Computer Science",
journal-URL = "http://link.springer.com/bookseries/558",
keywords = "ELP; logic programming",
subject-dates = "Garrett Birkhoff (19 January 1911--22 November
1996)",
}
@Article{Bazzani:1995:PCB,
author = "A. Bazzani and M. Giovannozzi and E. Todesco",
title = "A program to compute {Birkhoff} normal forms of
symplectic maps in {$ R^4 $}",
journal = j-COMP-PHYS-COMM,
volume = "86",
number = "1--2",
pages = "199--207",
month = apr,
year = "1995",
CODEN = "CPHCBZ",
DOI = "https://doi.org/10.1016/0010-4655(94)00140-W",
ISSN = "0010-4655 (print), 1879-2944 (electronic)",
ISSN-L = "0010-4655",
bibdate = "Mon Feb 13 21:29:52 MST 2012",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/birkhoff-garrett.bib;
https://www.math.utah.edu/pub/tex/bib/compphyscomm1990.bib",
URL = "http://www.sciencedirect.com/science/article/pii/001046559400140W",
acknowledgement = ack-nhfb,
fjournal = "Computer Physics Communications",
journal-URL = "http://www.sciencedirect.com/science/journal/00104655",
subject-dates = "Garrett Birkhoff (19 January 1911--22 November
1996)",
}
@Article{Jiang:1995:NKB,
author = "Tianzi Jiang",
title = "On a new kind of {Birkhoff} type trigonometric
interpolation",
journal = j-BIT-NUM-MATH,
volume = "35",
number = "4",
pages = "540--547",
month = dec,
year = "1995",
CODEN = "BITTEL, NBITAB",
DOI = "https://doi.org/10.1007/BF01739825",
ISSN = "0006-3835 (print), 1572-9125 (electronic)",
ISSN-L = "0006-3835",
MRclass = "42A15 (41A10)",
MRnumber = "97i:42005",
bibdate = "Wed Jan 4 18:52:24 MST 2006",
bibsource = "http://springerlink.metapress.com/openurl.asp?genre=issue&issn=0006-3835&volume=35&issue=4;
https://www.math.utah.edu/pub/bibnet/authors/b/birkhoff-garrett.bib;
https://www.math.utah.edu/pub/tex/bib/bit.bib",
URL = "http://www.mai.liu.se/BIT/contents/bit35.html;
http://www.springerlink.com/openurl.asp?genre=article&issn=0006-3835&volume=35&issue=4&spage=540",
acknowledgement = ack-nhfb,
fjournal = "BIT Numerical Mathematics",
journal-URL = "http://link.springer.com/journal/10543",
subject-dates = "Garrett Birkhoff (19 January 1911--22 November
1996)",
}
@Book{Corry:1996:MAR,
author = "Leo Corry",
title = "Modern Algebra and the Rise of Mathematical
Structures",
volume = "0017",
publisher = pub-BIRKHAUSER,
address = pub-BIRKHAUSER:adr,
pages = "xviii + 452",
year = "1996",
ISBN = "0-7167-1376-4, 0-8176-5311-2 (Boston), 3-7643-5311-2
(Basel)",
ISBN-13 = "978-0-7167-1376-0, 978-0-8176-5311-8 (Boston),
978-3-7643-5311-7 (Basel)",
LCCN = "QA151 .C67 1996",
bibdate = "Sat Nov 4 10:17:52 MDT 2023",
bibsource = "fsz3950.oclc.org:210/WorldCat;
https://www.math.utah.edu/pub/bibnet/authors/b/birkhoff-garrett.bib",
series = "Science networks",
acknowledgement = ack-nhfb,
author-dates = "1956--",
remark = "Contains several references to Garrett Birkhoff and
Lattice Theory.",
subject = "Algebra; History; Categories (Mathematics);
Alg{\`e}bre; Histoire; Cat{\'e}gories
(Math{\'e}matiques); 31.20 algebra: general; Algebra;
Categories (Mathematics); Geschichte; Struktur;
Mathematik; Algebra; History; Categories (Mathematics);
Mathematics; Histoire; Cat{\'e}gories
(Math{\'e}matiques)",
subject-dates = "Garrett Birkhoff (19 January 1911--22 November
1996)",
tableofcontents = "Introduction: Structures in Mathematics / 1 \\
Part One: Structures in the Images of Mathematics / 15
\\
1: Structures in Algebra: Changing Images / 21 \\
2: Richard Dedekind: Numbers and Ideals / 66 \\
3: David Hilbert: Algebra and Axiomatics / 137 \\
4: Concrete and Abstract: Numbers, Polynomials, Rings /
184 \\
5: Emmy Noether: Ideals and Structures / 221 \\
Part Two: Structures in the Body of Mathematics / 255
\\
6: Oystein Ore: Algebraic Structures / 263 \\
7: Nicolas Bourbaki: Theory of Structures / 293 \\
8: Category Theory: Early Stages / 343 \\
9: Categories and Images of Mathematics / 384 \\
Bibliography / 405 \\
Author Index / 443 \\
Subject Index / 451",
}
@Article{Gonzalez-Vega:1996:AQE,
author = "Laureano Gonzalez-Vega",
title = "Applying Quantifier Elimination to the {Birkhoff}
Interpolation Problem",
journal = j-J-SYMBOLIC-COMP,
volume = "22",
number = "1",
pages = "83--103",
month = jul,
year = "1996",
CODEN = "JSYCEH",
DOI = "https://doi.org/10.1006/jsco.1996.0042",
ISSN = "0747-7171 (print), 1095-855X (electronic)",
ISSN-L = "0747-7171",
MRclass = "41A05 (03C10 68Q40)",
MRnumber = "1 421 260",
bibdate = "Sat May 10 15:54:09 MDT 1997",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/birkhoff-garrett.bib;
https://www.math.utah.edu/pub/tex/bib/jsymcomp.bib",
acknowledgement = ack-nhfb,
classcodes = "B0290H (Linear algebra); B0290F (Interpolation and
function approximation); C4140 (Linear algebra); C7310
(Mathematics computing); C4130 (Interpolation and
function approximation)",
corpsource = "Dept. de Matematicas, Estadistica y Comput., Cantabria
Univ., Santander, Spain",
fjournal = "Journal of Symbolic Computation",
journal-URL = "http://www.sciencedirect.com/science/journal/07477171/",
keywords = "Algebra; Birkhoff interpolation; Computer; formal
manipulation; interpolation; matrix algebra;
multivariate polynomials; polynomial entries;
quantifier elimination; Sign Determination;
Sturm-Habicht sequences; symbol manipulation;
univariate polynomial inequalities",
subject-dates = "Garrett Birkhoff (19 January 1911--22 November
1996)",
treatment = "T Theoretical or Mathematical",
}
@Article{Nikolaev:1996:DQB,
author = "A. S. Nikolaev",
title = "On the diagonalization of quantum
{Birkhoff--Gustavson} normal form",
journal = j-J-MATH-PHYS,
volume = "37",
number = "6",
pages = "2643--2661",
month = jun,
year = "1996",
CODEN = "JMAPAQ",
ISSN = "0022-2488 (print), 1089-7658 (electronic), 1527-2427",
ISSN-L = "0022-2488",
MRclass = "81Q15 (34C29 70H15 81Q20)",
MRnumber = "97c:81041",
MRreviewer = "Raghu R. Gompa",
bibdate = "Fri Jan 2 07:23:17 MST 1998",
bibsource = "http://www.aip.org/ojs/jmp.html;
https://www.math.utah.edu/pub/bibnet/authors/b/birkhoff-garrett.bib;
https://www.math.utah.edu/pub/tex/bib/jmathphys1995.bib",
acknowledgement = ack-nhfb,
fjournal = "Journal of Mathematical Physics",
journal-URL = "http://jmp.aip.org/",
subject-dates = "Garrett Birkhoff (19 January 1911--22 November
1996)",
}
@Article{Saxon:1996:GBM,
author = "Wolfgang Saxon",
title = "{Garrett Birkhoff}, 85, Mathematics Theorist, Dies",
journal = j-NY-TIMES,
volume = "??",
number = "??",
pages = "D-22--D-22",
day = "28",
month = nov,
year = "1996",
CODEN = "NYTIAO",
ISSN = "0362-4331 (print), 1542-667X, 1553-8095",
ISSN-L = "0362-4331",
bibdate = "Sat Nov 04 10:31:36 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/birkhoff-garrett.bib",
URL = "https://www.nytimes.com/1996/11/28/us/garrett-birkhoff-85-mathematics-theorist-dies.html",
acknowledgement = ack-nhfb,
fjournal = "New York Times",
journal-URL = "http://www.nytimes.com/",
subject-dates = "Garrett Birkhoff (19 January 1911--22 November
1996)",
}
@Article{Young:1997:GBA,
author = "David M. Young",
title = "{Garrett Birkhoff} and applied mathematics",
journal = j-NAMS,
volume = "44",
number = "11",
pages = "1446--1450",
month = dec,
year = "1997",
CODEN = "AMNOAN",
ISSN = "0002-9920 (print), 1088-9477 (electronic)",
ISSN-L = "0002-9920",
MRclass = "01A70",
MRnumber = "1488573",
bibdate = "Tue Feb 15 08:56:10 2011",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/birkhoff-garrett.bib;
https://www.math.utah.edu/pub/bibnet/authors/v/varga-richard-steven.bib;
https://www.math.utah.edu/pub/bibnet/authors/y/young-david-m.bib",
URL = "https://www.ams.org/journals/notices/199712/199712FullIssue.pdf",
acknowledgement = ack-nhfb,
fjournal = "Notices of the American Mathematical Society",
journal-URL = "http://www.ams.org/notices/",
remark-1 = "From the second paragraph: ``The author gratefully
acknowledges the contributions of Richard Varga and
Carl de Boor. Varga contributed the section entitled
`Reactor Calculations and Nuclear Power', and de Boor
contributed the section entitled `Spline
Approximations'.''",
remark-2 = "From page 1447, column 2: ``David Kincaid and David
Young, who directed the development at The University
of Texas of the ITPACK software package for solving
large sparse linear systems by iterative methods,
regard Birkhoff as the `godfather' of the project.''",
subject-dates = "Garrett Birkhoff (19 January 1911--22 November 1996);
Richard S. Varga (8 October 1928--25 February 2022)",
}
@Article{Zhu:1997:BIP,
author = "Ping Zhu",
title = "On {Birkhoff} interpolation by polynomials in several
variables",
journal = j-J-COMPUT-APPL-MATH,
volume = "85",
number = "2",
pages = "263--270",
day = "12",
month = nov,
year = "1997",
CODEN = "JCAMDI",
ISSN = "0377-0427 (print), 1879-1778 (electronic)",
ISSN-L = "0377-0427",
bibdate = "Sat Feb 25 12:36:04 MST 2017",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/birkhoff-garrett.bib;
https://www.math.utah.edu/pub/tex/bib/jcomputapplmath1990.bib",
URL = "http://www.sciencedirect.com/science/article/pii/S0377042797001222",
acknowledgement = ack-nhfb,
fjournal = "Journal of Computational and Applied Mathematics",
journal-URL = "http://www.sciencedirect.com/science/journal/03770427",
subject-dates = "Garrett Birkhoff (19 January 1911--22 November
1996)",
}
@Article{Bautista:1998:PBW,
author = "C{\'e}sar Bautista",
title = "A {Poincar{\'e}--Birkhoff--Witt} theorem for
generalized {Lie} color algebras",
journal = j-J-MATH-PHYS,
volume = "39",
number = "7",
pages = "3828--3843",
month = jul,
year = "1998",
CODEN = "JMAPAQ",
ISSN = "0022-2488 (print), 1089-7658 (electronic), 1527-2427",
ISSN-L = "0022-2488",
bibdate = "Fri Oct 20 08:18:04 MDT 2000",
bibsource = "http://www.aip.org/ojs/jmp.html;
https://www.math.utah.edu/pub/bibnet/authors/b/birkhoff-garrett.bib;
https://www.math.utah.edu/pub/tex/bib/jmathphys1995.bib",
acknowledgement = ack-nhfb,
fjournal = "Journal of Mathematical Physics",
journal-URL = "http://jmp.aip.org/",
subject-dates = "Garrett Birkhoff (19 January 1911--22 November
1996)",
}
@Article{MacLane:1998:GBJ,
author = "Saunders {Mac Lane}",
title = "{Garrett Birkhoff (10 January 1911--22 November
1996)}",
journal = j-PROC-AMER-PHIL-SOC,
volume = "142",
number = "4",
pages = "646--649",
month = dec,
year = "1998",
CODEN = "PAPCAA",
ISSN = "0003-049X (print), 2326-9243 (electronic)",
ISSN-L = "0003-049X",
bibdate = "Sat Aug 24 19:38:23 MDT 2019",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/birkhoff-garrett.bib;
https://www.math.utah.edu/pub/tex/bib/procamerphilsoc1950.bib",
URL = "https://www.jstor.org/stable/3152287",
acknowledgement = ack-nhfb,
ajournal = "Proc. Amer. Philos. Soc.",
author-dates = "Saunders Mac Lane (1909--2005)",
fjournal = "Proceedings of the American Philosophical Society",
journal-URL = "http://www.jstor.org/journal/procamerphilsoci",
subject-dates = "Garrett Birkhoff (19 January 1911--22 November
1996)",
}
@Article{Rutz:1998:TBT,
author = "Solange F. Rutz",
title = "Theorems of {Birkhoff} type in {Finsler} spaces",
journal = j-COMP-PHYS-COMM,
volume = "115",
number = "2--3",
pages = "300--315",
day = "2",
month = dec,
year = "1998",
CODEN = "CPHCBZ",
DOI = "https://doi.org/10.1016/S0010-4655(98)00120-9",
ISSN = "0010-4655 (print), 1879-2944 (electronic)",
ISSN-L = "0010-4655",
bibdate = "Mon Feb 13 21:30:33 MST 2012",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/birkhoff-garrett.bib;
https://www.math.utah.edu/pub/tex/bib/compphyscomm1990.bib",
URL = "http://www.sciencedirect.com/science/article/pii/S0010465598001209",
acknowledgement = ack-nhfb,
fjournal = "Computer Physics Communications",
journal-URL = "http://www.sciencedirect.com/science/journal/00104655",
subject-dates = "Garrett Birkhoff (19 January 1911--22 November
1996)",
}
@Article{Varga:1998:MGB,
author = "Richard S. Varga",
title = "In memoriam: {Garrett Birkhoff: January 10,
1911--November 11, 1996}",
journal = j-J-APPROX-THEORY,
volume = "95",
number = "1",
pages = "iv, 1--4",
year = "1998",
CODEN = "JAXTAZ",
DOI = "https://doi.org/10.1006/jath.1998.3288",
ISSN = "0021-9045 (print), 1096-0430 (electronic)",
ISSN-L = "0021-9045",
MRclass = "01A70",
MRnumber = "1645974",
bibdate = "Wed Apr 20 14:10:28 2022",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/birkhoff-garrett.bib;
https://www.math.utah.edu/pub/bibnet/authors/v/varga-richard-steven.bib",
acknowledgement = ack-nhfb,
author-dates = "Richard S. Varga (8 October 1928--25 February 2022)",
fjournal = "Journal of Approximation Theory",
journal-URL = "http://www.sciencedirect.com/science/journal/00219045",
subject-dates = "Garrett Birkhoff (19 January 1911--22 November
1996)",
}
@Article{Bueso:1999:WFG,
author = "J. L. Bueso and J. G{\'o}mez Torrecillas and F. J.
Lobillo",
title = "When is a finitely generated algebra of
{Poincar{\'e}--Birkhoff--Witt} type?",
journal = j-SIGSAM,
volume = "33",
number = "3",
pages = "14--15",
month = sep,
year = "1999",
CODEN = "SIGSBZ",
ISSN = "0163-5824 (print), 1557-9492 (electronic)",
ISSN-L = "0163-5824",
bibdate = "Fri Feb 8 18:27:06 MST 2002",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/birkhoff-garrett.bib;
https://www.math.utah.edu/pub/tex/bib/sigsam.bib",
acknowledgement = ack-nhfb,
ajournal = "SIGSAM Bull.",
fjournal = "SIGSAM Bulletin (ACM Special Interest Group on
Symbolic and Algebraic Manipulation)",
journal-URL = "http://portal.acm.org/browse_dl.cfm?idx=J1000",
subject-dates = "Garrett Birkhoff (19 January 1911--22 November
1996)",
}
@Article{Ton-That:1999:PPC,
author = "Tuong Ton-That and Thai-Duong Tran",
title = "{Poincar{\'e}}'s proof of the so-called
{Birkhoff--Witt} theorem",
journal = j-REV-HIST-MATH,
volume = "5",
number = "2",
pages = "249--284 (2000)",
year = "1999",
CODEN = "????",
ISSN = "1262-022X (print), 1777-568X (electronic)",
ISSN-L = "1262-022X",
MRclass = "01A60 (01A55 17-03 17B35)",
MRnumber = "1793103",
bibdate = "Wed Mar 28 09:42:44 2018",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/birkhoff-garrett.bib;
https://www.math.utah.edu/pub/tex/bib/revhistmath.bib",
URL = "http://smf4.emath.fr/Publications/RevueHistoireMath/5/html/smf_rhm_5_249-284.html",
acknowledgement = ack-nhfb,
ajournal = "Rev. Histoire Math.",
fjournal = "Revue d'Histoire des Math{\'e}matiques. Journal for
the History of Mathematics",
journal-URL = "http://smf4.emath.fr/Publications/RevueHistoireMath/",
subject-dates = "Garrett Birkhoff (19 January 1911--22 November
1996)",
}
@Article{Anonymous:19xx:BRA,
author = "Anonymous",
title = "Book Review: {{\booktitle{Advances in Computers,
Volume 3}}. Franz L. Alt and Morris Rubinoff, eds.
Academic Press, New York, 1962. 361 pp.}",
journal = j-TRANS-AM-NUCL-SOC,
volume = "??",
number = "??",
pages = "465--465",
month = "????",
year = "19xx",
CODEN = "TANSAO",
DOI = "",
ISSN = "0003-018X",
bibdate = "Sat Nov 04 07:01:54 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/birkhoff-garrett.bib;
https://www.math.utah.edu/pub/bibnet/authors/v/varga-richard-steven.bib;
https://www.math.utah.edu/pub/bibnet/authors/y/young-david-m.bib",
URL = "https://www.ans.org/pubs/journals/download/article-26563/",
acknowledgement = ack-nhfb,
fjournal = "Transactions of the American Nuclear Society",
journal-URL = "https://www.ans.org/pubs/transactions/",
remark = "The page images carry no volume, issue, month, year
data, and I cannot find an archive of the issues of
this journal.",
remark = "From the review: ``The book consists of six articles:
The Computation of Satellite Orbit Trajectories, by
Samuel D. Conte, pp. 2--76. Multiprogramming, by E. F.
Codd, pp. 78--153. Recent Developments in Nonlinear
Programming, by Philip Wolfe, pp. 156--187. Alternating
Direction Implicit Methods, by Garrett Birkhoff,
Richard S. Varga, and David Young, pp. 190--273.
Combined Analog--Digital Techniques in Simulation, by
Harold K. Skramstad, pp. 275--298. Information
Technology and the Law, by Reed C. Lawlor, pp.
299--346.''",
subject-dates = "David M. Young, Jr. (October 20, 1923--December 21,
2008); Garrett Birkhoff (19 January 1911--22 November
1996); Richard S. Varga (8 October 1928--25 February
2022)",
}
@Article{Bokhari:2000:BIS,
author = "M. A. Bokhari and H. P. Dikshit and A. Sharma",
title = "{Birkhoff} interpolation on some perturbed roots of
unity: revisited",
journal = j-NUMER-ALGORITHMS,
volume = "25",
number = "1--4",
pages = "47--62",
month = sep,
year = "2000",
CODEN = "NUALEG",
ISSN = "1017-1398 (print), 1572-9265 (electronic)",
ISSN-L = "1017-1398",
MRclass = "41A05 (65D15)",
MRnumber = "1 827 145",
bibdate = "Mon Sep 29 08:37:05 MDT 2003",
bibsource = "http://www.kluweronline.com/issn/1017-1398;
https://www.math.utah.edu/pub/bibnet/authors/b/birkhoff-garrett.bib;
https://www.math.utah.edu/pub/tex/bib/numeralgorithms.bib;
MathSciNet database",
note = "Mathematical journey through analysis, matrix theory
and scientific computation (Kent, OH, 1999).",
URL = "http://ipsapp007.kluweronline.com/content/getfile/5058/3/25/abstract.htm;
http://ipsapp007.kluweronline.com/content/getfile/5058/3/25/fulltext.pdf",
acknowledgement = ack-nhfb,
fjournal = "Numerical Algorithms",
journal-URL = "http://link.springer.com/journal/11075",
subject-dates = "Garrett Birkhoff (19 January 1911--22 November
1996)",
}
@Article{Carnicer:2000:BHB,
author = "J. M. Carnicer and M. Gasca",
title = "Bivariate {Hermite--Birkhoff} polynomial interpolation
with asymptotic conditions",
journal = j-J-COMPUT-APPL-MATH,
volume = "119",
number = "1--2",
pages = "69--79",
day = "1",
month = jul,
year = "2000",
CODEN = "JCAMDI",
ISSN = "0377-0427 (print), 1879-1778 (electronic)",
ISSN-L = "0377-0427",
bibdate = "Sat Feb 25 12:43:35 MST 2017",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/birkhoff-garrett.bib;
https://www.math.utah.edu/pub/tex/bib/jcomputapplmath2000.bib",
URL = "http://www.sciencedirect.com/science/article/pii/S037704270000371X",
acknowledgement = ack-nhfb,
fjournal = "Journal of Computational and Applied Mathematics",
journal-URL = "http://www.sciencedirect.com/science/journal/03770427",
subject-dates = "Garrett Birkhoff (19 January 1911--22 November
1996)",
}
@Article{Chekanov:2000:GSC,
author = "N. A. Chekanov and V. A. Rostovtsev and Y. Uwano and
S. I. Vinitsky",
title = "{GITA} $^{-1}$: a symbolic computing program for an
inverse problem of the {Birkhoff--Gustavson} normal
form expansion",
journal = j-COMP-PHYS-COMM,
volume = "126",
number = "1--2",
pages = "47--50",
month = apr,
year = "2000",
CODEN = "CPHCBZ",
DOI = "https://doi.org/10.1016/S0010-4655(99)00491-9",
ISSN = "0010-4655 (print), 1879-2944 (electronic)",
ISSN-L = "0010-4655",
bibdate = "Mon Feb 13 23:40:37 MST 2012",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/birkhoff-garrett.bib;
https://www.math.utah.edu/pub/tex/bib/compphyscomm2000.bib",
URL = "http://www.sciencedirect.com/science/article/pii/S0010465599004919",
acknowledgement = ack-nhfb,
fjournal = "Computer Physics Communications",
journal-URL = "http://www.sciencedirect.com/science/journal/00104655",
subject-dates = "Garrett Birkhoff (19 January 1911--22 November
1996)",
}
@Article{deBruin:2000:BIN,
author = "Marcel G. {de Bruin} and A. Sharma",
title = "{Birkhoff} interpolation on non-uniformly distributed
roots of unity",
journal = j-NUMER-ALGORITHMS,
volume = "25",
number = "1--4",
pages = "123--138",
month = sep,
year = "2000",
CODEN = "NUALEG",
ISSN = "1017-1398 (print), 1572-9265 (electronic)",
ISSN-L = "1017-1398",
MRclass = "41A05 (65D15)",
MRnumber = "1 827 150",
bibdate = "Mon Sep 29 08:37:05 MDT 2003",
bibsource = "http://www.kluweronline.com/issn/1017-1398;
https://www.math.utah.edu/pub/bibnet/authors/b/birkhoff-garrett.bib;
https://www.math.utah.edu/pub/tex/bib/numeralgorithms.bib;
MathSciNet database",
note = "Mathematical journey through analysis, matrix theory
and scientific computation (Kent, OH, 1999).",
URL = "http://ipsapp007.kluweronline.com/content/getfile/5058/3/4/abstract.htm;
http://ipsapp007.kluweronline.com/content/getfile/5058/3/4/fulltext.pdf",
acknowledgement = ack-nhfb,
fjournal = "Numerical Algorithms",
journal-URL = "http://link.springer.com/journal/11075",
subject-dates = "Garrett Birkhoff (19 January 1911--22 November
1996)",
}
@Article{deBruin:2000:BIU,
author = "M. G. {de Bruin} and H. P. Dikshit and A. Sharma",
title = "{Birkhoff} interpolation on unity and on {M{\"o}bius}
transform of the roots of unity",
journal = j-NUMER-ALGORITHMS,
volume = "23",
number = "1",
pages = "115--125",
month = mar,
year = "2000",
CODEN = "NUALEG",
ISSN = "1017-1398 (print), 1572-9265 (electronic)",
ISSN-L = "1017-1398",
MRclass = "41A05 (65D05)",
MRnumber = "2001e:41002",
MRreviewer = "Knut Petras",
bibdate = "Mon Sep 29 08:37:01 MDT 2003",
bibsource = "http://www.kluweronline.com/issn/1017-1398;
https://www.math.utah.edu/pub/bibnet/authors/b/birkhoff-garrett.bib;
https://www.math.utah.edu/pub/tex/bib/numeralgorithms.bib;
MathSciNet database",
URL = "http://ipsapp007.kluweronline.com/content/getfile/5058/24/6/abstract.htm;
http://ipsapp007.kluweronline.com/content/getfile/5058/24/6/fulltext.pdf",
acknowledgement = ack-nhfb,
fjournal = "Numerical Algorithms",
journal-URL = "http://link.springer.com/journal/11075",
subject-dates = "Garrett Birkhoff (19 January 1911--22 November
1996)",
}
@Article{Alvis:2001:BTP,
author = "Dean Alvis and Michael Kinyon",
title = "{Birkhoff}'s Theorem for Panstochastic Matrices",
journal = j-AMER-MATH-MONTHLY,
volume = "108",
number = "1",
pages = "28--37",
month = jan,
year = "2001",
CODEN = "AMMYAE",
DOI = "https://doi.org/10.2307/2695673",
ISSN = "0002-9890 (print), 1930-0972 (electronic)",
ISSN-L = "0002-9890",
bibdate = "Mon Jan 30 12:00:12 MST 2012",
bibsource = "http://www.jstor.org/journals/00029890.html;
http://www.jstor.org/stable/i346001;
https://www.math.utah.edu/pub/bibnet/authors/b/birkhoff-garrett.bib;
https://www.math.utah.edu/pub/tex/bib/amermathmonthly2000.bib",
note = "Refers to \cite{Birkhoff:1946:TOA}.",
URL = "http://www.jstor.org/stable/2695673",
acknowledgement = ack-nhfb,
fjournal = "American Mathematical Monthly",
journal-URL = "http://www.jstor.org/journals/00029890.html",
subject-dates = "Garrett Birkhoff (19 January 1911--22 November
1996)",
}
@Article{Chang:2001:LBB,
author = "Cheng-Shang Chang and Duan-Shin Lee and Ching-Ming
Lien",
title = "Load balanced {Birkhoff--von Neumann} switches with
resequencing",
journal = j-SIGMETRICS,
volume = "29",
number = "3",
pages = "23--24",
month = dec,
year = "2001",
CODEN = "????",
DOI = "https://doi.org/10.1145/507553.507563",
ISSN = "0163-5999 (print), 1557-9484 (electronic)",
ISSN-L = "0163-5999",
bibdate = "Thu Jun 26 11:37:25 MDT 2008",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/birkhoff-garrett.bib;
https://www.math.utah.edu/pub/tex/bib/sigmetrics.bib",
abstract = "In [2], we proposed the load balanced Birkhoff--von
Neumann switch with one-stage buffering (see Figure 1).
Such a switch consists of two stages of crossbar
switching fabrics and one stage of buffering. The
buffer at the input port of the second stage uses the
Virtual Output Queueing (VOQ) technique to solve the
problem of head-of-line blocking. In such a switch,
packets are of the same size. Also, time is slotted and
synchronized so that exactly one packet can be
transmitted within a time slot. In a time slot, both
crossbar switches set up connection patterns
corresponding to permutation matrices that are
periodically generated from a one-cycle permutation
matrix.\par
The reasoning behind such a switch architecture is as
follows: since the connection patterns are periodic,
packets from the same input port of the first stage are
distributed in a round-robin fashion to the second
stage according to their arrival times. Thus, the first
stage performs load balancing for the incoming traffic.
As the traffic coming into the second stage is load
balanced, it suffices to use simple periodic connection
patterns to perform switching at the second stage. This
is shown in [2] as a special case of the original
Birkhoff-von Neumann decomposition used in [1]. There
are several advantages of using such an architecture,
including scalability, low hardware complexity, 100\%
throughput, low average delay in heavy load and bursty
traffic, and efficient buffer usage. However, the main
drawback of the load balanced Birkhoff-von Neumann
switch with one-stage buffering is that packets might
be out of sequence.\par
The main objective of this paper is to solve the
out-of-sequence problem that occurs in the load
balanced Birkhoff-von Neumann switch with one-stage
buffering. One quick fix is to add a
resequencing-and-output buffer after the second stage.
However, as packets are distributed according to their
{\em arrival times\/} at the first stage, there is no
guarantee on the size of the resequencing-and-output
buffer to prevent packet losses. For this, one needs to
distributed packets according to their {\em flows}, as
indicated in the paper by Iyer and McKeown [5]. This is
done by adding a flow splitter and a load-balancing
buffer in front of the first stage (see Figure 2). For
an $ N \times N $ switch, the load-balancing buffer at
each input port of the first stage consists of $N$
virtual output queues (VOQ) destined for the $N$ output
ports of that stage. Packets form the same {\em flow\/}
are split in the round-robin fashion to the $N$ virtual
output queues and scheduled under the First Come First
Served (FCFS) policy. By so doing, load balancing can
be achieved for each flow as packets from the same flow
are split almost evenly to the input ports of the
second stage. More importantly, as pointed out in [5],
the delay and the buffer size of the load-balancing
buffer are bounded by constants that only depend on the
size of the switch and the number of flows. The
resequencing-and-output buffer after the second stage
not only performs resequencing to keep packets in
sequence, but also stores packets waiting for
transmission from the output links.\par
In this paper, we consider a traffic model with
multicasting flows. This is a more general model than
the point-to-point traffic model in [5]. A multicasting
flow is stream of packets that has one common input and
a set of common outputs. For the multicasting flows,
fanout splitting (see e.g., [4]) is performed at the
central buffers (the VOQ in front of the second stage).
The central buffers are assumed to be infinite so that
no packets are lost in the switch. We consider two
types of scheduling policies in the central buffers:
the FCFS policy and the Earliest Deadline First (EDF)
policy. For the FCFS policy, a jitter control
mechanism, is added in the VOQ in front of the second
stage. Such a jitter control mechanism delays every
packet to its maximum delay at the first stage so that
the flows entering the second stage are simply
time-shifted flows of the original ones. Our main
result for the FCFS scheme with jitter controls is the
following theorem. The proof of Theorem 1 is shown in
the full report [3].\par
Theorem 1: Suppose that all the buffers are empty at
time 0. Then the followings hold for FCFS scheme with
jitter control.\par
(i) The end-to-end delay for a packet through our
switch with multi-stage buffering is bounded above by
the sum of the delay through the corresponding FCFS
output-buffered switch and $ N L_{\rm max} + (N + 1)
M_{\rm max}$, where $ L_{\rm max}$ (resp. $ M_{\rm
max}$) is the maximum number of flows at an input
(resp. output) port.\par
(ii) The load-balancing buffer at an input port of the
first stage is bounded above by $ N L_{\rm
max}$.\par
(iii) The delay through the load-balancing buffer at an
input port of the first stage is bounded above by $ N
L_{\rm max}$.\par
(iv) The resequencing-and-output buffer at an output
port of the second stage is bounded above $ (N + 1)
M_{\rm max}$.\par
In the EDF scheme (see Figure 3), every packet is
assigned a deadline that is the departure time from the
corresponding FCFS output-buffered switch. Packets are
scheduled according to their deadlines in the central
buffers. For the EDF scheme, there is no need to
implement the jitter control mechanism in the FCFS
scheme. As such, average packet delay can be greatly
reduced. However, as there is no jitter control, one
might need a larger resequencing buffer than that in
the FCFS scheme with jitter control. Since the first
stage is the same as that in the FCFS scheme, both the
delay and the buffer size of the load-balancing buffer
are still bounded by $ N L_{\rm max}$. Moreover, we
show the following theorem for the EDF scheme. Its
proof is given in the full report [3].\par
Theorem 2: Suppose that all the buffers are empty at
time 0. Then the followings hold for the EDF
scheme.\par
(i) The end-to-end delay for a packet through our
switch with multi-stage buffering is bounded above by
the sum of the delay through the corresponding FCFS
output-buffered switch and $ N (L_{\rm max} + M_{\rm
max})$.\par
(ii) The resequencing-and-output buffer at an output
port of the second stage is bounded above $ N (L_{\rm
max} + M_{\rm max})$.\par
Computing the departure times from the corresponding
FCFS output-buffered switch needs global information of
all the inputs. A simple way is to use the packet
arrival times as deadlines. Then the EDF scheme based
on arrival times yields the same departure order except
those packets that arrives at same time. Since there
are at most $ M_{\rm max}$ packets that can arrive at
the same time to an output port of the corresponding
output-buffered switch, the end-to-end delay for a
packet through the multi-stage switch using arrival
times as deadlines is bounded above by the sum of the
delay through the corresponding FCFS output-buffered
switch and $ N L_{\rm max} + (N + 1) M_{\rm max}$.
Also, the resequencing-and-output buffer at an output
port of the second stage in this case is bounded above
$ N L_{\rm max} + (N + 1) M_{\rm max}$.",
acknowledgement = ack-nhfb,
ajournal = "Perform. Eval. Rev.",
fjournal = "ACM SIGMETRICS Performance Evaluation Review",
journal-URL = "https://dl.acm.org/loi/sigmetrics",
subject-dates = "Garrett Birkhoff (19 January 1911--22 November
1996)",
}
@Article{deBruin:2001:BIN,
author = "Marcel G. de Bruin and A. Sharma",
title = "{Birkhoff} interpolation on nonuniformly distributed
roots of unity {II}",
journal = j-J-COMPUT-APPL-MATH,
volume = "133",
number = "1--2",
pages = "295--303",
day = "1",
month = aug,
year = "2001",
CODEN = "JCAMDI",
ISSN = "0377-0427 (print), 1879-1778 (electronic)",
ISSN-L = "0377-0427",
bibdate = "Sat Feb 25 12:45:19 MST 2017",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/birkhoff-garrett.bib;
https://www.math.utah.edu/pub/tex/bib/jcomputapplmath2000.bib",
URL = "http://www.sciencedirect.com/science/article/pii/S0377042700006464",
acknowledgement = ack-nhfb,
fjournal = "Journal of Computational and Applied Mathematics",
journal-URL = "http://www.sciencedirect.com/science/journal/03770427",
subject-dates = "Garrett Birkhoff (19 January 1911--22 November
1996)",
}
@Article{Goldblatt:2001:WCA,
author = "Robert Goldblatt",
title = "What is the coalgebraic analogue of {Birkhoff}'s
variety theorem?",
journal = j-THEOR-COMP-SCI,
volume = "266",
number = "1--2",
pages = "853--886",
day = "6",
month = sep,
year = "2001",
CODEN = "TCSCDI",
ISSN = "0304-3975 (print), 1879-2294 (electronic)",
ISSN-L = "0304-3975",
bibdate = "Mon Nov 19 08:33:25 MST 2001",
bibsource = "http://www.elsevier.com/locate/issn/03043975;
https://www.math.utah.edu/pub/bibnet/authors/b/birkhoff-garrett.bib;
https://www.math.utah.edu/pub/tex/bib/tcs2000.bib",
URL = "http://www.elsevier.nl/gej-ng/10/41/16/216/27/54/abstract.html;
http://www.elsevier.nl/gej-ng/10/41/16/216/27/54/article.pdf",
acknowledgement = ack-nhfb,
fjournal = "Theoretical Computer Science",
journal-URL = "http://www.sciencedirect.com/science/journal/03043975/",
subject-dates = "Garrett Birkhoff (19 January 1911--22 November
1996)",
}
@Article{Rouillier:2001:SBI,
author = "Fabrice Rouillier and Mohab Safey {El Din} and
{\'E}ric Schost",
title = "Solving the {Birkhoff} Interpolation Problem via the
Critical Point Method: an Experimental Study",
journal = j-LECT-NOTES-COMP-SCI,
volume = "2061",
pages = "26--40",
year = "2001",
CODEN = "LNCSD9",
ISSN = "0302-9743 (print), 1611-3349 (electronic)",
ISSN-L = "0302-9743",
bibdate = "Sat Feb 2 13:04:17 MST 2002",
bibsource = "http://link.springer-ny.com/link/service/series/0558/tocs/t2061.htm;
https://www.math.utah.edu/pub/bibnet/authors/b/birkhoff-garrett.bib;
https://www.math.utah.edu/pub/tex/bib/lncs2001b.bib",
URL = "http://link.springer-ny.com/link/service/series/0558/bibs/2061/20610026.htm;
http://link.springer-ny.com/link/service/series/0558/papers/2061/20610026.pdf",
acknowledgement = ack-nhfb,
fjournal = "Lecture Notes in Computer Science",
journal-URL = "http://link.springer.com/bookseries/558",
subject-dates = "Garrett Birkhoff (19 January 1911--22 November
1996)",
}
@Article{McCarthy:2002:BTC,
author = "Nicholas McCarthy and David Ogilvie and Ilya
Spitkovsky and Nahum Zobin",
title = "{Birkhoff}'s theorem and convex hulls of {Coxeter}
groups",
journal = j-LINEAR-ALGEBRA-APPL,
volume = "347",
number = "1--3",
pages = "219--231",
day = "15",
month = may,
year = "2002",
CODEN = "LAAPAW",
ISSN = "0024-3795 (print), 1873-1856 (electronic)",
ISSN-L = "0024-3795",
bibdate = "Mon May 13 06:49:44 MDT 2002",
bibsource = "http://www.elsevier.com/locate/laa;
https://www.math.utah.edu/pub/bibnet/authors/b/birkhoff-garrett.bib;
https://www.math.utah.edu/pub/tex/bib/linala2000.bib",
URL = "http://www.elsevier.com/gej-ng/10/30/19/194/27/40/abstract.html",
acknowledgement = ack-nhfb,
fjournal = "Linear Algebra and its Applications",
journal-URL = "http://www.sciencedirect.com/science/journal/00243795",
subject-dates = "Garrett Birkhoff (19 January 1911--22 November
1996)",
}
@Article{Venezia:2002:CSI,
author = "Antonio Venezia",
title = "Un Caso Storico Irrisolto: Le Critiche di {Popper}
alla Logica Quantistica di {Birkhoff} e {von Neumann}.
({Italian}) [A Case of Unsolved History: The Criticism
of {Popper} of the Quantum Logic of {Birkhoff} and {von
Neumann}]",
journal = j-HIST-MATH,
volume = "29",
number = "??",
pages = "138--156",
month = "????",
year = "2002",
CODEN = "HIMADS",
ISSN = "0315-0860 (print), 1090-249X (electronic)",
ISSN-L = "0315-0860",
bibdate = "Tue Jun 25 11:19:44 2013",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/birkhoff-garrett.bib;
https://www.math.utah.edu/pub/bibnet/authors/v/von-neumann-john.bib;
https://www.math.utah.edu/pub/tex/bib/histmath.bib",
acknowledgement = ack-nhfb,
fjournal = "Historia Mathematica",
journal-URL = "http://www.sciencedirect.com/science/journal/03150860",
language = "Italian",
subject-dates = "Garrett Birkhoff (19 January 1911--22 November
1996)",
}
@Article{Zund:2002:GDB,
author = "Joseph D. Zund",
title = "{George David Birkhoff} and {John von Neumann}: a
question of priority and the ergodic theorems,
1931--1932",
journal = j-HIST-MATH,
volume = "29",
number = "2",
pages = "138--156",
month = may,
year = "2002",
CODEN = "HIMADS",
DOI = "https://doi.org/10.1006/hmat.2001.2338",
ISSN = "0315-0860 (print), 1090-249X (electronic)",
ISSN-L = "0315-0860",
MRclass = "01A60 (01A70 82-03)",
MRnumber = "1896971 (2002m:01024)",
bibdate = "Wed Jun 26 06:20:06 MDT 2013",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/birkhoff-garrett.bib;
https://www.math.utah.edu/pub/bibnet/authors/v/von-neumann-john.bib;
https://www.math.utah.edu/pub/tex/bib/histmath.bib",
URL = "http://www.sciencedirect.com/science/article/pii/S0315086001923389",
acknowledgement = ack-nhfb,
fjournal = "Historia Mathematica",
journal-URL = "http://www.sciencedirect.com/science/journal/03150860/",
subject-dates = "Garrett Birkhoff (19 January 1911--22 November
1996)",
}
@Article{Broer:2003:BN,
author = "Henk Broer and Igor Hoveijn and Gerton Lunter and Gert
Vegter",
title = "4. {Birkhoff} normalization",
journal = j-LECT-NOTES-MATH,
volume = "1806",
pages = "71--84",
year = "2003",
CODEN = "LNMAA2",
DOI = "https://doi.org/10.1007/978-3-540-36398-9_4",
ISBN = "3-540-00403-3 (print), 3-540-36398-X (e-book)",
ISBN-13 = "978-3-540-00403-5 (print), 978-3-540-36398-9
(e-book)",
ISSN = "0075-8434 (print), 1617-9692 (electronic)",
ISSN-L = "0075-8434",
bibdate = "Fri May 9 19:07:01 MDT 2014",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/birkhoff-garrett.bib;
https://www.math.utah.edu/pub/tex/bib/lnm2000.bib",
URL = "http://link.springer.com/chapter/10.1007/978-3-540-36398-9_4/",
acknowledgement = ack-nhfb,
book-DOI = "https://doi.org/10.1007/b10414",
book-URL = "http://www.springerlink.com/content/978-3-540-36398-9",
fjournal = "Lecture Notes in Mathematics",
journal-URL = "http://link.springer.com/bookseries/304",
subject-dates = "Garrett Birkhoff (19 January 1911--22 November
1996)",
}
@Article{Cavazos-Cadena:2003:ADB,
author = "Rolando Cavazos-Cadena",
title = "An alternative derivation of {Birkhoff}'s formula for
the contraction coefficient of a positive matrix",
journal = j-LINEAR-ALGEBRA-APPL,
volume = "375",
number = "1",
pages = "291--297",
day = "1",
month = dec,
year = "2003",
CODEN = "LAAPAW",
ISSN = "0024-3795 (print), 1873-1856 (electronic)",
ISSN-L = "0024-3795",
bibdate = "Fri Jan 2 14:12:20 MST 2004",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/birkhoff-garrett.bib;
https://www.math.utah.edu/pub/tex/bib/linala2000.bib",
acknowledgement = ack-nhfb,
fjournal = "Linear Algebra and its Applications",
journal-URL = "http://www.sciencedirect.com/science/journal/00243795",
subject-dates = "Garrett Birkhoff (19 January 1911--22 November
1996)",
}
@Article{Choirat:2003:FVB,
author = "Christine Choirat and Christian Hess and Raffaello
Seri",
title = "A functional version of the {Birkhoff} ergodic theorem
for a normal integrand: a variational approach",
journal = j-ANN-PROBAB,
volume = "31",
number = "1",
pages = "63--92",
month = jan,
year = "2003",
CODEN = "APBYAE",
ISSN = "0091-1798 (print), 2168-894X (electronic)",
ISSN-L = "0091-1798",
bibdate = "Sun Apr 20 10:44:17 MDT 2014",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/birkhoff-garrett.bib;
https://www.math.utah.edu/pub/tex/bib/annprobab2000.bib",
URL = "http://projecteuclid.org/euclid.aop/1046294304",
acknowledgement = ack-nhfb,
fjournal = "Annals of Probability",
journal-URL = "http://projecteuclid.org/all/euclid.aop",
subject-dates = "Garrett Birkhoff (19 January 1911--22 November
1996)",
}
@Article{DeWit:2003:PBW,
author = "David {De Wit}",
title = "A {Poincar{\'e}--Birkhoff--Witt} commutator lemma for
{$ {\rm U}_q[{\rm gl}(m | n)] $}",
journal = j-J-MATH-PHYS,
volume = "44",
number = "1",
pages = "315--327",
month = jan,
year = "2003",
CODEN = "JMAPAQ",
ISSN = "0022-2488 (print), 1089-7658 (electronic), 1527-2427",
ISSN-L = "0022-2488",
bibdate = "Tue Dec 16 11:35:58 MST 2003",
bibsource = "http://www.aip.org/ojs/jmp.html;
https://www.math.utah.edu/pub/bibnet/authors/b/birkhoff-garrett.bib;
https://www.math.utah.edu/pub/tex/bib/jmathphys2000.bib",
acknowledgement = ack-nhfb,
fjournal = "Journal of Mathematical Physics",
journal-URL = "http://jmp.aip.org/",
subject-dates = "Garrett Birkhoff (19 January 1911--22 November
1996)",
}
@Article{Barreira:2004:BAH,
author = "Luis Barreira and Paulo Doutor",
title = "{Birkhoff} Averages for Hyperbolic Flows: Variational
Principles and Applications",
journal = j-J-STAT-PHYS,
volume = "115",
number = "5--6",
pages = "1567--1603",
month = jun,
year = "2004",
CODEN = "JSTPSB",
DOI = "https://doi.org/10.1023/B:JOSS.0000028069.64945.65",
ISSN = "0022-4715 (print), 1572-9613 (electronic)",
ISSN-L = "0022-4715",
bibdate = "Sat Aug 30 12:53:09 MDT 2014",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/birkhoff-garrett.bib;
https://www.math.utah.edu/pub/tex/bib/jstatphys2000.bib",
URL = "http://link.springer.com/article/10.1023/B%3AJOSS.0000028069.64945.65",
acknowledgement = ack-nhfb,
fjournal = "Journal of Statistical Physics",
journal-URL = "http://link.springer.com/journal/10955",
subject-dates = "Garrett Birkhoff (19 January 1911--22 November
1996)",
}
@Article{Carroll:2004:BCC,
author = "Joseph E. Carroll",
title = "{Birkhoff}'s contraction coefficient",
journal = j-LINEAR-ALGEBRA-APPL,
volume = "389",
number = "1",
pages = "227--234",
day = "15",
month = sep,
year = "2004",
CODEN = "LAAPAW",
ISSN = "0024-3795 (print), 1873-1856 (electronic)",
ISSN-L = "0024-3795",
bibdate = "Tue Nov 9 07:02:36 MST 2004",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/birkhoff-garrett.bib;
https://www.math.utah.edu/pub/tex/bib/linala2000.bib",
acknowledgement = ack-nhfb,
fjournal = "Linear Algebra and its Applications",
journal-URL = "http://www.sciencedirect.com/science/journal/00243795",
subject-dates = "Garrett Birkhoff (19 January 1911--22 November
1996)",
}
@Article{Girelli:2004:ABD,
author = "Florian Girelli and Thomas Krajewski and Pierre
Martinetti",
title = "An algebraic {Birkhoff} decomposition for the
continuous renormalization group",
journal = j-J-MATH-PHYS,
volume = "45",
number = "12",
pages = "4679--4697",
month = dec,
year = "2004",
CODEN = "JMAPAQ",
DOI = "https://doi.org/10.1063/1.1794366",
ISSN = "0022-2488 (print), 1089-7658 (electronic), 1527-2427",
ISSN-L = "0022-2488",
bibdate = "Tue Oct 25 18:16:58 MDT 2011",
bibsource = "http://www.aip.org/ojs/jmp.html;
https://www.math.utah.edu/pub/bibnet/authors/b/birkhoff-garrett.bib;
https://www.math.utah.edu/pub/tex/bib/jmathphys2000.bib",
URL = "http://jmp.aip.org/resource/1/jmapaq/v45/i12/p4679_s1",
acknowledgement = ack-nhfb,
fjournal = "Journal of Mathematical Physics",
journal-URL = "http://jmp.aip.org/",
onlinedate = "15 November 2004",
pagecount = "19",
subject-dates = "Garrett Birkhoff (19 January 1911--22 November
1996)",
}
@Article{Rouleux:2004:SCI,
author = "Michel Rouleux",
title = "Semi-classical Integrability,Hyperbolic Flows and the
{Birkhoff} Normal Form",
journal = j-CAN-J-MATH,
volume = "56",
number = "??",
pages = "1034--1067",
month = "????",
year = "2004",
CODEN = "CJMAAB",
DOI = "https://doi.org/10.4153/CJM-2004-047-6",
ISSN = "0008-414X (print), 1496-4279 (electronic)",
ISSN-L = "0008-414X",
bibdate = "Sat Sep 10 15:39:11 MDT 2011",
bibsource = "http://cms.math.ca/cjm/v56/;
https://www.math.utah.edu/pub/bibnet/authors/b/birkhoff-garrett.bib;
https://www.math.utah.edu/pub/tex/bib/canjmath2000.bib",
acknowledgement = ack-nhfb,
fjournal = "Canadian Journal of Mathematics = Journal canadien de
math{\'e}matiques",
journal-URL = "http://cms.math.ca/cjm/",
subject-dates = "Garrett Birkhoff (19 January 1911--22 November
1996)",
}
@Article{Bambusi:2005:BLT,
author = "Dario Bambusi and Massimiliano Berti",
title = "A {Birkhoff--Lewis}-Type Theorem for Some {Hamiltonian
PDEs}",
journal = j-SIAM-J-MATH-ANA,
volume = "37",
number = "1",
pages = "83--102",
year = "2005",
CODEN = "SJMAAH",
DOI = "https://doi.org/10.1137/S0036141003436107",
ISSN = "0036-1410 (print), 1095-7154 (electronic)",
ISSN-L = "0036-1410",
bibdate = "Thu Dec 29 09:30:22 MST 2005",
bibsource = "http://epubs.siam.org/sam-bin/dbq/toc/SIMA/37/1;
https://www.math.utah.edu/pub/bibnet/authors/b/birkhoff-garrett.bib;
https://www.math.utah.edu/pub/tex/bib/siamjmathana2000.bib",
URL = "http://epubs.siam.org/sam-bin/dbq/article/43610",
acknowledgement = ack-nhfb,
fjournal = "SIAM Journal on Mathematical Analysis",
journal-URL = "http://epubs.siam.org/sima",
subject-dates = "Garrett Birkhoff (19 January 1911--22 November
1996)",
}
@Article{deBruin:2005:PTB,
author = "M. G. de Bruin and H. P. Dikshit",
title = "{P{\'a}l}-type {Birkhoff} interpolation on
nonuniformly distributed points",
journal = j-NUMER-ALGORITHMS,
volume = "40",
number = "1",
pages = "1--16",
month = sep,
year = "2005",
CODEN = "NUALEG",
DOI = "https://doi.org/10.1007/s11075-005-1516-4",
ISSN = "1017-1398 (print), 1572-9265 (electronic)",
ISSN-L = "1017-1398",
bibdate = "Sat Nov 26 18:05:19 MST 2005",
bibsource = "http://springerlink.metapress.com/openurl.asp?genre=issue&issn=1017-1398&volume=40&issue=1;
https://www.math.utah.edu/pub/bibnet/authors/b/birkhoff-garrett.bib;
https://www.math.utah.edu/pub/tex/bib/numeralgorithms.bib",
URL = "http://www.springerlink.com/openurl.asp?genre=article&issn=1017-1398&volume=40&issue=1&spage=1",
acknowledgement = ack-nhfb,
fjournal = "Numerical Algorithms",
journal-URL = "http://link.springer.com/journal/11075",
subject-dates = "Garrett Birkhoff (19 January 1911--22 November
1996)",
}
@Article{Kamphorst:2005:FBC,
author = "Sylvie Oliffson Kamphorst and S{\^o}nia
Pinto-de-Carvalho",
title = "The first {Birkhoff} coefficient and the stability of
$2$-periodic orbits on billiards",
journal = j-EXP-MATH,
volume = "14",
number = "3",
pages = "299--306",
month = "????",
year = "2005",
CODEN = "????",
DOI = "https://doi.org/10.1080/10586458.2005.10128923",
ISSN = "1058-6458 (print), 1944-950X (electronic)",
ISSN-L = "1058-6458",
bibdate = "Mon Mar 5 15:33:58 MST 2012",
bibsource = "http://projecteuclid.org/euclid.em;
http://www.tandfonline.com/toc/uexm20/14/3;
https://www.math.utah.edu/pub/bibnet/authors/b/birkhoff-garrett.bib;
https://www.math.utah.edu/pub/tex/bib/expmath.bib",
URL = "http://projecteuclid.org/euclid.em/1128371755",
acknowledgement = ack-nhfb,
fjournal = "Experimental Mathematics",
journal-URL = "http://www.tandfonline.com/loi/uexm20",
onlinedate = "30 Jan 2011",
subject-dates = "Garrett Birkhoff (19 January 1911--22 November
1996)",
}
@Article{Zegers:2005:BTL,
author = "Robin Zegers",
title = "{Birkhoff}'s theorem in {Lovelock} gravity",
journal = j-J-MATH-PHYS,
volume = "46",
number = "7",
pages = "072502",
month = jul,
year = "2005",
CODEN = "JMAPAQ",
DOI = "https://doi.org/10.1063/1.1960798",
ISSN = "0022-2488 (print), 1089-7658 (electronic), 1527-2427",
ISSN-L = "0022-2488",
bibdate = "Wed Oct 26 09:03:37 MDT 2011",
bibsource = "http://www.aip.org/ojs/jmp.html;
https://www.math.utah.edu/pub/bibnet/authors/b/birkhoff-garrett.bib;
https://www.math.utah.edu/pub/tex/bib/jmathphys2005.bib",
URL = "http://jmp.aip.org/resource/1/jmapaq/v46/i7/p072502_s1",
acknowledgement = ack-nhfb,
fjournal = "Journal of Mathematical Physics",
journal-URL = "http://jmp.aip.org/",
onlinedate = "15 July 2005",
pagecount = "6",
subject-dates = "Garrett Birkhoff (19 January 1911--22 November
1996)",
}
@Article{Bernardi:2006:PBP,
author = "Olga Bernardi and Franco Cardin",
title = "{Poincar{\'e}--Birkhoff} periodic orbits for
mechanical {Hamiltonian} systems on {$ T^* \mathbb
{T}^n $}",
journal = j-J-MATH-PHYS,
volume = "47",
number = "7",
pages = "072701",
month = jul,
year = "2006",
CODEN = "JMAPAQ",
DOI = "https://doi.org/10.1063/1.2211930",
ISSN = "0022-2488 (print), 1089-7658 (electronic), 1527-2427",
ISSN-L = "0022-2488",
bibdate = "Wed Oct 26 09:04:26 MDT 2011",
bibsource = "http://www.aip.org/ojs/jmp.html;
https://www.math.utah.edu/pub/bibnet/authors/b/birkhoff-garrett.bib;
https://www.math.utah.edu/pub/tex/bib/jmathphys2005.bib",
URL = "http://jmp.aip.org/resource/1/jmapaq/v47/i7/p072701_s1",
acknowledgement = ack-nhfb,
fjournal = "Journal of Mathematical Physics",
journal-URL = "http://jmp.aip.org/",
onlinedate = "11 July 2006",
pagecount = "15",
subject-dates = "Garrett Birkhoff (19 January 1911--22 November
1996)",
}
@Article{Chang:2006:PGR,
author = "Cheng-Shang Chang and Duan-Shin Lee and Chi-Yao Yue",
title = "Providing guaranteed rate services in the load
balanced {Birkhoff--von Neumann} switches",
journal = j-IEEE-TRANS-NETWORKING,
volume = "14",
number = "3",
pages = "644--656",
year = "2006",
CODEN = "IEANEP",
ISSN = "1063-6692 (print), 1558-2566 (electronic)",
ISSN-L = "1063-6692",
bibdate = "Fri Jul 21 05:27:29 MDT 2006",
bibsource = "http://portal.acm.org/;
https://www.math.utah.edu/pub/bibnet/authors/b/birkhoff-garrett.bib;
https://www.math.utah.edu/pub/tex/bib/ieeetransnetworking.bib",
acknowledgement = ack-nhfb,
fjournal = "IEEE\slash ACM Transactions on Networking",
journal-URL = "http://portal.acm.org/browse_dl.cfm?idx=J771",
subject-dates = "Garrett Birkhoff (19 January 1911--22 November
1996)",
}
@Article{Kresic-Juric:2006:BFP,
author = "Sasa Kresi{\'c}-Juri{\'c}",
title = "On the {Birkhoff} factorization problem for the
{Heisenberg} magnet and nonlinear {Schr{\"o}dinger}
equations",
journal = j-J-MATH-PHYS,
volume = "47",
number = "6",
pages = "063501",
month = jun,
year = "2006",
CODEN = "JMAPAQ",
DOI = "https://doi.org/10.1063/1.2203231",
ISSN = "0022-2488 (print), 1089-7658 (electronic), 1527-2427",
ISSN-L = "0022-2488",
bibdate = "Wed Oct 26 09:04:21 MDT 2011",
bibsource = "http://www.aip.org/ojs/jmp.html;
https://www.math.utah.edu/pub/bibnet/authors/b/birkhoff-garrett.bib;
https://www.math.utah.edu/pub/bibnet/authors/h/heisenberg-werner.bib;
https://www.math.utah.edu/pub/tex/bib/jmathphys2005.bib",
URL = "http://jmp.aip.org/resource/1/jmapaq/v47/i6/p063501_s1",
acknowledgement = ack-nhfb,
fjournal = "Journal of Mathematical Physics",
journal-URL = "http://jmp.aip.org/",
onlinedate = "31 May 2006",
pagecount = "12",
subject-dates = "Garrett Birkhoff (19 January 1911--22 November
1996)",
}
@Article{MarquesdeSa:2006:SSB,
author = "Eduardo {Marques de S{\'a}}",
title = "Some subpolytopes of the {Birkhoff} polytope",
journal = j-ELECTRON-J-LINEAR-ALGEBRA,
volume = "15",
number = "1",
pages = "1--7",
year = "2006",
CODEN = "????",
ISSN = "1081-3810 (print), 1537-9582 (electronic)",
ISSN-L = "1081-3810",
MRclass = "52B11 (15A51)",
MRnumber = "2201770 (2006k:52022)",
MRreviewer = "Vakif Y. Dzhafarov",
bibdate = "Tue Sep 16 07:27:40 MDT 2014",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/birkhoff-garrett.bib;
https://www.math.utah.edu/pub/tex/bib/ela.bib",
URL = "http://repository.uwyo.edu/ela/vol15/iss1/1",
acknowledgement = ack-nhfb,
ajournal = "Electron. J. Linear Algebra",
fjournal = "Electronic Journal of Linear Algebra",
journal-URL = "http://repository.uwyo.edu/ela/",
subject-dates = "Garrett Birkhoff (19 January 1911--22 November
1996)",
}
@Article{Bebiano:2007:EBT,
author = "Nat{\'a}lia Bebiano and Jo{\~a}o da Provid{\^e}ncia
and Alexander Kova{\v{c}}ec",
title = "An extension of {Birkhoff}'s theorem with an
application to determinants",
journal = j-LINEAR-ALGEBRA-APPL,
volume = "427",
number = "1",
pages = "130--137",
day = "1",
month = nov,
year = "2007",
CODEN = "LAAPAW",
ISSN = "0024-3795 (print), 1873-1856 (electronic)",
ISSN-L = "0024-3795",
bibdate = "Wed Mar 30 14:19:44 MDT 2011",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/birkhoff-garrett.bib;
https://www.math.utah.edu/pub/tex/bib/linala2000.bib",
acknowledgement = ack-nhfb,
fjournal = "Linear Algebra and its Applications",
journal-URL = "http://www.sciencedirect.com/science/journal/00243795",
subject-dates = "Garrett Birkhoff (19 January 1911--22 November
1996)",
}
@Article{Casas:2007:PBW,
author = "Jos{\'e} Manuel Casas and Manuel A. Insua and Manuel
Ladra",
title = "{Poincar{\'e}--Birkhoff--Witt} theorem for {Leibniz}
$n$",
journal = j-J-SYMBOLIC-COMP,
volume = "42",
number = "11--12",
pages = "1052--1065",
month = nov # "\slash " # dec,
year = "2007",
CODEN = "JSYCEH",
ISSN = "0747-7171 (print), 1095-855X (electronic)",
ISSN-L = "0747-7171",
bibdate = "Wed Aug 25 20:13:18 MDT 2010",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/birkhoff-garrett.bib;
https://www.math.utah.edu/pub/tex/bib/jsymcomp.bib",
acknowledgement = ack-nhfb,
fjournal = "Journal of Symbolic Computation",
journal-URL = "http://www.sciencedirect.com/science/journal/07477171/",
subject-dates = "Garrett Birkhoff (19 January 1911--22 November
1996)",
}
@Article{Lawson:2007:BCF,
author = "Jimmie Lawson and Yongdo Lim",
title = "A {Birkhoff} Contraction Formula with Applications to
{Riccati} Equations",
journal = j-SIAM-J-CONTROL-OPTIM,
volume = "46",
number = "3",
pages = "930--951",
month = "????",
year = "2007",
CODEN = "SJCODC",
DOI = "https://doi.org/10.1137/050637637",
ISSN = "0363-0129 (print), 1095-7138 (electronic)",
ISSN-L = "0363-0129",
bibdate = "Sun Mar 30 13:35:13 MDT 2014",
bibsource = "http://epubs.siam.org/sam-bin/dbq/toclist/SICON/46/3;
https://www.math.utah.edu/pub/bibnet/authors/b/birkhoff-garrett.bib;
https://www.math.utah.edu/pub/tex/bib/siamjcontroloptim.bib",
acknowledgement = ack-nhfb,
fjournal = "SIAM Journal on Control and Optimization",
journal-URL = "http://epubs.siam.org/sicon",
journalabr = "SIAM J Control Optim",
onlinedate = "January 2007",
subject-dates = "Garrett Birkhoff (19 January 1911--22 November
1996)",
}
@Article{Lim:2007:HPM,
author = "Yongdo Lim",
title = "{Hilbert}'s projective metric on {Lorenz} cones and
{Birkhoff} formula for {Lorentzian} compressions",
journal = j-LINEAR-ALGEBRA-APPL,
volume = "423",
number = "2--3",
pages = "246--254",
day = "1",
month = jun,
year = "2007",
CODEN = "LAAPAW",
ISSN = "0024-3795 (print), 1873-1856 (electronic)",
ISSN-L = "0024-3795",
bibdate = "Wed Mar 30 14:19:26 MDT 2011",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/birkhoff-garrett.bib;
https://www.math.utah.edu/pub/tex/bib/linala2000.bib",
acknowledgement = ack-nhfb,
fjournal = "Linear Algebra and its Applications",
journal-URL = "http://www.sciencedirect.com/science/journal/00243795",
subject-dates = "Garrett Birkhoff (19 January 1911--22 November
1996)",
}
@Article{Costa:2008:DAB,
author = "Liliana Costa and C. M. da Fonseca and Enide Andrade
Martins",
title = "The diameter of the acyclic {Birkhoff} polytope",
journal = j-LINEAR-ALGEBRA-APPL,
volume = "428",
number = "7",
pages = "1524--1537",
day = "1",
month = apr,
year = "2008",
CODEN = "LAAPAW",
ISSN = "0024-3795 (print), 1873-1856 (electronic)",
ISSN-L = "0024-3795",
bibdate = "Wed Mar 30 14:19:56 MDT 2011",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/birkhoff-garrett.bib;
https://www.math.utah.edu/pub/tex/bib/linala2000.bib",
acknowledgement = ack-nhfb,
fjournal = "Linear Algebra and its Applications",
journal-URL = "http://www.sciencedirect.com/science/journal/00243795",
subject-dates = "Garrett Birkhoff (19 January 1911--22 November
1996)",
}
@Article{Finden:2008:ETU,
author = "W. F. Finden",
title = "An error term and uniqueness for {Hermite--Birkhoff}
interpolation involving only function values and\slash
or first derivative values",
journal = j-J-COMPUT-APPL-MATH,
volume = "212",
number = "1",
pages = "1--15",
day = "15",
month = feb,
year = "2008",
CODEN = "JCAMDI",
ISSN = "0377-0427 (print), 1879-1778 (electronic)",
ISSN-L = "0377-0427",
bibdate = "Sat Feb 25 13:13:21 MST 2017",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/birkhoff-garrett.bib;
https://www.math.utah.edu/pub/tex/bib/jcomputapplmath2005.bib",
URL = "http://www.sciencedirect.com/science/article/pii/S0377042706007072",
acknowledgement = ack-nhfb,
fjournal = "Journal of Computational and Applied Mathematics",
journal-URL = "http://www.sciencedirect.com/science/journal/03770427",
subject-dates = "Garrett Birkhoff (19 January 1911--22 November
1996)",
}
@Article{Guo:2008:DAB,
author = "Li Guo and Bin Zhang",
title = "Differential algebraic {Birkhoff} decomposition and
the renormalization of multiple zeta values",
journal = j-J-NUMBER-THEORY,
volume = "128",
number = "8",
pages = "2318--2339",
month = aug,
year = "2008",
CODEN = "JNUTA9",
DOI = "https://doi.org/10.1016/j.jnt.2007.10.005",
ISSN = "0022-314X (print), 1096-1658 (electronic)",
ISSN-L = "0022-314X",
bibdate = "Wed Jul 15 08:48:31 MDT 2020",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/birkhoff-garrett.bib;
https://www.math.utah.edu/pub/tex/bib/jnumbertheory2000.bib",
URL = "http://www.sciencedirect.com/science/article/pii/S0022314X07002144",
acknowledgement = ack-nhfb,
ajournal = "J. Number Theory",
fjournal = "Journal of Number Theory",
journal-URL = "http://www.sciencedirect.com/science/journal/0022314X",
subject-dates = "Garrett Birkhoff (19 January 1911--22 November
1996)",
}
@Article{Nguyen-Ba:2008:HBO,
author = "Truong Nguyen-Ba and Philip W. Sharp and R{\'e}mi
Vaillancourt",
title = "{Hermite--Birkhoff--Obrechkoff} four-stage four-step
{ODE} solver of order 14 with quantized step size",
journal = j-J-COMPUT-APPL-MATH,
volume = "222",
number = "2",
pages = "608--621",
day = "15",
month = dec,
year = "2008",
CODEN = "JCAMDI",
ISSN = "0377-0427 (print), 1879-1778 (electronic)",
ISSN-L = "0377-0427",
bibdate = "Sat Feb 25 13:13:28 MST 2017",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/birkhoff-garrett.bib;
https://www.math.utah.edu/pub/tex/bib/jcomputapplmath2005.bib",
URL = "http://www.sciencedirect.com/science/article/pii/S0377042707006358",
acknowledgement = ack-nhfb,
fjournal = "Journal of Computational and Applied Mathematics",
journal-URL = "http://www.sciencedirect.com/science/journal/03770427",
subject-dates = "Garrett Birkhoff (19 January 1911--22 November
1996)",
}
@Article{Shevchenko:2008:SCB,
author = "I. I. Shevchenko",
title = "Symbolic computation of the {Birkhoff} normal form in
the problem of stability of the triangular libration
points",
journal = j-COMP-PHYS-COMM,
volume = "178",
number = "9",
pages = "665--672",
day = "1",
month = may,
year = "2008",
CODEN = "CPHCBZ",
DOI = "https://doi.org/10.1016/j.cpc.2007.12.001",
ISSN = "0010-4655 (print), 1879-2944 (electronic)",
ISSN-L = "0010-4655",
bibdate = "Mon Feb 13 23:42:30 MST 2012",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/birkhoff-garrett.bib;
https://www.math.utah.edu/pub/tex/bib/compphyscomm2000.bib",
URL = "http://www.sciencedirect.com/science/article/pii/S0010465507004924",
acknowledgement = ack-nhfb,
fjournal = "Computer Physics Communications",
journal-URL = "http://www.sciencedirect.com/science/journal/00104655",
subject-dates = "Garrett Birkhoff (19 January 1911--22 November
1996)",
}
@Article{Simson:2008:ASB,
author = "Daniel Simson and Mariusz Wojew{\'o}dzki",
title = "An Algorithmic Solution of a {Birkhoff} Type Problem",
journal = j-FUND-INFO,
volume = "83",
number = "4",
pages = "389--410",
month = dec,
year = "2008",
CODEN = "FUMAAJ",
ISSN = "0169-2968 (print), 1875-8681 (electronic)",
ISSN-L = "0169-2968",
bibdate = "Sat Mar 5 17:06:51 MST 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/birkhoff-garrett.bib;
https://www.math.utah.edu/pub/tex/bib/fundinfo2000.bib",
acknowledgement = ack-nhfb,
fjournal = "Fundamenta Informaticae",
journal-URL = "http://content.iospress.com/journals/fundamenta-informaticae",
subject-dates = "Garrett Birkhoff (19 January 1911--22 November
1996)",
}
@Article{Costa:2009:FCA,
author = "Liliana Costa and C. M. da Fonseca and Enide Andrade
Martins",
title = "Face counting on an {Acyclic Birkhoff} polytope",
journal = j-LINEAR-ALGEBRA-APPL,
volume = "430",
number = "4",
pages = "1216--1235",
day = "1",
month = feb,
year = "2009",
CODEN = "LAAPAW",
ISSN = "0024-3795 (print), 1873-1856 (electronic)",
ISSN-L = "0024-3795",
bibdate = "Wed Mar 30 14:20:31 MDT 2011",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/birkhoff-garrett.bib;
https://www.math.utah.edu/pub/tex/bib/linala2000.bib",
acknowledgement = ack-nhfb,
fjournal = "Linear Algebra and its Applications",
journal-URL = "http://www.sciencedirect.com/science/journal/00243795",
subject-dates = "Garrett Birkhoff (19 January 1911--22 November
1996)",
}
@Article{Nguyen-Ba:2009:OSS,
author = "Truong Nguyen-Ba and Han Hao and Hemza Yagoub and
R{\'e}mi Vaillancourt",
title = "One-step 5-stage {Hermite--Birkhoff--Taylor ODE}
solver of order 12",
journal = j-APPL-MATH-COMP,
volume = "211",
number = "2",
pages = "313--328",
day = "15",
month = may,
year = "2009",
CODEN = "AMHCBQ",
DOI = "https://doi.org/10.1016/j.amc.2009.01.043",
ISSN = "0096-3003 (print), 1873-5649 (electronic)",
ISSN-L = "0096-3003",
bibdate = "Fri Sep 3 10:53:24 MDT 2010",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/birkhoff-garrett.bib;
https://www.math.utah.edu/pub/tex/bib/applmathcomput2005.bib",
URL = "http://www.sciencedirect.com/science/article/pii/S0096300309000770",
acknowledgement = ack-nhfb,
fjournal = "Applied Mathematics and Computation",
journal-URL = "http://www.sciencedirect.com/science/journal/00963003/",
subject-dates = "Garrett Birkhoff (19 January 1911--22 November
1996)",
}
@Article{Wang:2009:NBM,
author = "Xiaoying Wang and Shugong Zhang and Tian Dong",
title = "{Newton} basis for multivariate {Birkhoff}
interpolation",
journal = j-J-COMPUT-APPL-MATH,
volume = "228",
number = "1",
pages = "466--479",
day = "1",
month = jun,
year = "2009",
CODEN = "JCAMDI",
ISSN = "0377-0427 (print), 1879-1778 (electronic)",
ISSN-L = "0377-0427",
bibdate = "Sat Feb 25 13:13:32 MST 2017",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/birkhoff-garrett.bib;
https://www.math.utah.edu/pub/tex/bib/jcomputapplmath2005.bib",
URL = "http://www.sciencedirect.com/science/article/pii/S0377042708005128",
acknowledgement = ack-nhfb,
fjournal = "Journal of Computational and Applied Mathematics",
journal-URL = "http://www.sciencedirect.com/science/journal/03770427",
subject-dates = "Garrett Birkhoff (19 January 1911--22 November
1996)",
}
@Article{Bozic:2010:TSV,
author = "Vladan Bozic and Truong Nguyen-Ba and R{\'e}mi
Vaillancourt",
title = "A three-stage, {VSVO}, {Hermite--Birkhoff--Taylor},
{ODE} solver",
journal = j-APPL-MATH-COMP,
volume = "216",
number = "2",
pages = "598--610",
day = "15",
month = mar,
year = "2010",
CODEN = "AMHCBQ",
DOI = "https://doi.org/10.1016/j.amc.2010.01.082",
ISSN = "0096-3003 (print), 1873-5649 (electronic)",
ISSN-L = "0096-3003",
bibdate = "Fri Sep 3 10:53:26 MDT 2010",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/birkhoff-garrett.bib;
https://www.math.utah.edu/pub/tex/bib/applmathcomput2010.bib",
URL = "http://www.sciencedirect.com/science/article/pii/S0096300310001062",
acknowledgement = ack-nhfb,
fjournal = "Applied Mathematics and Computation",
journal-URL = "http://www.sciencedirect.com/science/journal/00963003/",
subject-dates = "Garrett Birkhoff (19 January 1911--22 November
1996)",
}
@Article{Costa:2010:FFT,
author = "Liliana Costa and Enide Andrade Martins",
title = "Faces of faces of the tridiagonal {Birkhoff}
polytope",
journal = j-LINEAR-ALGEBRA-APPL,
volume = "432",
number = "6",
pages = "1384--1404",
day = "1",
month = mar,
year = "2010",
CODEN = "LAAPAW",
ISSN = "0024-3795 (print), 1873-1856 (electronic)",
ISSN-L = "0024-3795",
bibdate = "Wed Mar 30 23:04:04 MDT 2011",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/birkhoff-garrett.bib;
https://www.math.utah.edu/pub/tex/bib/linala2010.bib",
acknowledgement = ack-nhfb,
fjournal = "Linear Algebra and its Applications",
journal-URL = "http://www.sciencedirect.com/science/journal/00243795/",
subject-dates = "Garrett Birkhoff (19 January 1911--22 November
1996)",
}
@Article{Faou:2010:BNFa,
author = "Erwan Faou and Beno{\^\i}t Gr{\'e}bert and Eric
Paturel",
title = "{Birkhoff} normal form for splitting methods applied
to semilinear {Hamiltonian PDEs}. {Part I}.
{Finite}-dimensional discretization",
journal = j-NUM-MATH,
volume = "114",
number = "3",
pages = "429--458",
month = jan,
year = "2010",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
ISSN-L = "0029-599X",
bibdate = "Fri May 14 08:10:17 MDT 2010",
bibsource = "http://springerlink.metapress.com/openurl.asp?genre=issue&issn=0029-599X&volume=114&issue=3;
https://www.math.utah.edu/pub/bibnet/authors/b/birkhoff-garrett.bib;
https://www.math.utah.edu/pub/tex/bib/nummath2010.bib",
URL = "http://www.springerlink.com/openurl.asp?genre=article&issn=0029-599X&volume=114&issue=3&spage=429",
acknowledgement = ack-nhfb,
fjournal = "Numerische Mathematik",
journal-URL = "http://link.springer.com/journal/211",
subject-dates = "Garrett Birkhoff (19 January 1911--22 November
1996)",
}
@Article{Faou:2010:BNFb,
author = "Erwan Faou and Beno{\^\i}t Gr{\'e}bert and Eric
Paturel",
title = "{Birkhoff} normal form for splitting methods applied
to semilinear {Hamiltonian PDEs}. {Part II}. {Abstract}
splitting",
journal = j-NUM-MATH,
volume = "114",
number = "3",
pages = "459--490",
month = jan,
year = "2010",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
ISSN-L = "0029-599X",
bibdate = "Fri May 14 08:10:17 MDT 2010",
bibsource = "http://springerlink.metapress.com/openurl.asp?genre=issue&issn=0029-599X&volume=114&issue=3;
https://www.math.utah.edu/pub/bibnet/authors/b/birkhoff-garrett.bib;
https://www.math.utah.edu/pub/tex/bib/nummath2010.bib",
URL = "http://www.springerlink.com/openurl.asp?genre=article&issn=0029-599X&volume=114&issue=3&spage=459",
acknowledgement = ack-nhfb,
fjournal = "Numerische Mathematik",
journal-URL = "http://link.springer.com/journal/211",
subject-dates = "Garrett Birkhoff (19 January 1911--22 November
1996)",
}
@Article{Ganikhodzhaev:2010:DSQ,
author = "Rasul Ganikhodzhaev and Farruh Shahidi",
title = "Doubly stochastic quadratic operators and {Birkhoff}'s
problem",
journal = j-LINEAR-ALGEBRA-APPL,
volume = "432",
number = "1",
pages = "24--35",
day = "1",
month = jan,
year = "2010",
CODEN = "LAAPAW",
ISSN = "0024-3795 (print), 1873-1856 (electronic)",
ISSN-L = "0024-3795",
bibdate = "Wed Mar 30 23:04:01 MDT 2011",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/birkhoff-garrett.bib;
https://www.math.utah.edu/pub/tex/bib/linala2010.bib",
acknowledgement = ack-nhfb,
fjournal = "Linear Algebra and its Applications",
journal-URL = "http://www.sciencedirect.com/science/journal/00243795/",
subject-dates = "Garrett Birkhoff (19 January 1911--22 November
1996)",
}
@Article{Nguyen-Ba:2010:OSS,
author = "Truong Nguyen-Ba and Vladan Bozic and Emmanuel Kengne
and R{\'e}mi Vaillancourt",
title = "A one-step $7$-stage {Hermite--Birkhoff--Taylor ODE}
solver of order $ 11$",
journal = j-J-COMPUT-APPL-MATH,
volume = "234",
number = "1",
pages = "192--208",
day = "1",
month = may,
year = "2010",
CODEN = "JCAMDI",
ISSN = "0377-0427 (print), 1879-1778 (electronic)",
ISSN-L = "0377-0427",
bibdate = "Sat Feb 25 13:24:22 MST 2017",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/birkhoff-garrett.bib;
https://www.math.utah.edu/pub/tex/bib/jcomputapplmath2010.bib",
URL = "http://www.sciencedirect.com/science/article/pii/S0377042709008231",
acknowledgement = ack-nhfb,
fjournal = "Journal of Computational and Applied Mathematics",
journal-URL = "http://www.sciencedirect.com/science/journal/03770427",
subject-dates = "Garrett Birkhoff (19 January 1911--22 November
1996)",
}
@Article{Schleich:2010:SPB,
author = "Kristin Schleich and Donald M. Witt",
title = "A simple proof of {Birkhoff}'s theorem for
cosmological constant",
journal = j-J-MATH-PHYS,
volume = "51",
number = "11",
pages = "112502:1--112502:9",
month = nov,
year = "2010",
CODEN = "JMAPAQ",
DOI = "https://doi.org/10.1063/1.3503447",
ISSN = "0022-2488 (print), 1089-7658 (electronic), 1527-2427",
ISSN-L = "0022-2488",
bibdate = "Thu Oct 27 09:16:49 MDT 2011",
bibsource = "http://www.aip.org/ojs/jmp.html;
https://www.math.utah.edu/pub/bibnet/authors/b/birkhoff-garrett.bib;
https://www.math.utah.edu/pub/tex/bib/jmathphys2010.bib",
URL = "http://jmp.aip.org/resource/1/jmapaq/v51/i11/p112502_s1",
acknowledgement = ack-nhfb,
fjournal = "Journal of Mathematical Physics",
journal-URL = "http://jmp.aip.org/",
onlinedate = "24 November 2010",
pagecount = "9",
subject-dates = "Garrett Birkhoff (19 January 1911--22 November
1996)",
}
@Article{Butcher:2011:PAB,
author = "John C. Butcher and Robert M. Corless and Laureano
Gonzalez-Vega and Azar Shakoori",
title = "Polynomial algebra for {Birkhoff} interpolants",
journal = j-NUMER-ALGORITHMS,
volume = "56",
number = "3",
pages = "319--347",
month = mar,
year = "2011",
CODEN = "NUALEG",
ISSN = "1017-1398 (print), 1572-9265 (electronic)",
ISSN-L = "1017-1398",
bibdate = "Wed Mar 16 09:58:49 MDT 2011",
bibsource = "http://springerlink.metapress.com/openurl.asp?genre=issue&issn=1017-1398&volume=56&issue=3;
https://www.math.utah.edu/pub/bibnet/authors/b/birkhoff-garrett.bib;
https://www.math.utah.edu/pub/tex/bib/numeralgorithms.bib",
URL = "http://www.springerlink.com/openurl.asp?genre=article&issn=1017-1398&volume=56&issue=3&spage=319",
acknowledgement = ack-nhfb,
fjournal = "Numerical Algorithms",
journal-URL = "http://link.springer.com/journal/11075",
subject-dates = "Garrett Birkhoff (19 January 1911--22 November
1996)",
}
@Article{Chai:2011:PIS,
author = "Junjie Chai and Na Lei and Ying Li and Peng Xia",
title = "The proper interpolation space for multivariate
{Birkhoff} interpolation",
journal = j-J-COMPUT-APPL-MATH,
volume = "235",
number = "10",
pages = "3207--3214",
day = "15",
month = mar,
year = "2011",
CODEN = "JCAMDI",
ISSN = "0377-0427 (print), 1879-1778 (electronic)",
ISSN-L = "0377-0427",
bibdate = "Sat Feb 25 13:24:27 MST 2017",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/birkhoff-garrett.bib;
https://www.math.utah.edu/pub/tex/bib/jcomputapplmath2010.bib",
URL = "http://www.sciencedirect.com/science/article/pii/S0377042711000070",
acknowledgement = ack-nhfb,
fjournal = "Journal of Computational and Applied Mathematics",
journal-URL = "http://www.sciencedirect.com/science/journal/03770427",
subject-dates = "Garrett Birkhoff (19 January 1911--22 November
1996)",
}
@Article{Chorianopoulos:2011:BJA,
author = "Christos Chorianopoulos and Panayiotis Psarrakos",
title = "{Birkhoff--James} approximate orthogonality sets and
numerical ranges",
journal = j-LINEAR-ALGEBRA-APPL,
volume = "434",
number = "9",
pages = "2089--2108",
day = "1",
month = may,
year = "2011",
CODEN = "LAAPAW",
ISSN = "0024-3795 (print), 1873-1856 (electronic)",
ISSN-L = "0024-3795",
bibdate = "Wed Mar 30 23:04:16 MDT 2011",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/birkhoff-garrett.bib;
https://www.math.utah.edu/pub/tex/bib/linala2010.bib",
acknowledgement = ack-nhfb,
fjournal = "Linear Algebra and its Applications",
journal-URL = "http://www.sciencedirect.com/science/journal/00243795/",
subject-dates = "Garrett Birkhoff (19 January 1911--22 November
1996)",
}
@Article{Lei:2011:FAM,
author = "Na Lei and Junjie Chai and Peng Xia and Ying Li",
title = "A fast algorithm for the multivariate {Birkhoff}
interpolation problem",
journal = j-J-COMPUT-APPL-MATH,
volume = "236",
number = "6",
pages = "1656--1666",
day = "15",
month = oct,
year = "2011",
CODEN = "JCAMDI",
ISSN = "0377-0427 (print), 1879-1778 (electronic)",
ISSN-L = "0377-0427",
bibdate = "Sat Feb 25 13:24:38 MST 2017",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/birkhoff-garrett.bib;
https://www.math.utah.edu/pub/tex/bib/jcomputapplmath2010.bib",
URL = "http://www.sciencedirect.com/science/article/pii/S0377042711005073",
acknowledgement = ack-nhfb,
fjournal = "Journal of Computational and Applied Mathematics",
journal-URL = "http://www.sciencedirect.com/science/journal/03770427",
subject-dates = "Garrett Birkhoff (19 January 1911--22 November
1996)",
}
@Article{Milovanovic:2011:GBY,
author = "Gradimir V. Milovanovi{\'c} and Aleksandar S.
Cvetkovi{\'c} and Marija P. Stani{\'c}",
title = "A generalized {Birkhoff--Young--Chebyshev} quadrature
formula for analytic functions",
journal = j-APPL-MATH-COMP,
volume = "218",
number = "3",
pages = "944--948",
day = "1",
month = oct,
year = "2011",
CODEN = "AMHCBQ",
DOI = "https://doi.org/10.1016/j.amc.2011.02.007",
ISSN = "0096-3003 (print), 1873-5649 (electronic)",
ISSN-L = "0096-3003",
bibdate = "Tue Oct 25 09:02:50 MDT 2011",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/birkhoff-garrett.bib;
https://www.math.utah.edu/pub/tex/bib/applmathcomput2010.bib",
note = "Special Issue in Honour of Hari M. Srivastava on his
70th birth anniversary.",
URL = "http://www.sciencedirect.com/science/article/pii/S0096300311001652",
acknowledgement = ack-nhfb,
fjournal = "Applied Mathematics and Computation",
journal-URL = "http://www.sciencedirect.com/science/journal/00963003/",
subject-dates = "Garrett Birkhoff (19 January 1911--22 November
1996)",
}
@Article{Nguyen-Ba:2011:SSP,
author = "Truong Nguyen-Ba and Huong Nguyen-Thu and Thierry
Giordano and R{\'e}mi Vaillancourt",
title = "Strong-stability-preserving $3$-stage
{Hermite--Birkhoff time}-discretization methods",
journal = j-APPL-NUM-MATH,
volume = "61",
number = "4",
pages = "487--500",
month = apr,
year = "2011",
CODEN = "ANMAEL",
ISSN = "0168-9274 (print), 1873-5460 (electronic)",
ISSN-L = "0168-9274",
bibdate = "Wed Mar 30 08:57:18 MDT 2011",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/birkhoff-garrett.bib;
https://www.math.utah.edu/pub/tex/bib/applnummath.bib",
acknowledgement = ack-nhfb,
fjournal = "Applied Numerical Mathematics: Transactions of IMACS",
journal-URL = "http://www.sciencedirect.com/science/journal/01689274/",
subject-dates = "Garrett Birkhoff (19 January 1911--22 November
1996)",
}
@Article{Roque:2011:STP,
author = "Tatiana Roque",
title = "Stability of trajectories from {Poincar}{\'e} to
{Birkhoff}: approaching a qualitative definition",
journal = j-ARCH-HIST-EXACT-SCI,
volume = "65",
number = "3",
pages = "295--342",
month = may,
year = "2011",
CODEN = "AHESAN",
ISSN = "0003-9519 (print), 1432-0657 (electronic)",
ISSN-L = "0003-9519",
bibdate = "Tue Jul 5 16:56:45 MDT 2011",
bibsource = "http://springerlink.metapress.com/openurl.asp?genre=issue&issn=????&volume=65&issue=3;
https://www.math.utah.edu/pub/bibnet/authors/b/birkhoff-garrett.bib;
https://www.math.utah.edu/pub/tex/bib/archhistexactsci.bib",
URL = "http://www.springerlink.com/openurl.asp?genre=article&issn=????&volume=65&issue=3&spage=295",
acknowledgement = ack-nhfb,
fjournal = "Archive for History of Exact Sciences",
journal-URL = "http://link.springer.com/journal/407",
subject-dates = "Garrett Birkhoff (19 January 1911--22 November
1996)",
}
@Article{Schlimm:2011:CRA,
author = "Dirk Schlimm",
title = "On the creative role of axiomatics. {The} discovery of
lattices by {Schr{\"o}der}, {Dedekind}, {Birkhoff}, and
others",
journal = j-SYNTHESE,
volume = "183",
number = "1",
pages = "47--68",
month = nov,
year = "2011",
CODEN = "SYNTAE",
DOI = "https://doi.org/10.1007/s11229-009-9667-9",
ISSN = "0039-7857 (print), 1573-0964 (electronic)",
ISSN-L = "0039-7857",
bibdate = "Mon Sep 25 14:19:10 MDT 2017",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/birkhoff-garrett.bib;
https://www.math.utah.edu/pub/tex/bib/synthese2010.bib",
URL = "http://link.springer.com/article/10.1007/s11229-009-9667-9;
http://link.springer.com/content/pdf/10.1007/s11229-009-9667-9.pdf",
acknowledgement = ack-nhfb,
fjournal = "Synthese",
journal-URL = "http://link.springer.com/journal/11229",
subject-dates = "Garrett Birkhoff (19 January 1911--22 November
1996)",
}
@Article{Yagoub:2011:VSV,
author = "Hemza Yagoub and Truong Nguyen-Ba and R{\'e}mi
Vaillancourt",
title = "Variable-step variable-order $3$-stage
{Hermite--Birkhoff--Obrechkoff DDE} solver of order $4$
to $ 14$",
journal = j-APPL-MATH-COMP,
volume = "217",
number = "24",
pages = "10247--10255",
day = "15",
month = aug,
year = "2011",
CODEN = "AMHCBQ",
DOI = "https://doi.org/10.1016/j.amc.2011.05.023",
ISSN = "0096-3003 (print), 1873-5649 (electronic)",
ISSN-L = "0096-3003",
bibdate = "Tue Oct 25 12:05:45 MDT 2011",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/birkhoff-garrett.bib;
https://www.math.utah.edu/pub/tex/bib/applmathcomput2010.bib",
URL = "http://www.sciencedirect.com/science/article/pii/S0096300311006783",
acknowledgement = ack-nhfb,
fjournal = "Applied Mathematics and Computation",
journal-URL = "http://www.sciencedirect.com/science/journal/00963003/",
subject-dates = "Garrett Birkhoff (19 January 1911--22 November
1996)",
}
@Article{Adcock:2012:HOR,
author = "Ben Adcock and Arieh Iserles and Syvert P.
N{\o}rsett",
title = "From high oscillation to rapid approximation {II}:
expansions in {Birkhoff} series",
journal = j-IMA-J-NUMER-ANAL,
volume = "32",
number = "1",
pages = "105--140",
month = jan,
year = "2012",
CODEN = "IJNADH",
DOI = "https://doi.org/10.1093/imanum/drq038",
ISSN = "0272-4979 (print), 1464-3642 (electronic)",
ISSN-L = "0272-4979",
bibdate = "Fri Jan 20 06:55:39 MST 2012",
bibsource = "http://imanum.oxfordjournals.org/content/32/1.toc;
https://www.math.utah.edu/pub/bibnet/authors/b/birkhoff-garrett.bib;
https://www.math.utah.edu/pub/tex/bib/imajnumeranal.bib",
URL = "http://imajna.oxfordjournals.org/content/32/1/105.full.pdf+html",
acknowledgement = ack-nhfb,
fjournal = "IMA Journal of Numerical Analysis",
journal-URL = "http://imajna.oxfordjournals.org/content/by/year",
onlinedate = "May 26, 2011",
subject-dates = "Garrett Birkhoff (19 January 1911--22 November
1996)",
}
@Article{Allasia:2012:MHB,
author = "Giampietro Allasia and Cesare Bracco",
title = "Multivariate {Hermite--Birkhoff} interpolation by a
class of cardinal basis functions",
journal = j-APPL-MATH-COMP,
volume = "218",
number = "18",
pages = "9248--9260",
day = "15",
month = may,
year = "2012",
CODEN = "AMHCBQ",
DOI = "https://doi.org/10.1016/j.amc.2012.03.002",
ISSN = "0096-3003 (print), 1873-5649 (electronic)",
ISSN-L = "0096-3003",
bibdate = "Wed Apr 18 14:52:18 MDT 2012",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/birkhoff-garrett.bib;
https://www.math.utah.edu/pub/tex/bib/applmathcomput2010.bib",
URL = "http://www.sciencedirect.com/science/article/pii/S0096300312002330",
acknowledgement = ack-nhfb,
fjournal = "Applied Mathematics and Computation",
journal-URL = "http://www.sciencedirect.com/science/journal/00963003/",
subject-dates = "Garrett Birkhoff (19 January 1911--22 November
1996)",
}
@Article{Arambasic:2012:BJO,
author = "Ljiljana Arambasi{\'c} and Rajna Raji{\'c}",
title = "The {Birkhoff--James} orthogonality in {Hilbert $ C^*
$}-modules",
journal = j-LINEAR-ALGEBRA-APPL,
volume = "437",
number = "7",
pages = "1913--1929",
day = "1",
month = oct,
year = "2012",
CODEN = "LAAPAW",
DOI = "https://doi.org/10.1016/j.laa.2012.05.011",
ISSN = "0024-3795 (print), 1873-1856 (electronic)",
ISSN-L = "0024-3795",
bibdate = "Fri Jul 13 12:53:39 MDT 2012",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/birkhoff-garrett.bib;
https://www.math.utah.edu/pub/tex/bib/linala2010.bib",
URL = "http://www.sciencedirect.com/science/article/pii/S0024379512003631",
acknowledgement = ack-nhfb,
fjournal = "Linear Algebra and its Applications",
journal-URL = "http://www.sciencedirect.com/science/journal/00243795/",
subject-dates = "Garrett Birkhoff (19 January 1911--22 November
1996)",
}
@Article{Nguyen-Ba:2012:SSP,
author = "Truong Nguyen-Ba and Huong Nguyen-Thu and Thierry
Giordano",
title = "Strong-Stability-Preserving $7$-Stage
{Hermite--Birkhoff} Time-Discretization Methods",
journal = j-J-SCI-COMPUT,
volume = "50",
number = "1",
pages = "63--90",
month = jan,
year = "2012",
CODEN = "JSCOEB",
DOI = "https://doi.org/10.1007/s10915-011-9473-7",
ISSN = "0885-7474 (print), 1573-7691 (electronic)",
ISSN-L = "0885-7474",
bibdate = "Sat Dec 22 13:07:56 MST 2012",
bibsource = "http://springerlink.metapress.com/openurl.asp?genre=issue&issn=0885-7474&volume=50&issue=1;
https://www.math.utah.edu/pub/bibnet/authors/b/birkhoff-garrett.bib;
https://www.math.utah.edu/pub/tex/bib/jscicomput.bib",
URL = "http://link.springer.com/article/10.1007/s10915-011-9473-7;
http://link.springer.com/content/pdf/10.1007/s10915-011-9473-7;
http://www.springerlink.com/openurl.asp?genre=article&issn=0885-7474&volume=50&issue=1&spage=63-90",
acknowledgement = ack-nhfb,
fjournal = "Journal of Scientific Computing",
journal-URL = "http://link.springer.com/journal/10915",
subject-dates = "Garrett Birkhoff (19 January 1911--22 November
1996)",
}
@Article{Sun:2012:GBR,
author = "Hui Sun and David Uminsky and Andrea L. Bertozzi",
title = "A Generalized {Birkhoff--Rott} Equation for
Two-dimensional Active Scalar Problems",
journal = j-SIAM-J-APPL-MATH,
volume = "72",
number = "1",
pages = "382--404",
month = "????",
year = "2012",
CODEN = "SMJMAP",
DOI = "https://doi.org/10.1137/110819883",
ISSN = "0036-1399 (print), 1095-712X (electronic)",
ISSN-L = "0036-1399",
bibdate = "Tue Oct 30 15:07:40 MDT 2012",
bibsource = "http://epubs.siam.org/toc/smjmap/72/1;
https://www.math.utah.edu/pub/bibnet/authors/b/birkhoff-garrett.bib;
https://www.math.utah.edu/pub/tex/bib/siamjapplmath2010.bib",
acknowledgement = ack-nhfb,
fjournal = "SIAM Journal on Applied Mathematics",
journal-URL = "http://epubs.siam.org/siap",
onlinedate = "January 2012",
subject-dates = "Garrett Birkhoff (19 January 1911--22 November
1996)",
}
@Article{Chorianopoulos:2013:CBJ,
author = "Christos Chorianopoulos and Panayiotis J. Psarrakos",
title = "On the continuity of {Birkhoff--James}-orthogonality
sets",
journal = j-LIN-MULT-ALGEBRA,
volume = "61",
number = "11",
pages = "1447--1454",
year = "2013",
CODEN = "LNMLAZ",
DOI = "https://doi.org/10.1080/03081087.2012.743024",
ISSN = "0308-1087 (print), 1563-5139 (electronic)",
ISSN-L = "0308-1087",
bibdate = "Tue Sep 20 15:14:02 MDT 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/birkhoff-garrett.bib;
https://www.math.utah.edu/pub/tex/bib/linmultalgebra.bib",
acknowledgement = ack-nhfb,
fjournal = "Linear Multilinear Algebra",
journal-URL = "http://www.tandfonline.com/loi/glma20",
onlinedate = "11 Dec 2012",
subject-dates = "Garrett Birkhoff (19 January 1911--22 November
1996)",
}
@Article{Dehghan:2013:TNS,
author = "Mehdi Dehghan and S. Aryanmehr and M. R. Eslahchi",
title = "A technique for the numerical solution of
initial-value problems based on a class of
{Birkhoff}-type interpolation method",
journal = j-J-COMPUT-APPL-MATH,
volume = "244",
number = "??",
pages = "125--139",
day = "15",
month = may,
year = "2013",
CODEN = "JCAMDI",
ISSN = "0377-0427 (print), 1879-1778 (electronic)",
ISSN-L = "0377-0427",
bibdate = "Sat Feb 25 13:26:16 MST 2017",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/birkhoff-garrett.bib;
https://www.math.utah.edu/pub/tex/bib/jcomputapplmath2010.bib",
URL = "http://www.sciencedirect.com/science/article/pii/S0377042712005067",
acknowledgement = ack-nhfb,
fjournal = "Journal of Computational and Applied Mathematics",
journal-URL = "http://www.sciencedirect.com/science/journal/03770427",
subject-dates = "Garrett Birkhoff (19 January 1911--22 November
1996)",
}
@Article{Kong:2013:VIF,
author = "Xinlei Kong and Huibin Wu and Fengxiang Mei",
title = "Variational integrators for forced {Birkhoffian}
systems",
journal = j-APPL-MATH-COMP,
volume = "225",
number = "??",
pages = "326--332",
day = "1",
month = dec,
year = "2013",
CODEN = "AMHCBQ",
ISSN = "0096-3003 (print), 1873-5649 (electronic)",
ISSN-L = "0096-3003",
bibdate = "Mon Dec 2 12:35:00 MST 2013",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/birkhoff-garrett.bib;
https://www.math.utah.edu/pub/tex/bib/applmathcomput2010.bib",
URL = "http://www.sciencedirect.com/science/article/pii/S0096300313010242",
acknowledgement = ack-nhfb,
fjournal = "Applied Mathematics and Computation",
journal-URL = "http://www.sciencedirect.com/science/journal/00963003/",
subject-dates = "Garrett Birkhoff (19 January 1911--22 November
1996)",
}
@Article{Liu:2013:LSP,
author = "Junli Liu and Shilin Yang",
title = "{Lusztig} symmetries and
{Poincar{\'e}--Birkhoff--Witt} basis for {$ w U^d_{r,
s}({\rm osp}(1 | 2 n)) $}",
journal = j-J-MATH-PHYS,
volume = "54",
number = "12",
pages = "121704",
month = dec,
year = "2013",
CODEN = "JMAPAQ",
DOI = "https://doi.org/10.1063/1.4852355",
ISSN = "0022-2488 (print), 1089-7658 (electronic), 1527-2427",
ISSN-L = "0022-2488",
bibdate = "Wed Feb 12 11:30:09 MST 2014",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/birkhoff-garrett.bib;
https://www.math.utah.edu/pub/tex/bib/jmathphys2010.bib",
acknowledgement = ack-nhfb,
fjournal = "Journal of Mathematical Physics",
journal-URL = "http://jmp.aip.org/",
subject-dates = "Garrett Birkhoff (19 January 1911--22 November
1996)",
}
@Article{Abreu:2014:SAB,
author = "Nair Abreu and Liliana Costa and Geir Dahl and Enide
Martins",
title = "The skeleton of acyclic {Birkhoff} polytopes",
journal = j-LINEAR-ALGEBRA-APPL,
volume = "457",
number = "??",
pages = "29--48",
day = "15",
month = sep,
year = "2014",
CODEN = "LAAPAW",
ISSN = "0024-3795 (print), 1873-1856 (electronic)",
ISSN-L = "0024-3795",
bibdate = "Mon Aug 11 10:41:15 MDT 2014",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/birkhoff-garrett.bib;
https://www.math.utah.edu/pub/tex/bib/linala2010.bib",
URL = "http://www.sciencedirect.com/science/article/pii/S0024379514003127",
acknowledgement = ack-nhfb,
fjournal = "Linear Algebra and its Applications",
journal-URL = "http://www.sciencedirect.com/science/journal/00243795/",
subject-dates = "Garrett Birkhoff (19 January 1911--22 November
1996)",
}
@Article{Cui:2014:BNT,
author = "Lu-Bin Cui and Wen Li and Michael K. Ng",
title = "{Birkhoff--von Neumann} Theorem for Multistochastic
Tensors",
journal = j-SIAM-J-MAT-ANA-APPL,
volume = "35",
number = "3",
pages = "956--973",
month = "????",
year = "2014",
CODEN = "SJMAEL",
DOI = "https://doi.org/10.1137/120896499",
ISSN = "0895-4798 (print), 1095-7162 (electronic)",
ISSN-L = "0895-4798",
bibdate = "Sat Sep 13 12:06:59 MDT 2014",
bibsource = "http://epubs.siam.org/sam-bin/dbq/toc/SIMAX/35/3;
https://www.math.utah.edu/pub/bibnet/authors/b/birkhoff-garrett.bib;
https://www.math.utah.edu/pub/tex/bib/siamjmatanaappl.bib",
acknowledgement = ack-nhfb,
fjournal = "SIAM Journal on Matrix Analysis and Applications",
journal-URL = "http://epubs.siam.org/simax",
onlinedate = "January 2014",
subject-dates = "Garrett Birkhoff (19 January 1911--22 November
1996)",
}
@Article{Nguyen-Thu:2014:SSP,
author = "Huong Nguyen-Thu and Truong Nguyen-Ba and R{\'e}mi
Vaillancourt",
title = "Strong-stability-preserving, {Hermite--Birkhoff}
time-discretization based on $k$ step methods and
8-stage explicit {Runge--Kutta} methods of order 5 and
4",
journal = j-J-COMPUT-APPL-MATH,
volume = "263",
number = "??",
pages = "45--58",
month = jun,
year = "2014",
CODEN = "JCAMDI",
DOI = "https://doi.org/10.1016/j.cam.2013.11.013",
ISSN = "0377-0427 (print), 1879-1778 (electronic)",
ISSN-L = "0377-0427",
MRclass = "65L06 (65L20 65M20)",
MRnumber = "3162335",
MRreviewer = "S. Hitotumatu",
bibdate = "Sat Feb 25 13:34:43 MST 2017",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/birkhoff-garrett.bib;
https://www.math.utah.edu/pub/tex/bib/jcomputapplmath2010.bib",
URL = "http://www.sciencedirect.com/science/article/pii/S0377042713006328",
acknowledgement = ack-nhfb,
fjournal = "Journal of Computational and Applied Mathematics",
journal-URL = "http://www.sciencedirect.com/science/journal/03770427",
subject-dates = "Garrett Birkhoff (19 January 1911--22 November
1996)",
xxtitle = "Strong-stability-preserving, {Hermite--Birkhoff}
time-discretization based on {[??IMAGE??]} step methods
and $8$-stage explicit {Runge--Kutta} methods of order
5 and 4",
}
@Article{Arambasic:2015:OPS,
author = "Ljiljana Arambasi{\'c} and Rajna Raji{\'c}",
title = "Operators preserving the strong {Birkhoff--James}
orthogonality on {$ B(H) $}",
journal = j-LINEAR-ALGEBRA-APPL,
volume = "471",
number = "??",
pages = "394--404",
day = "15",
month = apr,
year = "2015",
CODEN = "LAAPAW",
ISSN = "0024-3795 (print), 1873-1856 (electronic)",
ISSN-L = "0024-3795",
bibdate = "Mon Feb 23 09:15:47 MST 2015",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/birkhoff-garrett.bib;
https://www.math.utah.edu/pub/tex/bib/linala2015.bib",
URL = "http://www.sciencedirect.com/science/article/pii/S0024379515000403",
acknowledgement = ack-nhfb,
fjournal = "Linear Algebra and its Applications",
journal-URL = "http://www.sciencedirect.com/science/journal/00243795/",
subject-dates = "Garrett Birkhoff (19 January 1911--22 November
1996)",
}
@Article{Cui:2015:SMB,
author = "Kai Cui and Na Lei",
title = "Stable monomial basis for multivariate {Birkhoff}
interpolation problems",
journal = j-J-COMPUT-APPL-MATH,
volume = "277",
number = "??",
pages = "162--170",
day = "15",
month = mar,
year = "2015",
CODEN = "JCAMDI",
ISSN = "0377-0427 (print), 1879-1778 (electronic)",
ISSN-L = "0377-0427",
bibdate = "Sat Feb 25 13:34:48 MST 2017",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/birkhoff-garrett.bib;
https://www.math.utah.edu/pub/tex/bib/jcomputapplmath2015.bib",
URL = "http://www.sciencedirect.com/science/article/pii/S0377042714003914",
acknowledgement = ack-nhfb,
fjournal = "Journal of Computational and Applied Mathematics",
journal-URL = "http://www.sciencedirect.com/science/journal/03770427",
subject-dates = "Garrett Birkhoff (19 January 1911--22 November
1996)",
}
@Article{Fernandes:2015:CDV,
author = "Ros{\'a}rio Fernandes",
title = "Computing the degree of a vertex in the skeleton of
acyclic {Birkhoff} polytopes",
journal = j-LINEAR-ALGEBRA-APPL,
volume = "475",
number = "??",
pages = "119--133",
day = "15",
month = jun,
year = "2015",
CODEN = "LAAPAW",
ISSN = "0024-3795 (print), 1873-1856 (electronic)",
ISSN-L = "0024-3795",
bibdate = "Thu Apr 2 06:49:42 MDT 2015",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/birkhoff-garrett.bib;
https://www.math.utah.edu/pub/tex/bib/linala2015.bib",
URL = "http://www.sciencedirect.com/science/article/pii/S0024379515000877",
acknowledgement = ack-nhfb,
fjournal = "Linear Algebra and its Applications",
journal-URL = "http://www.sciencedirect.com/science/journal/00243795/",
subject-dates = "Garrett Birkhoff (19 January 1911--22 November
1996)",
}
@Article{Sain:2015:ONA,
author = "Debmalya Sain and Kallol Paul and Sourav Hait",
title = "Operator norm attainment and {Birkhoff--James}
orthogonality",
journal = j-LINEAR-ALGEBRA-APPL,
volume = "476",
number = "??",
pages = "85--97",
day = "1",
month = jul,
year = "2015",
CODEN = "LAAPAW",
ISSN = "0024-3795 (print), 1873-1856 (electronic)",
ISSN-L = "0024-3795",
bibdate = "Thu Apr 2 06:49:46 MDT 2015",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/birkhoff-garrett.bib;
https://www.math.utah.edu/pub/tex/bib/linala2015.bib",
URL = "http://www.sciencedirect.com/science/article/pii/S0024379515001469",
acknowledgement = ack-nhfb,
fjournal = "Linear Algebra and its Applications",
journal-URL = "http://www.sciencedirect.com/science/journal/00243795/",
subject-dates = "Garrett Birkhoff (19 January 1911--22 November
1996)",
}
@Article{Song:2015:NTB,
author = "Chuan-Jing Song and Yi Zhang",
title = "{Noether} theorem for {Birkhoffian} systems on time
scales",
journal = j-J-MATH-PHYS,
volume = "56",
number = "10",
pages = "102701",
month = oct,
year = "2015",
CODEN = "JMAPAQ",
DOI = "https://doi.org/10.1063/1.4932607",
ISSN = "0022-2488 (print), 1089-7658 (electronic), 1527-2427",
ISSN-L = "0022-2488",
bibdate = "Fri Nov 27 17:59:12 MST 2015",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/birkhoff-garrett.bib;
https://www.math.utah.edu/pub/tex/bib/jmathphys2015.bib",
acknowledgement = ack-nhfb,
fjournal = "Journal of Mathematical Physics",
journal-URL = "http://jmp.aip.org/",
subject-dates = "Garrett Birkhoff (19 January 1911--22 November
1996)",
}
@Article{Su:2015:SPN,
author = "Hongling Su and Shengtai Li",
title = "Structure-Preserving Numerical Methods for
Infinite-Dimensional {Birkhoffian} Systems",
journal = j-J-SCI-COMPUT,
volume = "65",
number = "1",
pages = "196--223",
month = oct,
year = "2015",
CODEN = "JSCOEB",
DOI = "https://doi.org/10.1007/s10915-014-9958-2",
ISSN = "0885-7474 (print), 1573-7691 (electronic)",
ISSN-L = "0885-7474",
bibdate = "Tue Sep 29 09:59:29 MDT 2015",
bibsource = "http://link.springer.com/journal/10915;
http://link.springer.com/journal/10915/65/1;
https://www.math.utah.edu/pub/bibnet/authors/b/birkhoff-garrett.bib;
https://www.math.utah.edu/pub/tex/bib/jscicomput.bib",
URL = "http://link.springer.com/article/10.1007/s10915-014-9958-2;
http://link.springer.com/content/pdf/10.1007/s10915-014-9958-2.pdf",
acknowledgement = ack-nhfb,
fjournal = "Journal of Scientific Computing",
journal-URL = "http://link.springer.com/journal/10915",
subject-dates = "Garrett Birkhoff (19 January 1911--22 November
1996)",
}
@Article{DellAccio:2016:CHB,
author = "F. Dell'Accio and F. {Di Tommaso}",
title = "Complete {Hermite--Birkhoff} interpolation on
scattered data by combined {Shepard} operators",
journal = j-J-COMPUT-APPL-MATH,
volume = "300",
number = "??",
pages = "192--206",
month = jul,
year = "2016",
CODEN = "JCAMDI",
ISSN = "0377-0427 (print), 1879-1778 (electronic)",
ISSN-L = "0377-0427",
bibdate = "Sat Feb 25 13:35:49 MST 2017",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/birkhoff-garrett.bib;
https://www.math.utah.edu/pub/tex/bib/jcomputapplmath2015.bib",
URL = "http://www.sciencedirect.com/science/article/pii/S0377042715006287",
acknowledgement = ack-nhfb,
fjournal = "Journal of Computational and Applied Mathematics",
journal-URL = "http://www.sciencedirect.com/science/journal/03770427",
subject-dates = "Garrett Birkhoff (19 January 1911--22 November
1996)",
}
@Article{DeVos:2016:BTU,
author = "Alexis {De Vos} and Stijn {De Baerdemacker}",
title = "The {Birkhoff} theorem for unitary matrices of prime
dimension",
journal = j-LINEAR-ALGEBRA-APPL,
volume = "493",
number = "??",
pages = "455--468",
day = "15",
month = mar,
year = "2016",
CODEN = "LAAPAW",
ISSN = "0024-3795 (print), 1873-1856 (electronic)",
ISSN-L = "0024-3795",
bibdate = "Fri Feb 5 18:05:27 MST 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/birkhoff-garrett.bib;
https://www.math.utah.edu/pub/tex/bib/linala2015.bib",
URL = "http://www.sciencedirect.com/science/article/pii/S0024379515007156",
acknowledgement = ack-nhfb,
fjournal = "Linear Algebra and its Applications",
journal-URL = "http://www.sciencedirect.com/science/journal/00243795/",
subject-dates = "Garrett Birkhoff (19 January 1911--22 November
1996)",
}
@Article{Dufosse:2016:NBN,
author = "Fanny Dufoss{\'e} and Bora U{\c{c}}ar",
title = "Notes on {Birkhoff--von Neumann} decomposition of
doubly stochastic matrices",
journal = j-LINEAR-ALGEBRA-APPL,
volume = "497",
number = "??",
pages = "108--115",
day = "15",
month = may,
year = "2016",
CODEN = "LAAPAW",
ISSN = "0024-3795 (print), 1873-1856 (electronic)",
ISSN-L = "0024-3795",
bibdate = "Mon Mar 7 09:44:14 MST 2016",
bibsource = "????;
https://www.math.utah.edu/pub/bibnet/authors/b/birkhoff-garrett.bib;
https://www.math.utah.edu/pub/tex/bib/linala2015.bib",
URL = "http://www.sciencedirect.com/science/article/pii/S0024379516001257",
acknowledgement = ack-nhfb,
fjournal = "Linear Algebra and its Applications",
journal-URL = "http://www.sciencedirect.com/science/journal/00243795/",
subject-dates = "Garrett Birkhoff (19 January 1911--22 November
1996)",
}
@Article{Jiao:2016:WCF,
author = "Yujian Jiao and Li-Lian Wang and Can Huang",
title = "Well-conditioned fractional collocation methods using
fractional {Birkhoff} interpolation basis",
journal = j-J-COMPUT-PHYS,
volume = "305",
number = "??",
pages = "1--28",
day = "15",
month = jan,
year = "2016",
CODEN = "JCTPAH",
ISSN = "0021-9991 (print), 1090-2716 (electronic)",
ISSN-L = "0021-9991",
bibdate = "Thu Dec 10 16:14:28 MST 2015",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/birkhoff-garrett.bib;
https://www.math.utah.edu/pub/tex/bib/jcomputphys2015.bib",
URL = "http://www.sciencedirect.com/science/article/pii/S0021999115006932",
acknowledgement = ack-nhfb,
fjournal = "Journal of Computational Physics",
journal-URL = "http://www.sciencedirect.com/science/journal/00219991/",
subject-dates = "Garrett Birkhoff (19 January 1911--22 November
1996)",
}
@Article{Joji:2016:SRA,
author = "Du ko Joji",
title = "Some remarks about acyclic and tridiagonal {Birkhoff}
polytopes",
journal = j-LINEAR-ALGEBRA-APPL,
volume = "495",
number = "??",
pages = "108--121",
day = "15",
month = apr,
year = "2016",
CODEN = "LAAPAW",
ISSN = "0024-3795 (print), 1873-1856 (electronic)",
ISSN-L = "0024-3795",
bibdate = "Thu Feb 25 06:03:18 MST 2016",
bibsource = "????;
https://www.math.utah.edu/pub/bibnet/authors/b/birkhoff-garrett.bib;
https://www.math.utah.edu/pub/tex/bib/linala2015.bib",
URL = "http://www.sciencedirect.com/science/article/pii/S0024379516000501",
acknowledgement = ack-nhfb,
fjournal = "Linear Algebra and its Applications",
journal-URL = "http://www.sciencedirect.com/science/journal/00243795/",
subject-dates = "Garrett Birkhoff (19 January 1911--22 November
1996)",
}
@Article{Nguyen-Ba:2016:VSH,
author = "Truong Nguyen-Ba",
title = "On variable step {Hermite--Birkhoff} solvers combining
multistep and $4$-stage {DIRK} methods for stiff
{ODEs}",
journal = j-NUMER-ALGORITHMS,
volume = "71",
number = "4",
pages = "855--888",
month = apr,
year = "2016",
CODEN = "NUALEG",
DOI = "https://doi.org/10.1007/s11075-015-0027-1",
ISSN = "1017-1398 (print), 1572-9265 (electronic)",
ISSN-L = "1017-1398",
bibdate = "Thu Apr 7 12:13:13 MDT 2016",
bibsource = "http://link.springer.com/journal/11075/71/4;
https://www.math.utah.edu/pub/bibnet/authors/b/birkhoff-garrett.bib;
https://www.math.utah.edu/pub/tex/bib/numeralgorithms.bib",
URL = "http://link.springer.com/article/10.1007/s11075-015-0027-1",
acknowledgement = ack-nhfb,
fjournal = "Numerical Algorithms",
journal-URL = "http://link.springer.com/journal/11075",
subject-dates = "Garrett Birkhoff (19 January 1911--22 November
1996)",
}
@Article{Paul:2016:BJO,
author = "K. Paul and D. Sain and P. Ghosh",
title = "{Birkhoff--James} orthogonality and smoothness of
bounded linear operators",
journal = j-LINEAR-ALGEBRA-APPL,
volume = "506",
number = "??",
pages = "551--563",
day = "1",
month = oct,
year = "2016",
CODEN = "LAAPAW",
ISSN = "0024-3795 (print), 1873-1856 (electronic)",
ISSN-L = "0024-3795",
bibdate = "Mon Aug 29 07:13:39 MDT 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/birkhoff-garrett.bib;
https://www.math.utah.edu/pub/tex/bib/linala2015.bib",
URL = "http://www.sciencedirect.com/science/article/pii/S0024379516302415",
acknowledgement = ack-nhfb,
fjournal = "Linear Algebra and its Applications",
journal-URL = "http://www.sciencedirect.com/science/journal/00243795/",
subject-dates = "Garrett Birkhoff (19 January 1911--22 November
1996)",
}
@Article{Su:2016:EDP,
author = "Hongling Su and Shengtai Li",
title = "Energy\slash dissipation-preserving {Birkhoffian}
multi-symplectic methods for {Maxwell}'s equations with
dissipation terms",
journal = j-J-COMPUT-PHYS,
volume = "311",
number = "??",
pages = "213--240",
day = "15",
month = apr,
year = "2016",
CODEN = "JCTPAH",
ISSN = "0021-9991 (print), 1090-2716 (electronic)",
ISSN-L = "0021-9991",
bibdate = "Tue Mar 8 07:54:45 MST 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/birkhoff-garrett.bib;
https://www.math.utah.edu/pub/tex/bib/jcomputphys2015.bib",
URL = "http://www.sciencedirect.com/science/article/pii/S0021999116000541",
acknowledgement = ack-nhfb,
fjournal = "Journal of Computational Physics",
journal-URL = "http://www.sciencedirect.com/science/journal/00219991/",
subject-dates = "Garrett Birkhoff (19 January 1911--22 November
1996)",
}
@Article{Costabile:2017:CBL,
author = "Francesco A. Costabile and Anna Napoli",
title = "A class of {Birkhoff--Lagrange}-collocation methods
for high order boundary value problems",
journal = j-APPL-NUM-MATH,
volume = "116",
number = "??",
pages = "129--140",
month = jun,
year = "2017",
CODEN = "ANMAEL",
ISSN = "0168-9274 (print), 1873-5460 (electronic)",
ISSN-L = "0168-9274",
bibdate = "Tue Mar 28 18:19:12 MDT 2017",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/birkhoff-garrett.bib;
https://www.math.utah.edu/pub/tex/bib/applnummath.bib",
URL = "http://www.sciencedirect.com/science/article/pii/S0168927416302392",
acknowledgement = ack-nhfb,
fjournal = "Applied Numerical Mathematics: Transactions of IMACS",
journal-URL = "http://www.sciencedirect.com/science/journal/01689274",
subject-dates = "Garrett Birkhoff (19 January 1911--22 November
1996)",
}
@Article{DeBaerdemacker:2017:BTU,
author = "Stijn {De Baerdemacker} and Alexis {De Vos} and Lin
Chen and Li Yu",
title = "The {Birkhoff} theorem for unitary matrices of
arbitrary dimensions",
journal = j-LINEAR-ALGEBRA-APPL,
volume = "514",
number = "??",
pages = "151--164",
day = "1",
month = feb,
year = "2017",
CODEN = "LAAPAW",
ISSN = "0024-3795 (print), 1873-1856 (electronic)",
ISSN-L = "0024-3795",
bibdate = "Tue Nov 22 15:28:01 MST 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/birkhoff-garrett.bib;
https://www.math.utah.edu/pub/tex/bib/linala2015.bib",
URL = "http://www.sciencedirect.com/science/article/pii/S0024379516305134",
acknowledgement = ack-nhfb,
fjournal = "Linear Algebra and its Applications",
journal-URL = "http://www.sciencedirect.com/science/journal/00243795/",
subject-dates = "Garrett Birkhoff (19 January 1911--22 November
1996)",
}
@Article{Gaina:2017:BSC,
author = "Daniel Gaina",
title = "{Birkhoff} style calculi for hybrid logics",
journal = j-FORM-ASP-COMPUT,
volume = "29",
number = "5",
pages = "805--832",
month = sep,
year = "2017",
CODEN = "FACME5",
DOI = "https://doi.org/10.1007/s00165-016-0414-y",
ISSN = "0934-5043 (print), 1433-299X (electronic)",
ISSN-L = "0934-5043",
bibdate = "Thu Nov 23 07:37:43 MST 2017",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/birkhoff-garrett.bib;
https://www.math.utah.edu/pub/tex/bib/formaspcomput.bib",
URL = "http://link.springer.com/article/10.1007/s00165-016-0414-y",
acknowledgement = ack-nhfb,
fjournal = "Formal Aspects of Computing",
journal-URL = "http://link.springer.com/journal/165",
subject-dates = "Garrett Birkhoff (19 January 1911--22 November
1996)",
}
@Article{Milovanovic:2017:GWB,
author = "Gradimir V. Milovanovi{\'c}",
title = "Generalized weighted {Birkhoff--Young} quadratures
with the maximal degree of exactness",
journal = j-APPL-NUM-MATH,
volume = "116",
number = "??",
pages = "238--255",
month = jun,
year = "2017",
CODEN = "ANMAEL",
ISSN = "0168-9274 (print), 1873-5460 (electronic)",
ISSN-L = "0168-9274",
bibdate = "Tue Mar 28 18:19:12 MDT 2017",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/birkhoff-garrett.bib;
https://www.math.utah.edu/pub/tex/bib/applnummath.bib",
URL = "http://www.sciencedirect.com/science/article/pii/S0168927416301064",
acknowledgement = ack-nhfb,
fjournal = "Applied Numerical Mathematics: Transactions of IMACS",
journal-URL = "http://www.sciencedirect.com/science/journal/01689274",
subject-dates = "Garrett Birkhoff (19 January 1911--22 November
1996)",
}
@Article{Moslehian:2017:COB,
author = "Mohammad Sal Moslehian and Ali Zamani",
title = "Characterizations of Operator {Birkhoff--James}
Orthogonality",
journal = j-CAN-MATH-BULL,
volume = "60",
number = "4",
pages = "816--829",
month = dec,
year = "2017",
CODEN = "CMBUA3",
DOI = "https://doi.org/10.4153/CMB-2017-004-5",
ISSN = "0008-4395 (print), 1496-4287 (electronic)",
ISSN-L = "0008-4395",
bibdate = "Sat Jan 13 15:26:56 MST 2018",
bibsource = "http://cms.math.ca/cmb/v60/n4;
https://www.math.utah.edu/pub/bibnet/authors/b/birkhoff-garrett.bib;
https://www.math.utah.edu/pub/tex/bib/canmathbull.bib",
abstract = "In this paper, we obtain some characterizations of the
(strong) Birkhoff--James orthogonality for elements of
Hilbert $ C^*$-modules and certain elements of $
\mathbb {B}(\mathscr {H})$. Moreover, we obtain a kind
of Pythagorean relation for bounded linear operators.
In addition, for $ T \in \mathbb {B}(\mathscr {H})$ we
prove that if the norm attaining set $ \mathbb {M}_T$
is a unit sphere of some finite dimensional subspace $
\mathscr {H}_0$ of $ \mathscr {H}$ and $ \| T
\|_{{{\mathscr {H}}_0}^\perp } \lt \| T \| $, then for
every $ S \in \mathbb {B}(\mathscr {H})$, $T$ is the
strong Birkhoff--James orthogonal to $S$ if and only if
there exists a unit vector $ \xi \in {\mathscr {H}}_0$
such that $ \| T \| \xi = |T| \xi $ and $ S^*T \xi =
0$. Finally, we introduce a new type of approximate
orthogonality and investigate this notion in the
setting of inner product $ C^*$-modules.",
acknowledgement = ack-nhfb,
fjournal = "Canadian mathematical bulletin = Bulletin canadien de
math{\'e}matiques",
journal-URL = "http://cms.math.ca/cmb/",
subject-dates = "Garrett Birkhoff (19 January 1911--22 November
1996)",
}
@Article{Ye:2017:DCB,
author = "Tong Ye and Jinghui Zhang and Tony T. Lee and Weisheng
Hu",
title = "Deflection-Compensated {Birkhoff--von Neumann}
Switches",
journal = j-IEEE-TRANS-NETWORKING,
volume = "25",
number = "2",
pages = "879--895",
month = apr,
year = "2017",
CODEN = "IEANEP",
DOI = "https://doi.org/10.1109/TNET.2016.2606766",
ISSN = "1063-6692 (print), 1558-2566 (electronic)",
ISSN-L = "1063-6692",
bibdate = "Mon Jun 5 18:46:21 MDT 2017",
bibsource = "http://portal.acm.org/;
https://www.math.utah.edu/pub/bibnet/authors/b/birkhoff-garrett.bib;
https://www.math.utah.edu/pub/tex/bib/ieeetransnetworking.bib",
abstract = "Despite the high throughput and low complexity
achieved by input scheduling based on
Birkhoff-von-Neumann BvN decomposition, the performance
of the BvN switch becomes less predictable when the
input traffic is bursty. In this paper, we propose a
deflection-compensated BvN D-BvN switch architecture to
enhance the quasistatic scheduling based on BvN
decomposition. D-BvN switches provide capacity
guarantee for virtual circuits VCs and deflect bursty
traffic when overflow occurs. The deflection scheme is
devised to offset the excessive buffer requirement of
each VC when input traffic is bursty. The design of our
conditional deflection mechanism is based on the fact
that it is unlikely that the traffic input to VCs is
all bursty at the same time; most likely, some starving
VCs have spare capacities when some other VCs are in
the overflow state. The proposed algorithm makes full
use of the spare capacities of those starving VCs to
deflect the overflow traffic to other inputs and
provide bandwidth for the deflected traffic to
re-access the desired VC. Our analysis and simulation
results show that this deflection-compensated mechanism
can support BvN switches to achieve close to 100\%
throughput of offered load even with bursty input
traffic, and reduces the average end-to-end delay and
delay jitter. Also, our result indicates that the
packet out-of-sequence probability due to deflection of
overflow traffic is negligible, and thus, only a small
re-sequencing buffer is needed at each output port. We
also compare D-BvN with the well-established online
scheduling algorithm iSLIP, and the result demonstrates
that D-BvN outperforms iSLIP in terms of the throughput
of offered load when the traffic is non-uniform or the
traffic load is not very high.",
acknowledgement = ack-nhfb,
fjournal = "IEEE\slash ACM Transactions on Networking",
journal-URL = "http://portal.acm.org/browse_dl.cfm?idx=J771",
subject-dates = "Garrett Birkhoff (19 January 1911--22 November
1996)",
}
@Article{Allasia:2018:HBI,
author = "Giampietro Allasia and Roberto Cavoretto and
Alessandra {De Rossi}",
title = "{Hermite--Birkhoff} interpolation on scattered data on
the sphere and other manifolds",
journal = j-APPL-MATH-COMP,
volume = "318",
number = "??",
pages = "35--50",
day = "1",
month = feb,
year = "2018",
CODEN = "AMHCBQ",
ISSN = "0096-3003 (print), 1873-5649 (electronic)",
ISSN-L = "0096-3003",
bibdate = "Tue Oct 24 16:17:36 MDT 2017",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/birkhoff-garrett.bib;
https://www.math.utah.edu/pub/tex/bib/applmathcomput2015.bib",
URL = "http://www.sciencedirect.com/science/article/pii/S0096300317303065",
acknowledgement = ack-nhfb,
fjournal = "Applied Mathematics and Computation",
journal-URL = "http://www.sciencedirect.com/science/journal/00963003",
subject-dates = "Garrett Birkhoff (19 January 1911--22 November
1996)",
}
@Article{DellAccio:2018:RFH,
author = "Francesco Dell'Accio and Filomena {Di Tommaso} and Kai
Hormann",
title = "Reconstruction of a function from {Hermite--Birkhoff}
data",
journal = j-APPL-MATH-COMP,
volume = "318",
number = "??",
pages = "51--69",
day = "1",
month = feb,
year = "2018",
CODEN = "AMHCBQ",
ISSN = "0096-3003 (print), 1873-5649 (electronic)",
ISSN-L = "0096-3003",
bibdate = "Tue Oct 24 16:17:36 MDT 2017",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/birkhoff-garrett.bib;
https://www.math.utah.edu/pub/tex/bib/applmathcomput2015.bib",
URL = "http://www.sciencedirect.com/science/article/pii/S0096300317303727",
acknowledgement = ack-nhfb,
fjournal = "Applied Mathematics and Computation",
journal-URL = "http://www.sciencedirect.com/science/journal/00963003",
subject-dates = "Garrett Birkhoff (19 January 1911--22 November
1996)",
}
@Article{Dufosse:2018:FNB,
author = "Fanny Dufoss{\'e} and Kamer Kaya and Ioannis
Panagiotas and Bora U{\c{c}}ar",
title = "Further notes on {Birkhoff--von Neumann} decomposition
of doubly stochastic matrices",
journal = j-LINEAR-ALGEBRA-APPL,
volume = "554",
number = "??",
pages = "68--78",
day = "1",
month = oct,
year = "2018",
CODEN = "LAAPAW",
DOI = "https://doi.org/10.1016/j.laa.2018.05.017",
ISSN = "0024-3795 (print), 1873-1856 (electronic)",
ISSN-L = "0024-3795",
bibdate = "Fri Aug 10 17:32:20 MDT 2018",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/birkhoff-garrett.bib;
https://www.math.utah.edu/pub/tex/bib/linala2015.bib",
URL = "http://www.sciencedirect.com/science/article/pii/S0024379518302568",
acknowledgement = ack-nhfb,
fjournal = "Linear Algebra and its Applications",
journal-URL = "http://www.sciencedirect.com/science/journal/00243795",
subject-dates = "Garrett Birkhoff (19 January 1911--22 November
1996)",
}
@Article{Durkovic:2018:BNS,
author = "Srdjan Durkovic and Zoran Cica",
title = "{Birkhoff--von Neumann} Switch Based on Greedy
Scheduling",
journal = j-IEEE-COMPUT-ARCHIT-LETT,
volume = "17",
number = "1",
pages = "13--16",
month = jan # "\slash " # jun,
year = "2018",
CODEN = "????",
DOI = "https://doi.org/10.1109/LCA.2017.2707082",
ISSN = "1556-6056 (print), 1556-6064 (electronic)",
ISSN-L = "1556-6056",
bibdate = "Tue Jun 25 07:41:05 2019",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/birkhoff-garrett.bib;
https://www.math.utah.edu/pub/tex/bib/ieeecomputarchitlett.bib",
abstract = "It is important to develop high performance packet
switches that are highly scalable. Among the popular
solutions are input queued (IQ) switches and load
balanced Birkhoff-von Neumann (LB-BvN) switches.
However, both solutions have their drawbacks. Switch
configuration pattern in IQ switches is random which
can limit the supported port speed. On the other hand,
LB-BvN switches require two switching stages which
increase the overall cost. Also, some LB-BvN solutions
suffer from the packet out of sequence problem. In this
paper, we propose a novel packet switch architecture
that combines the best properties of the IQ and LB-BvN
switches and eliminates their drawbacks.",
acknowledgement = ack-nhfb,
affiliation = "Cica, Z (Reprint Author), Univ Belgrade, Sch Elect
Engn, Belgrade 11120, Serbia. Durkovic, Srdjan; Cica,
Zoran, Univ Belgrade, Sch Elect Engn, Belgrade 11120,
Serbia.",
author-email = "srdjad6@gmail.com zoran.cica@etf.rs",
da = "2019-06-20",
doc-delivery-number = "FZ6EO",
eissn = "1556-6064",
fjournal = "IEEE Computer Architecture Letters",
journal-iso = "IEEE Comput. Archit. Lett.",
journal-URL = "http://ieeexplore.ieee.org/xpl/RecentIssue.jsp?punumber=10208",
keywords = "Architecture; data communications; Delays; greedy
scheduling; high performance packet; Internet; IP
networks; IQ switches; LB-BvN solutions; LB-BvN
switches; load balanced Birkhoff-von Neumann switches;
packet switch architecture; packet switching;
packet-switching networks; Ports (Computers); queueing
theory; Random access memory; resource allocation;
routers; Scheduling; switch configuration pattern;
Switches; switching stages; telecommunication
scheduling",
keywords-plus = "2-STAGE SWITCHES; DESIGN; ALGORITHM",
number-of-cited-references = "9",
research-areas = "Computer Science",
subject-dates = "Garrett Birkhoff (19 January 1911--22 November
1996)",
times-cited = "1",
unique-id = "Durkovic:2018:BNS",
web-of-science-categories = "Computer Science, Hardware \&
Architecture",
}
@Article{Liu:2018:SAH,
author = "Changying Liu and Arieh Iserles and Xinyuan Wu",
title = "Symmetric and arbitrarily high-order
{Birkhoff--Hermite} time integrators and their
long-time behaviour for solving nonlinear
{Klein--Gordon} equations",
journal = j-J-COMPUT-PHYS,
volume = "356",
number = "??",
pages = "1--30",
day = "1",
month = mar,
year = "2018",
CODEN = "JCTPAH",
ISSN = "0021-9991 (print), 1090-2716 (electronic)",
ISSN-L = "0021-9991",
bibdate = "Sat Jan 13 12:33:11 MST 2018",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/birkhoff-garrett.bib;
https://www.math.utah.edu/pub/tex/bib/jcomputphys2015.bib",
URL = "http://www.sciencedirect.com/science/article/pii/S0021999117308240",
acknowledgement = ack-nhfb,
fjournal = "Journal of Computational Physics",
journal-URL = "http://www.sciencedirect.com/science/journal/00219991",
subject-dates = "Garrett Birkhoff (19 January 1911--22 November
1996)",
}
@Article{McCoid:2018:PSM,
author = "Conor McCoid and Manfred R. Trummer",
title = "Preconditioning of spectral methods via {Birkhoff}
interpolation",
journal = j-NUMER-ALGORITHMS,
volume = "79",
number = "2",
pages = "555--573",
month = oct,
year = "2018",
CODEN = "NUALEG",
DOI = "https://doi.org/10.1007/s11075-017-0450-6",
ISSN = "1017-1398 (print), 1572-9265 (electronic)",
ISSN-L = "1017-1398",
bibdate = "Fri Sep 28 20:26:22 MDT 2018",
bibsource = "http://link.springer.com/journal/11075/79/2;
https://www.math.utah.edu/pub/bibnet/authors/b/birkhoff-garrett.bib;
https://www.math.utah.edu/pub/tex/bib/numeralgorithms.bib",
acknowledgement = ack-nhfb,
fjournal = "Numerical Algorithms",
journal-URL = "http://link.springer.com/journal/11075",
subject-dates = "Garrett Birkhoff (19 January 1911--22 November
1996)",
}
@Article{Paul:2018:ABJ,
author = "Kallol Paul and Debmalya Sain and Arpita Mal",
title = "Approximate {Birkhoff--James} orthogonality in the
space of bounded linear operators",
journal = j-LINEAR-ALGEBRA-APPL,
volume = "537",
number = "??",
pages = "348--357",
day = "15",
month = jan,
year = "2018",
CODEN = "LAAPAW",
ISSN = "0024-3795 (print), 1873-1856 (electronic)",
ISSN-L = "0024-3795",
bibdate = "Mon Oct 30 06:30:18 MDT 2017",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/birkhoff-garrett.bib;
https://www.math.utah.edu/pub/tex/bib/linala2015.bib",
URL = "http://www.sciencedirect.com/science/article/pii/S0024379517305773",
acknowledgement = ack-nhfb,
fjournal = "Linear Algebra and its Applications",
journal-URL = "http://www.sciencedirect.com/science/journal/00243795",
subject-dates = "Garrett Birkhoff (19 January 1911--22 November
1996)",
}
@Article{Rajchel:2018:RHM,
author = "Grzegorz Rajchel and Adam Gasiorowski and Karol
Zyczkowski",
title = "Robust {Hadamard} Matrices, Unistochastic Rays in
{Birkhoff} Polytope and Equi-Entangled Bases in
Composite Spaces",
journal = j-MATH-COMPUT-SCI,
volume = "12",
number = "4",
pages = "473--490",
month = dec,
year = "2018",
CODEN = "????",
DOI = "https://doi.org/10.1007/s11786-018-0384-y",
ISSN = "1661-8270 (print), 1661-8289 (electronic)",
ISSN-L = "1661-8270",
bibdate = "Mon Mar 4 06:59:44 MST 2019",
bibsource = "http://link.springer.com/journal/11786/12/4;
https://www.math.utah.edu/pub/bibnet/authors/b/birkhoff-garrett.bib;
https://www.math.utah.edu/pub/tex/bib/math-comput-sci.bib",
URL = "http://link.springer.com/content/pdf/10.1007/s11786-018-0384-y.pdf",
acknowledgement = ack-nhfb,
fjournal = "Mathematics in Computer Science",
journal-URL = "http://link.springer.com/journal/11786",
subject-dates = "Garrett Birkhoff (19 January 1911--22 November
1996)",
}
@Article{Chen:2019:BNT,
author = "Haibin Chen and Liqun Qi and Louis Caccetta and
Guanglu Zhou",
title = "{Birkhoff--von Neumann} theorem and decomposition for
doubly stochastic tensors",
journal = j-LINEAR-ALGEBRA-APPL,
volume = "583",
number = "??",
pages = "119--133",
day = "15",
month = dec,
year = "2019",
CODEN = "LAAPAW",
ISSN = "0024-3795 (print), 1873-1856 (electronic)",
ISSN-L = "0024-3795",
bibdate = "Thu Oct 3 08:39:43 MDT 2019",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/birkhoff-garrett.bib;
https://www.math.utah.edu/pub/tex/bib/linala2015.bib",
URL = "http://www.sciencedirect.com/science/article/pii/S002437951930374X",
acknowledgement = ack-nhfb,
fjournal = "Linear Algebra and its Applications",
journal-URL = "http://www.sciencedirect.com/science/journal/00243795",
subject-dates = "Garrett Birkhoff (19 January 1911--22 November
1996)",
}
@Article{DeVos:2019:BTU,
author = "Alexis {De Vos} and Stijn {De Baerdemacker}",
title = "The {Birkhoff} theorem for unitary matrices of
prime-power dimension",
journal = j-LINEAR-ALGEBRA-APPL,
volume = "578",
pages = "27--52",
day = "1",
month = oct,
year = "2019",
CODEN = "LAAPAW",
DOI = "https://doi.org/10.1016/j.laa.2019.05.007",
ISSN = "0024-3795 (print), 1873-1856 (electronic)",
ISSN-L = "0024-3795",
bibdate = "Thu May 16 08:23:11 MDT 2019",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/birkhoff-garrett.bib;
https://www.math.utah.edu/pub/tex/bib/linala2015.bib",
URL = "https://www.sciencedirect.com/science/article/pii/S0024379519302095",
acknowledgement = ack-nhfb,
fjournal = "Linear Algebra and its Applications",
journal-URL = "http://www.sciencedirect.com/science/journal/00243795",
subject-dates = "Garrett Birkhoff (19 January 1911--22 November
1996)",
}
@Article{Kane:2019:INB,
author = "Daniel Kane and Shachar Lovett and Sankeerth Rao",
title = "The Independence Number of the {Birkhoff} Polytope
Graph, and Applications to Maximally Recoverable
Codes",
journal = j-SIAM-J-COMPUT,
volume = "48",
number = "4",
pages = "1425--1435",
month = "????",
year = "2019",
CODEN = "SMJCAT",
DOI = "https://doi.org/10.1137/18M1205856",
ISSN = "0097-5397 (print), 1095-7111 (electronic)",
ISSN-L = "0097-5397",
bibdate = "Wed Oct 9 17:51:04 MDT 2019",
bibsource = "http://epubs.siam.org/sam-bin/dbq/toclist/SICOMP/48/4;
https://www.math.utah.edu/pub/bibnet/authors/b/birkhoff-garrett.bib;
https://www.math.utah.edu/pub/tex/bib/siamjcomput.bib",
acknowledgement = ack-nhfb,
fjournal = "SIAM Journal on Computing",
journal-URL = "http://epubs.siam.org/sicomp",
onlinedate = "January 2019",
subject-dates = "Garrett Birkhoff (19 January 1911--22 November
1996)",
}
@Article{Kim:2019:BJO,
author = "Sun Kwang Kim and Han Ju Lee",
title = "The {Birkhoff--James} orthogonality of operators on
infinite dimensional {Banach} spaces",
journal = j-LINEAR-ALGEBRA-APPL,
volume = "582",
number = "??",
pages = "440--451",
day = "1",
month = dec,
year = "2019",
CODEN = "LAAPAW",
ISSN = "0024-3795 (print), 1873-1856 (electronic)",
ISSN-L = "0024-3795",
bibdate = "Tue Sep 10 07:55:20 MDT 2019",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/birkhoff-garrett.bib;
https://www.math.utah.edu/pub/tex/bib/linala2015.bib",
URL = "http://www.sciencedirect.com/science/article/pii/S0024379519303520",
acknowledgement = ack-nhfb,
fjournal = "Linear Algebra and its Applications",
journal-URL = "http://www.sciencedirect.com/science/journal/00243795",
subject-dates = "Garrett Birkhoff (19 January 1911--22 November
1996)",
}
@Article{Paul:2019:SBJ,
author = "Kallol Paul and Arpita Mal and Pawel W{\'o}jcik",
title = "Symmetry of {Birkhoff--James} orthogonality of
operators defined between infinite dimensional {Banach}
spaces",
journal = j-LINEAR-ALGEBRA-APPL,
volume = "563",
number = "??",
pages = "142--153",
day = "15",
month = feb,
year = "2019",
CODEN = "LAAPAW",
DOI = "https://doi.org/10.1016/j.laa.2018.10.022",
ISSN = "0024-3795 (print), 1873-1856 (electronic)",
ISSN-L = "0024-3795",
bibdate = "Thu Dec 27 15:29:01 MST 2018",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/birkhoff-garrett.bib;
https://www.math.utah.edu/pub/tex/bib/linala2015.bib",
URL = "http://www.sciencedirect.com/science/article/pii/S0024379518305081",
acknowledgement = ack-nhfb,
fjournal = "Linear Algebra and its Applications",
journal-URL = "http://www.sciencedirect.com/science/journal/00243795",
subject-dates = "Garrett Birkhoff (19 January 1911--22 November
1996)",
}
@Article{DeCarvalho:2020:BNG,
author = "Marcelo H. {De Carvalho} and Nishad Kothari and Xiumei
Wang and Yixun Lin",
title = "{Birkhoff--von Neumann} Graphs that are {PM}-Compact",
journal = j-SIAM-J-DISCR-MATH,
volume = "34",
number = "3",
pages = "1769--1790",
month = "????",
year = "2020",
CODEN = "SJDMEC",
DOI = "https://doi.org/10.1137/18M1202347",
ISSN = "0895-4801 (print), 1095-7146 (electronic)",
ISSN-L = "0895-4801",
bibdate = "Fri Mar 12 10:35:02 MST 2021",
bibsource = "http://epubs.siam.org/sam-bin/dbq/toclist/SIDMA/34/3;
https://www.math.utah.edu/pub/bibnet/authors/b/birkhoff-garrett.bib;
https://www.math.utah.edu/pub/tex/bib/siamjdiscrmath.bib",
acknowledgement = ack-nhfb,
fjournal = "SIAM Journal on Discrete Mathematics",
journal-URL = "http://epubs.siam.org/sidma",
onlinedate = "January 2020",
subject-dates = "Garrett Birkhoff (19 January 1911--22 November
1996)",
}
@Article{Maurya:2020:NHC,
author = "Praveen K. Maurya and Manoj K. Rajpoot and Vivek S.
Yadav and Ankit Singh",
title = "New hybrid compact schemes for structured irregular
meshes using {Birkhoff} polynomial basis",
journal = j-J-COMPUT-PHYS,
volume = "423",
number = "??",
pages = "Article 109808",
day = "15",
month = dec,
year = "2020",
CODEN = "JCTPAH",
DOI = "https://doi.org/10.1016/j.jcp.2020.109808",
ISSN = "0021-9991 (print), 1090-2716 (electronic)",
ISSN-L = "0021-9991",
bibdate = "Sat Mar 13 09:06:35 MST 2021",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/birkhoff-garrett.bib;
https://www.math.utah.edu/pub/tex/bib/jcomputphys2020.bib",
URL = "http://www.sciencedirect.com/science/article/pii/S0021999120305829",
acknowledgement = ack-nhfb,
fjournal = "Journal of Computational Physics",
journal-URL = "http://www.sciencedirect.com/science/journal/00219991",
subject-dates = "Garrett Birkhoff (19 January 1911--22 November
1996)",
}
@Article{Arambasic:2021:OPM,
author = "Ljiljana Aramba{\v{s}}i{\'c} and Alexander Guterman
and Bojan Kuzma and Rajna Raji{\'c} and Svetlana
Zhilina",
title = "Operators preserving mutual strong {Birkhoff--James}
orthogonality on {$ \mathcal {B}(H) $}",
journal = j-LINEAR-ALGEBRA-APPL,
volume = "624",
number = "??",
pages = "27--43",
day = "1",
month = sep,
year = "2021",
CODEN = "LAAPAW",
DOI = "https://doi.org/10.1016/j.laa.2021.04.003",
ISSN = "0024-3795 (print), 1873-1856 (electronic)",
ISSN-L = "0024-3795",
bibdate = "Wed Jan 26 07:45:26 MST 2022",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/birkhoff-garrett.bib;
https://www.math.utah.edu/pub/tex/bib/linala2020.bib",
URL = "http://www.sciencedirect.com/science/article/pii/S0024379521001592",
acknowledgement = ack-nhfb,
fjournal = "Linear Algebra and its Applications",
journal-URL = "http://www.sciencedirect.com/science/journal/00243795",
subject-dates = "Garrett Birkhoff (19 January 1911--22 November
1996)",
}
@Article{Reyes:2021:MCS,
author = "Armando Reyes and Camilo Rodr{\'\i}guez",
title = "The {McCoy} Condition on Skew
{Poincar{\'e}--Birkhoff--Witt} Extensions",
journal = j-COMMUN-MATH-STAT,
volume = "9",
number = "1",
pages = "1--21",
month = mar,
year = "2021",
CODEN = "????",
DOI = "https://doi.org/10.1007/s40304-019-00184-5",
ISSN = "2194-6701 (print), 2194-671X (electronic)",
ISSN-L = "2194-6701",
bibdate = "Wed Mar 31 15:34:20 MDT 2021",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/birkhoff-garrett.bib;
https://www.math.utah.edu/pub/tex/bib/communmathstat.bib",
URL = "http://link.springer.com/article/10.1007/s40304-019-00184-5",
acknowledgement = ack-nhfb,
fjournal = "Communications in Mathematics and Statistics",
journal-URL = "http://link.springer.com/journal/40304",
subject-dates = "Garrett Birkhoff (19 January 1911--22 November
1996)",
}
@Article{Valls:2021:BDR,
author = "V{\'\i}ctor Valls and George Iosifidis and Leandros
Tassiulas",
title = "{Birkhoff}'s Decomposition Revisited: Sparse
Scheduling for High-Speed Circuit Switches",
journal = j-IEEE-TRANS-NETWORKING,
volume = "29",
number = "6",
pages = "2399--2412",
month = dec,
year = "2021",
CODEN = "IEANEP",
DOI = "https://doi.org/10.1109/TNET.2021.3088327",
ISSN = "1063-6692 (print), 1558-2566 (electronic)",
ISSN-L = "1063-6692",
bibdate = "Fri Apr 15 05:49:27 MDT 2022",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/birkhoff-garrett.bib;
https://www.math.utah.edu/pub/tex/bib/ieeetransnetworking.bib",
URL = "https://dl.acm.org/doi/10.1109/TNET.2021.3088327",
abstract = "Data centers are increasingly using high-speed circuit
switches to cope with the growing demand and reduce
operational costs. One of the fundamental tasks of
circuit switches is to compute a sparse collection of
switching configurations to support a \ldots{}",
acknowledgement = ack-nhfb,
fjournal = "IEEE\slash ACM Transactions on Networking",
journal-URL = "https://dl.acm.org/loi/ton",
subject-dates = "Garrett Birkhoff (19 January 1911--22 November
1996)",
}
@Article{Wei:2021:CSP,
author = "Chunqiu Wei and Lin He and Huibin Wu and Hairui Wen",
title = "A class of structure-preserving discontinuous
{Galerkin} variational time integrators for
{Birkhoffian} systems",
journal = j-APPL-MATH-COMP,
volume = "393",
number = "??",
pages = "Article 125750",
day = "15",
month = mar,
year = "2021",
CODEN = "AMHCBQ",
DOI = "https://doi.org/10.1016/j.amc.2020.125750",
ISSN = "0096-3003 (print), 1873-5649 (electronic)",
ISSN-L = "0096-3003",
bibdate = "Sat Mar 13 06:39:52 MST 2021",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/birkhoff-garrett.bib;
https://www.math.utah.edu/pub/tex/bib/applmathcomput2020.bib",
URL = "http://www.sciencedirect.com/science/article/pii/S0096300320307037",
acknowledgement = ack-nhfb,
fjournal = "Applied Mathematics and Computation",
journal-URL = "http://www.sciencedirect.com/science/journal/00963003",
subject-dates = "Garrett Birkhoff (19 January 1911--22 November
1996)",
}
@Article{Arambasic:2022:RRS,
author = "Ljiljana Arambasi{\'c} and Anda Valent",
title = "On a relation related to strong {Birkhoff--James}
orthogonality",
journal = j-LIN-MULT-ALGEBRA,
volume = "70",
number = "11",
pages = "2088--2096",
year = "2022",
CODEN = "LNMLAZ",
DOI = "https://doi.org/10.1080/03081087.2020.1784082",
ISSN = "0308-1087 (print), 1563-5139 (electronic)",
ISSN-L = "0308-1087",
bibdate = "Wed Jul 20 08:30:57 MDT 2022",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/birkhoff-garrett.bib;
https://www.math.utah.edu/pub/tex/bib/linmultalgebra.bib",
acknowledgement = ack-nhfb,
fjournal = "Linear and Multilinear Algebra",
journal-URL = "http://www.tandfonline.com/loi/glma20",
onlinedate = "22 Jun 2020",
subject-dates = "Garrett Birkhoff (19 January 1911--22 November
1996)",
}
@Article{Benabdi:2022:BJO,
author = "El Hassan Benabdi and Abderrahim Baghdad and Mohamed
Chraibi Kaadoud",
title = "{Birkhoff--James} orthogonality and algebraic maximal
numerical range in {$ C^* $}-algebras",
journal = j-LIN-MULT-ALGEBRA,
volume = "70",
number = "21",
pages = "6523--6534",
year = "2022",
CODEN = "LNMLAZ",
DOI = "https://doi.org/10.1080/03081087.2021.1959888",
ISSN = "0308-1087 (print), 1563-5139 (electronic)",
ISSN-L = "0308-1087",
bibdate = "Tue Jun 6 06:29:24 MDT 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/birkhoff-garrett.bib;
https://www.math.utah.edu/pub/tex/bib/linmultalgebra.bib",
acknowledgement = ack-nhfb,
fjournal = "Linear and Multilinear Algebra",
journal-URL = "http://www.tandfonline.com/loi/glma20",
onlinedate = "30 Jul 2021",
subject-dates = "Garrett Birkhoff (19 January 1911--22 November
1996)",
}
@Article{Rajchel-Mieldzioc:2022:AGS,
author = "Grzegorz Rajchel-Mieldzio{\'c} and Kamil Korzekwa and
Zbigniew Pucha{\l}a and Karol Zyczkowski",
title = "Algebraic and geometric structures inside the
{Birkhoff} polytope",
journal = j-J-MATH-PHYS,
volume = "63",
number = "1",
pages = "012202",
month = jan,
year = "2022",
CODEN = "JMAPAQ",
DOI = "https://doi.org/10.1063/5.0046581",
ISSN = "0022-2488 (print), 1089-7658 (electronic), 1527-2427",
ISSN-L = "0022-2488",
bibdate = "Tue Apr 5 13:42:17 MDT 2022",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/birkhoff-garrett.bib;
https://www.math.utah.edu/pub/tex/bib/jmathphys2020.bib",
acknowledgement = ack-nhfb,
ajournal = "J. Math. Phys.",
fjournal = "Journal of Mathematical Physics",
journal-URL = "http://jmp.aip.org/",
subject-dates = "Garrett Birkhoff (19 January 1911--22 November
1996)",
}
@Article{Shitov:2022:EPF,
author = "Yaroslav Shitov",
title = "On the extreme points of a family of matrices related
to a theorem of {Birkhoff}",
journal = j-LINEAR-ALGEBRA-APPL,
volume = "632",
number = "??",
pages = "233--240",
day = "1",
month = jan,
year = "2022",
CODEN = "LAAPAW",
DOI = "https://doi.org/10.1016/j.laa.2021.09.016",
ISSN = "0024-3795 (print), 1873-1856 (electronic)",
ISSN-L = "0024-3795",
bibdate = "Wed Jan 26 07:45:33 MST 2022",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/birkhoff-garrett.bib;
https://www.math.utah.edu/pub/tex/bib/linala2020.bib",
URL = "http://www.sciencedirect.com/science/article/pii/S0024379521003499",
acknowledgement = ack-nhfb,
fjournal = "Linear Algebra and its Applications",
journal-URL = "http://www.sciencedirect.com/science/journal/00243795",
subject-dates = "Garrett Birkhoff (19 January 1911--22 November
1996)",
}
@Article{Qiu:2023:SCD,
author = "Zhiping Qiu and Yu Qiu",
title = "Symplectic central difference scheme for quasi-linear
autonomous {Birkhoffian} systems",
journal = j-APPL-MATH-COMP,
volume = "440",
number = "??",
pages = "??--??",
day = "1",
month = mar,
year = "2023",
CODEN = "AMHCBQ",
DOI = "https://doi.org/10.1016/j.amc.2022.127661",
ISSN = "0096-3003 (print), 1873-5649 (electronic)",
ISSN-L = "0096-3003",
bibdate = "Sat Nov 26 07:09:34 MST 2022",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/birkhoff-garrett.bib;
https://www.math.utah.edu/pub/tex/bib/applmathcomput2020.bib",
URL = "http://www.sciencedirect.com/science/article/pii/S0096300322007329",
acknowledgement = ack-nhfb,
articleno = "127661",
fjournal = "Applied Mathematics and Computation",
journal-URL = "http://www.sciencedirect.com/science/journal/00963003",
subject-dates = "Garrett Birkhoff (19 January 1911--22 November
1996)",
}
@Article{Ross:2023:UBP,
author = "I. M. Ross and R. J. Proulx and C. F. Borges",
title = "A universal {Birkhoff} pseudospectral method for
solving boundary value problems",
journal = j-APPL-MATH-COMP,
volume = "454",
number = "??",
pages = "??--??",
day = "1",
month = oct,
year = "2023",
CODEN = "AMHCBQ",
DOI = "https://doi.org/10.1016/j.amc.2023.128101",
ISSN = "0096-3003 (print), 1873-5649 (electronic)",
ISSN-L = "0096-3003",
bibdate = "Thu Jun 1 10:43:57 MDT 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/birkhoff-garrett.bib;
https://www.math.utah.edu/pub/tex/bib/applmathcomput2020.bib",
URL = "http://www.sciencedirect.com/science/article/pii/S0096300323002709",
acknowledgement = ack-nhfb,
articleno = "128101",
fjournal = "Applied Mathematics and Computation",
journal-URL = "http://www.sciencedirect.com/science/journal/00963003",
subject-dates = "Garrett Birkhoff (19 January 1911--22 November
1996)",
}
@Article{Xia:2023:LMU,
author = "Peng Xia and Na Lei and Tian Dong",
title = "On the linearization methods for univariate {Birkhoff}
rational interpolation",
journal = j-APPL-MATH-COMP,
volume = "445",
number = "??",
pages = "??--??",
day = "15",
month = may,
year = "2023",
CODEN = "AMHCBQ",
DOI = "https://doi.org/10.1016/j.amc.2022.127831",
ISSN = "0096-3003 (print), 1873-5649 (electronic)",
ISSN-L = "0096-3003",
bibdate = "Thu Feb 23 11:23:36 MST 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/birkhoff-garrett.bib;
https://www.math.utah.edu/pub/tex/bib/applmathcomput2020.bib",
URL = "http://www.sciencedirect.com/science/article/pii/S0096300322008992",
acknowledgement = ack-nhfb,
articleno = "127831",
fjournal = "Applied Mathematics and Computation",
journal-URL = "http://www.sciencedirect.com/science/journal/00963003",
subject-dates = "Garrett Birkhoff (19 January 1911--22 November
1996)",
}
%%% ====================================================================
%%% Cross-referenced entries must come last. They are sorted by year
%%% and then by citation label, with ``bibsort --byyear'':
@Book{Birkhoff:1959:PNS,
editor = "Garrett Birkhoff and R. E. Langer",
booktitle = "Proceedings of the {Ninth Symposium in Applied
Mathematics of the American Mathematical Society. Held
at New York University, April 4--6, 1957. Orbit
theory}",
title = "Proceedings of the {Ninth Symposium in Applied
Mathematics of the American Mathematical Society. Held
at New York University, April 4--6, 1957. Orbit
theory}",
volume = "9",
publisher = pub-AMS,
address = pub-AMS:adr,
year = "1959",
ISSN = "0160-7634",
MRclass = "00B25",
bibdate = "Sun Oct 29 10:49:01 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/birkhoff-garrett.bib",
series = "Proc. Symp. Appl. Math.",
ZMnumber = "0103.39704",
acknowledgement = ack-nhfb,
author-dates = "Garrett Birkhoff (19 January 1911--22 November 1996)",
fseries = "Proceedings of Symposia in Applied Mathematics",
ZBmath = "3169208",
}
@Proceedings{Birkhoff:1961:NRT,
editor = "Garrett Birkhoff and Eugene P. (Eugene Paul) Wigner",
booktitle = "{Nuclear reactor theory: [proceedings of the 11th
Symposium in Applied Mathematics of the American
Mathematical Society held at the Hotel New Yorker,
April 23--25, 1959]}",
title = "{Nuclear reactor theory: [proceedings of the 11th
Symposium in Applied Mathematics of the American
Mathematical Society held at the Hotel New Yorker,
April 23--25, 1959]}",
volume = "11",
publisher = pub-AMS,
address = pub-AMS:adr,
bookpages = "v + 339",
pages = "v + 339",
year = "1961",
ISSN = "0160-7634",
LCCN = "QC787.N8 S9 1959",
MRclass = "00B25",
bibdate = "Tue Jun 28 07:04:40 MDT 2011",
bibsource = "fsz3950.oclc.org:210/WorldCat;
https://www.math.utah.edu/pub/bibnet/authors/b/birkhoff-garrett.bib;
https://www.math.utah.edu/pub/bibnet/authors/w/wigner-eugene.bib;
https://www.math.utah.edu/pub/tex/bib/prng.bib",
series = "Proceedings of Symposia in Applied Mathematics",
ZMnumber = "0098.23302",
acknowledgement = ack-nhfb,
editor-dates = "Eugene Wigner (17 November 1902--1 January 1995);
Garrett Birkhoff (19 January 1911--22 November 1996)",
ZBmath = "3160315",
}
@Book{Taub:1961:JNCa,
editor = "A. H. Taub",
booktitle = "{John von Neumann}: Collected Works: {Volume I}:
{Logic}, Theory of Sets and Quantum Mechanics",
title = "{John von Neumann}: Collected Works: {Volume I}:
{Logic}, Theory of Sets and Quantum Mechanics",
publisher = pub-PERGAMON,
address = pub-PERGAMON:adr,
pages = "x + 654",
year = "1961",
LCCN = "????",
bibdate = "Wed Jun 01 16:58:29 2005",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/birkhoff-garrett.bib;
https://www.math.utah.edu/pub/bibnet/authors/v/von-neumann-john.bib;
https://www.math.utah.edu/pub/tex/bib/fparith.bib",
note = "See also volumes II--VI
\cite{Taub:1961:JNCb,Taub:1961:JNCc,Taub:1962:JNC,Taub:1963:JNCa,Taub:1963:JNCb}.",
ZMnumber = "0188.00102",
acknowledgement = ack-nhfb,
}
@Book{Taub:1961:JNCb,
editor = "A. H. Taub",
booktitle = "{John von Neumann}: Collected Works. {Volume II}:
{Operators}, Ergodic Theory and Almost Periodic
Functions in a Group",
title = "{John von Neumann}: Collected Works. {Volume II}:
{Operators}, Ergodic Theory and Almost Periodic
Functions in a Group",
publisher = pub-PERGAMON,
address = pub-PERGAMON:adr,
pages = "x + 568",
year = "1961",
LCCN = "????",
bibdate = "Wed Jun 01 16:58:29 2005",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/birkhoff-garrett.bib;
https://www.math.utah.edu/pub/bibnet/authors/v/von-neumann-john.bib;
https://www.math.utah.edu/pub/tex/bib/fparith.bib",
note = "See also volumes I, III--VI
\cite{Taub:1961:JNCa,Taub:1961:JNCc,Taub:1962:JNC,Taub:1963:JNCa,Taub:1963:JNCb}.",
ZMnumber = "0188.00102",
acknowledgement = ack-nhfb,
}
@Book{Taub:1961:JNCc,
editor = "A. H. Taub",
booktitle = "{John von Neumann}: Collected Works. {Volume III}:
Rings of Operators",
title = "{John von Neumann}: Collected Works. {Volume III}:
Rings of Operators",
publisher = pub-PERGAMON,
address = pub-PERGAMON:adr,
pages = "ix + 574",
year = "1961--1963",
LCCN = "????",
bibdate = "Wed Jun 01 16:58:29 2005",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/birkhoff-garrett.bib;
https://www.math.utah.edu/pub/bibnet/authors/v/von-neumann-john.bib;
https://www.math.utah.edu/pub/tex/bib/fparith.bib",
note = "See also volumes I--II, IV--VI
\cite{Taub:1961:JNCa,Taub:1961:JNCb,Taub:1962:JNC,Taub:1963:JNCa,Taub:1963:JNCb}.",
ZMnumber = "0188.00102",
acknowledgement = ack-nhfb,
}
@Proceedings{Birkhoff:1962:HIP,
editor = "Garrett Birkhoff and Richard Bellman and C. C. Lin",
booktitle = "Hydrodynamic instability. {Proceedings of the
Thirteenth Symposium in Applied Mathematics of the
American Mathematical Society, Hotel New Yorker, New
York, USA, April 14--15, 1960}",
title = "Hydrodynamic instability. {Proceedings of the
Thirteenth Symposium in Applied Mathematics of the
American Mathematical Society, Hotel New Yorker, New
York, USA, April 14--15, 1960}",
volume = "13",
publisher = pub-AMS,
address = pub-AMS:adr,
pages = "vii + 319",
year = "1962",
ISSN = "0160-7634",
MRclass = "00B25",
bibdate = "Sat Mar 31 07:49:19 2007",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/birkhoff-garrett.bib;
https://www.math.utah.edu/pub/bibnet/authors/u/ulam-stanislaw-m.bib",
series = "Symposia in Applied Mathematics",
ZMnumber = "0107.42003",
acknowledgement = ack-nhfb,
editor-dates = "Garrett Birkhoff (19 January 1911--22 November 1996)",
fseries = "Proceedings of Symposia in Applied Mathematics",
ZBmath = "3175906",
}
@Book{Taub:1962:JNC,
editor = "A. H. Taub",
booktitle = "{John von Neumann}: Collected Works. {Volume IV}:
{Continuous} Geometry and Other Topics",
title = "{John von Neumann}: Collected Works. {Volume IV}:
{Continuous} Geometry and Other Topics",
publisher = pub-PERGAMON,
address = pub-PERGAMON:adr,
pages = "x + 516",
year = "1962",
LCCN = "????",
bibdate = "Wed Jun 01 16:58:29 2005",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/birkhoff-garrett.bib;
https://www.math.utah.edu/pub/bibnet/authors/v/von-neumann-john.bib;
https://www.math.utah.edu/pub/tex/bib/fparith.bib",
note = "See also volumes I--III, V--VI
\cite{Taub:1961:JNCa,Taub:1961:JNCb,Taub:1961:JNCc,Taub:1963:JNCa,Taub:1963:JNCb}.",
ZMnumber = "0188.00102",
acknowledgement = ack-nhfb,
}
@Book{Frank:1963:SPR,
editor = "Ph. Frank and S. Goldstein and M. Kac and W. Prager
and G. Szeg{\H{o}} and G. Birkhoff",
booktitle = "Selected papers of {Richard von Mises}. {Vol. I}:
{Geometry}, mechanics, analysis",
title = "Selected papers of {Richard von Mises}. {Vol. I}:
{Geometry}, mechanics, analysis",
publisher = pub-AMS,
address = pub-AMS:adr,
pages = "xxiii + 626",
year = "1963",
MRclass = "01A75",
bibdate = "Sun Oct 29 10:49:01 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/birkhoff-garrett.bib",
ZMnumber = "0138.24202",
acknowledgement = ack-nhfb,
editor-dates = "Garrett Birkhoff (19 January 1911--22 November 1996)",
ZBmath = "3224519",
}
@Book{Taub:1963:JNCa,
editor = "A. H. Taub",
booktitle = "{John von Neumann}: Collected Works. {Volume V}:
{Design} of Computers, Theory of Automata and Numerical
Analysis",
title = "{John von Neumann}: Collected Works. {Volume V}:
{Design} of Computers, Theory of Automata and Numerical
Analysis",
publisher = pub-PERGAMON,
address = pub-PERGAMON:adr,
pages = "ix + 784",
year = "1963",
LCCN = "????",
bibdate = "Wed Jun 01 16:58:29 2005",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/birkhoff-garrett.bib;
https://www.math.utah.edu/pub/bibnet/authors/v/von-neumann-john.bib;
https://www.math.utah.edu/pub/tex/bib/fparith.bib",
note = "See also volumes I--IV, VI
\cite{Taub:1961:JNCa,Taub:1961:JNCb,Taub:1961:JNCc,Taub:1962:JNC,Taub:1963:JNCb}.",
ZMnumber = "0188.00102",
acknowledgement = ack-nhfb,
}
@Book{Taub:1963:JNCb,
editor = "A. H. Taub",
booktitle = "{John von Neumann}: Collected Works. {Volume VI}:
{Theory} of Games, Astrophysics, Hydrodynamics and
Meteorology",
title = "{John von Neumann}: Collected Works. {Volume VI}:
{Theory} of Games, Astrophysics, Hydrodynamics and
Meteorology",
publisher = pub-PERGAMON,
address = pub-PERGAMON:adr,
pages = "x + 538",
year = "1963",
LCCN = "????",
bibdate = "Wed Jun 01 16:58:29 2005",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/birkhoff-garrett.bib;
https://www.math.utah.edu/pub/bibnet/authors/d/dirac-p-a-m.bib;
https://www.math.utah.edu/pub/bibnet/authors/f/fermi-enrico.bib;
https://www.math.utah.edu/pub/bibnet/authors/f/forsythe-george-elmer.bib;
https://www.math.utah.edu/pub/bibnet/authors/m/metropolis-nicholas.bib;
https://www.math.utah.edu/pub/bibnet/authors/v/von-neumann-john.bib;
https://www.math.utah.edu/pub/bibnet/authors/w/wigner-eugene.bib;
https://www.math.utah.edu/pub/tex/bib/einstein.bib;
https://www.math.utah.edu/pub/tex/bib/fparith.bib;
https://www.math.utah.edu/pub/tex/bib/master.bib",
note = "See also volumes I--V
\cite{Taub:1961:JNCa,Taub:1961:JNCb,Taub:1961:JNCc,Taub:1962:JNC,Taub:1963:JNCa}.",
ZMnumber = "0188.00102",
acknowledgement = ack-nhfb,
}
@Proceedings{Garabedian:1965:AFP,
editor = "Henry L. Garabedian",
booktitle = "{Approximation of Functions (Proceedings of the
Symposium on Approximation of Functions, General Motors
Research Laboratories, Warren, Michigan, 1964)}",
title = "{Approximation of Functions (Proceedings of the
Symposium on Approximation of Functions, General Motors
Research Laboratories, Warren, Michigan, 1964)}",
publisher = pub-ELSEVIER,
address = pub-ELSEVIER:adr,
pages = "220",
year = "1965",
LCCN = "????",
bibdate = "Sun Dec 30 18:29:06 2007",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/birkhoff-garrett.bib;
https://www.math.utah.edu/pub/bibnet/authors/r/rice-john-r.bib",
acknowledgement = ack-nhfb,
tableofcontents = "1. The convergence of sequences of rational
functions of best approximation with some free poles
(Walsh) \\
2. Uses of Hilbert space in approximation (Sard) \\
3. Applications of duality in approximation theory
(Buck) \\
4. Inclusion theorems for the minimal distance in
rational Tschebyscheff approximation with several
variables (Collatz) \\
5. Rational approximation on finite point sets (Fox,
Goldstein, and Lastman) \\
6. Phase methods for polynomial approximation (Stiefel)
\\
7. Optimal and nearly-optimal linear approximation
(Golomb) \\
8. Approximation by generalized rat ion a 1 functions
(Cheney) \\
9. Nonlinear approximation (Rice) \\
10. Nonlinear sequence transformations (Bauer) \\
11. Approximation theory in the first two decades of
electronic computers (Davis) \\
12. Piecewise polynomial interpolation and
approximation (Birkhoff and de Boor) \\
13. Russian literature on approximation in 1958--1964
(Lorentz)",
}
@Proceedings{Bellman:1969:TTP,
editor = "R. Bellman and G. Birkhoff and I. Abu-Shumays",
booktitle = "Transport theory. Proceedings of a symposium in
applied mathematics of the {American Mathematical
Society and the Society for Industrial and Applied
Mathematics. Held in New York City, April 5--8, 1967}",
title = "Transport theory. Proceedings of a symposium in
applied mathematics of the {American Mathematical
Society and the Society for Industrial and Applied
Mathematics. Held in New York City, April 5--8, 1967}",
publisher = pub-AMS,
address = pub-AMS:adr,
pages = "vii + 327",
year = "1969",
MRclass = "00B25 90-06",
bibdate = "Sun Oct 29 10:49:01 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/birkhoff-garrett.bib",
ZMnumber = "0181.22903",
acknowledgement = ack-nhfb,
editor-dates = "Garrett Birkhoff (19 January 1911--22 November 1996)",
ZBmath = "3288375",
}
@Proceedings{Abbott:1970:TLT,
editor = "J. C. (James Crawford) Abbott",
booktitle = "Trends in Lattice Theory",
title = "Trends in Lattice Theory",
publisher = pub-VAN-NOSTRAND-REINHOLD,
address = pub-VAN-NOSTRAND-REINHOLD:adr,
bookpages = "ix + 215",
pages = "ix + 215",
year = "1970",
ISBN = "0-442-00215-7",
ISBN-13 = "978-0-442-00215-2",
LCCN = "QA171.5T74 1970",
bibdate = "Wed Nov 01 07:41:38 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/birkhoff-garrett.bib",
note = "Written versions of four talks delivered to a
symposium on trends in lattice theory held at the
United States Naval Academy in May of 1966.",
acknowledgement = ack-nhfb,
author-dates = "Garrett Birkhoff (19 January 1911--22 November 1996)",
tableofcontents = "Preface / iii \\
\\
Part I: What Can Lattices Do for You? / Garrett
Birkhoff \\
\\
Introduction / 1 \\
Boolean logic / 2 \\
Dedekind's work / 4 \\
Lattice theory begins / 6 \\
Lattices and groups / 7 \\
Universal algebra / 9 \\
Geometric lattices / 12 \\
Continuous geometries / 14 \\
Lattices and set theory / 19 \\
Current trends in set theory / 21 \\
Convergence in lattices / 24 \\
Lattice-ordered monoids / 27 \\
Lattice- ordered groups / 29 \\
Vector lattices / 31 \\
Directed vector spaces / 34 \\
Positive linear operators / 36 \\
Time- dependent case / 37 \\
Bibliography / 39 \\
\\
Part II: The Current Interest in Orthomodular Lattices
/ Samuel S. Holland, Jr. \\
\\
Introduction / 41 \\
The origin of orthomodular lattice theory / 46 \\
Some basic orthomodular lattice theory / 79 \\
The principal results / 95 \\
Some brief remarks on quantum mechanics / 114 \\
Bibliography / 117 \\
Part III: Geometric Lattices / Henry Crapo and
Gian-Carlo Rota \\
\\
Introduction / 127 \\
Geometries and Geometric Lattices / 132 \\
Classical Examples / 141 \\
Span, bases, minors, and dependence / 150 \\
The extension theorem / 153 \\
The critical problem / 161 \\
Bibliography / 167 \\
\\
Part IV: Universal Algebra / George Gr{\"a}tzer \\
\\
Introduction / 173 \\
Basic concepts / 175 \\
From the Homomorphism theorem to the Jordan--H{\"o}lder
theorem / 176 \\
Algebraic constructions / 178 \\
Related structures / 181 \\
Free algebras and identities / 185 \\
Bases of free algebras / 188 \\
The first order language of algebras / 193 \\
Free $\Sigma$-algebras / 199 \\
Some general comments and lattice-theoretic particulars
/ / 202 \\
Appendix / 211",
}
@Proceedings{Birkhoff:1970:NSF,
editor = "Garrett Birkhoff and Richard S. Varga",
booktitle = "Numerical solution of field problems in continuum
physics: proceedings of a {Symposium in applied
mathematics of the American Mathematical Society and
the Society for Industrial and Applied Mathematics held
in Durham, North Carolina, April 5--6, 1968}",
title = "Numerical solution of field problems in continuum
physics: proceedings of a {Symposium in applied
mathematics of the American Mathematical Society and
the Society for Industrial and Applied Mathematics held
in Durham, North Carolina, April 5--6, 1968}",
volume = "2",
publisher = pub-AMS,
address = pub-AMS:adr,
bookpages = "viii + 280",
pages = "viii + 280",
year = "1970",
ISBN = "0-8218-1321-0",
ISBN-13 = "978-0-8218-1321-8",
LCCN = "QA1 .A5217 n.s. v.2 1968; QC174.45.S96 1968",
MRclass = "00B25 74-06 76-06",
bibdate = "Wed Apr 20 17:21:32 MDT 2022",
bibsource = "fsz3950.oclc.org:210/WorldCat;
https://www.math.utah.edu/pub/bibnet/authors/b/birkhoff-garrett.bib;
https://www.math.utah.edu/pub/bibnet/authors/v/varga-richard-steven.bib",
series = "SIAM-AMS proceedings",
ZMnumber = "0207.00201",
acknowledgement = ack-nhfb,
author-dates = "Garrett Birkhoff (19 January 1911--22 November 1996)",
editor-dates = "Garrett Birkhoff (19 January 1911--22 November 1996);
Richard S. Varga (8 October 1928--25 February 2022)",
subject = "Kontinuumsphysik; Numerisches Verfahren",
xxbooktitle = "Numerical Solution of Field Problems in Continuum
Physics ({Proceedings of the Symposium Appl. Math.,
Durham, NC, 1968}), {SIAM-AMS Proc., Vol. II}",
ZBmath = "3328977",
}
@Proceedings{Birkhoff:1970:SNA,
editor = "G. Birkhoff and R. S. Varga",
booktitle = "Studies in Numerical Analysis, 2: Numerical Solutions
of Nonlinear Problems ({Symposia, SIAM, Philadelphia,
Pa., 21--23 October 1968})",
title = "Studies in Numerical Analysis, 2: Numerical Solutions
of Nonlinear Problems ({Symposia, SIAM, Philadelphia,
Pa., 21--23 October 1968})",
publisher = pub-SIAM,
address = pub-SIAM:adr,
pages = "143",
year = "1970",
LCCN = "QA297 .S95 1968",
bibdate = "Wed Apr 20 14:10:28 2022",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/birkhoff-garrett.bib;
https://www.math.utah.edu/pub/bibnet/authors/v/varga-richard-steven.bib",
acknowledgement = ack-nhfb,
editor-dates = "Garrett Birkhoff (19 January 1911--22 November 1996);
Richard S. Varga (8 October 1928--25 February 2022)",
xxeditor = "James M. Ortega and Werner C. Rheinboldt.",
}
@Proceedings{Birkhoff:1971:CAN,
editor = "Garrett Birkhoff and Marshall {Hall, Jr.}",
booktitle = "Computers in Algebra and Number Theory. {Proceedings}
of a symposium in applied mathematics of the {American
Mathematical Society and the Society for Industrial and
Applied Mathematics. Held in New York City, March
25--26, 1970}",
title = "Computers in Algebra and Number Theory. {Proceedings}
of a symposium in applied mathematics of the {American
Mathematical Society and the Society for Industrial and
Applied Mathematics. Held in New York City, March
25--26, 1970}",
publisher = pub-AMS,
address = pub-AMS:adr,
pages = "vii + 200",
year = "1971",
MRclass = "00B25 11-06 20-06 68-06 05-06",
bibdate = "Sun Oct 29 10:49:01 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/birkhoff-garrett.bib",
ZMnumber = "0236.00006",
acknowledgement = ack-nhfb,
editor-dates = "Garrett Birkhoff (19 January 1911--22 November 1996)",
ZBmath = "3373679",
}
@Proceedings{Tarwater:1977:BTA,
editor = "Dalton Tarwater",
booktitle = "The bicentennial tribute to {American} mathematics
1776--1976. {Papers} presented at the fifty-nineth
annual meeting of the {Mathematical Association of
America} commemorating the nation's bicentennial",
title = "The bicentennial tribute to {American} mathematics
1776--1976. {Papers} presented at the fifty-nineth
annual meeting of the {Mathematical Association of
America} commemorating the nation's bicentennial",
publisher = pub-MATH-ASSOC-AMER,
address = pub-MATH-ASSOC-AMER:adr,
pages = "vii + 225",
year = "1977",
MRclass = "01A60 01A50 01A55",
bibdate = "Sun Oct 29 10:49:01 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/birkhoff-garrett.bib;
https://www.math.utah.edu/pub/bibnet/authors/h/hamming-richard-w.bib;
https://www.math.utah.edu/pub/bibnet/authors/v/von-neumann-john.bib",
URL = "https://maa.org/sites/default/files/pdf/ABOUTMAA/History/Bicentennial_Tribute.pdf",
ZMnumber = "0377.01008",
acknowledgement = ack-nhfb,
author-dates = "Garrett Birkhoff (19 January 1911--22 November 1996);
Richard Wesley Hamming (1915--1998)",
tableofcontents = "Dalton Tarwater / Preface / v \\
Dirk J. Struik / Mathematics in Colonial America / 1
\\
Judith V. Grabiner / Mathematics in America: the First
Hundred Years / 9 \\
Garrett Birkhoff / Some Leaders in American
Mathematics: 1891--1941 / 25 \\
J. H. Ewing, W. H. Gustafson, P. R. Haimos, S. H.
Moolgavkar, W. H. Wheeler, and W. P. Ziemer / American
Mathematics From 1940 to the Day Before Yesterday / 79
\\
Mina S. Rees / Mathematics and the Government: the
Post-War Years as Augury of the Future / 101 \\
R. W. Hamming / The History Of Computing in the United
States / 117 \\
Peter D. Lax / The Bomb, Sputnik, Computers, and
European Mathematicians / 129 \\
Moderator: R. D. Larsson / Panel: Two-Year College
Mathematics in 1976 \\
Donald J. Albers / Trends in Two-Year College
Mathematics / 139 \\
Peter A. Lindstrom / Role and Status of Two-Year
College Faculty / 149 \\
Shelba Jean Morman / The Place of Teacher Education in
the Two-Year College / 153 \\
Moderator: R. H. McDowell / Panel: Mathematics in Our
Culture \\
Morris Kline / The Freshman Liberal Arts Course / 161
\\
R. A. Rosenbaum / The Vicious Versus / 169 \\
Moderator: C. V. Newsom / Panel: The Teaching of
Mathematics in College: a 1976 Perspective for the
Future \\
C. V. Newsom / Comments Made When Introducing the Panel
Discussion / 177 \\
I. N. Herstein / What Will Be Expected of the Good
College Mathematics Teacher? / 179 \\
Peter J. Hilton / What Experiences Should Be Provided
in Graduate School To Prepare the College Mathematics
Teacher? / 187 \\
Moderator: S. K. Stein / Panel: The Role of
Applications in The Teaching of Undergraduate
Mathematics \\
S. K. Stein / A Belated Reformation / 195 \\
A. B. Willcox / Applications to the Physical Sciences /
201 \\
Fred S. Roberts / DNA Counts, Pesticide Projections,
and Vehicular Vectors: Applications of Undergraduate
Mathematics / 209 \\
Index / 219",
ZBmath = "3586973",
}
@Proceedings{Metropolis:1980:HCT,
editor = "Nicholas Metropolis and Jack Howlett and Gian-Carlo
Rota",
booktitle = "A History of Computing in the {Twentieth Century}: a
Collection of Essays",
title = "A History of Computing in the {Twentieth Century}: a
Collection of Essays",
publisher = pub-ACADEMIC,
address = pub-ACADEMIC:adr,
pages = "xix + 659",
year = "1980",
DOI = "https://doi.org/10.1016/C2009-0-22029-0",
ISBN = "0-12-491650-3, 1-4832-9668-7 (e-book)",
ISBN-13 = "978-0-12-491650-0, 978-1-4832-9668-5 (e-book)",
LCCN = "QA75.5 .I63 1976",
bibdate = "Tue Aug 15 18:57:33 1995",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/bauer-friedrich-ludwig.bib;
https://www.math.utah.edu/pub/bibnet/authors/b/birkhoff-garrett.bib;
https://www.math.utah.edu/pub/bibnet/authors/d/dijkstra-edsger-w.bib;
https://www.math.utah.edu/pub/bibnet/authors/h/hamming-richard-w.bib;
https://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib;
https://www.math.utah.edu/pub/bibnet/authors/m/metropolis-nicholas.bib;
https://www.math.utah.edu/pub/bibnet/authors/r/rutishauser-heinz.bib;
https://www.math.utah.edu/pub/bibnet/authors/t/turing-alan-mathison.bib;
https://www.math.utah.edu/pub/bibnet/authors/u/ulam-stanislaw-m.bib;
https://www.math.utah.edu/pub/bibnet/authors/v/von-neumann-john.bib;
https://www.math.utah.edu/pub/bibnet/authors/w/wilkinson-james-hardy.bib;
https://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib;
https://www.math.utah.edu/pub/tex/bib/annhistcomput.bib",
note = "Original versions of these papers were presented at
the International Research Conference on the History of
Computing, held at the Los Alamos Scientific
Laboratory, 10--15 June 1976.",
abstract = "\booktitle{A History of Computing in the Twentieth
Century} focuses on the advancements in the processes,
methodologies, programs, and techniques in computing.
The selection first elaborates on computing
developments in Cambridge, U.S.A., pioneering work on
computers at Bletchley, and the COLOSSUS. Discussions
focus on secrecy and priority, the first COLOSSUS, MARK
II COLOSSUS, postwar developments in computing, and the
HEATH ROBINSON project. The text then ponders on
Turing's work at the National Physical Laboratory and
the construction of Pilot ACE, DEUCE, and ACE, the
Smithsonian Computer History Project, and programming
in America. Topics include origins of FORTRAN,
optimization techniques in FORTRAN, DEUCE computer, and
the Pilot ACE. The book takes a look at the development
of programming in the USSR, advancement of programming
languages, and reflections on the evolution of
algorithmic language. The book also examines the
computer development at Manchester University, the
sieve process, MANIAC project, and the ENIAC project.
The selection is a valuable reference for computer
science experts and researchers interested in the
development of computing.",
acknowledgement = ack-nhfb,
author-dates = "Friedrich (``Fritz'') Ludwig Bauer (10 June 1924--26
March 2015)",
remark = "This book contains the edited versions of the papers
presented at the international research Conference on
the History of Computing, held at the Los Alamos
Scientific Laboratory, 10--15 June 1976. The book
provides an account of the development of the first
large-scale computers in the first half of the
twentieth century. Each chapter describes one phase of
the development and is written by either a participant
or a witness to these events. The treatment is
narrative and factual and is meant to give a first
exposition of the res gestae. The Exposition is
accessible to anyone interested in the subject and
requires no technical background.",
tableofcontents = "Contributors / / ii--ii \\
Front Matter / / iii--iii \\
Copyright / / iv--iv \\
Dedication [to John R. Pasta] / / v--v \\
List of Contributors / / xi--xiii \\
Preface / / xv--xvii \\
Acknowledgments / / xviii--xviii \\
Introductory Essay / N. Metropolis and Gian-Carlo Rota
/ xix--xx \\
Part I. Introduction \\
We would know what they thought when they did it / R.
W. Hamming / 3--9 \\
Historiography: a perspective for computer scientists /
Kenneth O. May / 11--18 \\
Part II. The human side \\
Computer developments 1935--1955, as seen from
Cambridge, U.S.A. / Garrett Birkhoff / 21--30 \\
Pioneering work on computers at Bletchley / I. J. Good
/ 31--45 \\
The COLOSSUS / B. Randell / 47--92 \\
Von Neumann: the interaction of mathematics and
computing / S. M. Ulam / 93--99 \\
Turing's work at the National Physical Laboratory and
the construction of Pilot ACE, DEUCE, and ACE / J. H.
Wilkinson / 101--114 \\
The Smithsonian computer history project and some
personal recollections / Henry S. Tropp / 115--122 \\
Part III. The languages \\
Programming in America in the 1950s: some personal
impressions / John Backus / 125--135 \\
The early development of programming in the USSR /
Andrei P. Ershov and Mikhail R. Shura-Bura / 137--196
\\
The early development of programming languages / Donald
E. Knuth and Luis Trabb Pardo / 197--273 \\
Reflections on the evolution of algorithmic language /
Mark B. Wells / 275--287 \\
Part IV. The machines \\
Computer development at the Institute for Advanced
Study / Julian Bigelow / 291--310 \\
From ENIAC to the stored-program computer: two
revolutions in computers / Arthur W. Burks / 311--344
\\
Computer development at Argonne National Laboratory /
J. C. Chu / 345--346 \\
The ORDVAC and the ILLIAC / James E. Robertson \\
WHIRLWIND / Robert R. Everett // 347--364 \\
Reminiscences of Oak Ridge / A. S. Householder /
385--388 \\
Computer development at IBM / Cuthbert C. Hurd /
389--418 \\
The SWAC: the National Bureau of Weather Standards
Western Automatic Computer / Harry D. Huskey / 419--431
\\
Computer development at Manchester University / S. H.
Lavington / 433--443 \\
A history of the sieve process / D. H. Lehmer /
445--456 \\
The MANIAC / N. Metropolis / 457--464 \\
Early research on computers at RCA / Jan Rajchman /
465--469 \\
Memories of the Bureau of Standards' SEAC / Ralph J.
Slutz / 471--477 \\
Early computers / George R. Stibitz / 479--483 \\
The start of an ERA: Engineering Research Associates,
Inc., 1946--1955 / Erwin Tomash / 485--495 \\
Early programming development in Cambridge / M. V.
Wilkes / 497--501 \\
Part V. The places \\
Between Zuse and Rutishauser: the early development of
digital computing in central Europe / Friedrich L.
Bauer / 505--524 \\
The ENIAC / J. Presper Eckert, Jr. / 525--539 \\
The ENIAC / John W. Mauchly / 541--550 \\
Computers in the University of London, 1945--1962 /
Andrew D. Booth / 551--561 \\
A programmer's early memories / Edsger W. Dijkstra /
563--573 \\
Early history of computing in Japan / Ryota Suekane /
575--578 \\
From mechanical linkages to electronic computers:
recollections from Czechoslovakia / Antonin Svoboda /
579--586 \\
Central European prehistory of computing / H. Zemanek /
587--609 \\
Some remarks on the history of computing in Germany /
Konrad Zuse / 611--627 \\
The origins of digital computers: supplementary
bibliography / B. Randell // 629--659 \\
General Index / / 661--683 \\
Index of Claimed Firsts and Inventions / 684--685 \\
Index of Names / 686--693",
}
@Proceedings{Schultz:1981:EPS,
editor = "Martin H. Schultz",
booktitle = "Elliptic Problem Solvers: {Proceedings of the Elliptic
Problem Solvers Conference held in Santa Fe, NM, June
30--July 2, 1980}",
title = "Elliptic Problem Solvers: {Proceedings of the Elliptic
Problem Solvers Conference held in Santa Fe, NM, June
30--July 2, 1980}",
publisher = pub-ACADEMIC,
address = pub-ACADEMIC:adr,
pages = "xiii + 444",
year = "1981",
ISBN = "0-12-632620-7",
ISBN-13 = "978-0-12-632620-8",
LCCN = "QA377 .E53 1980",
bibdate = "Sun Oct 29 07:13:20 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/birkhoff-garrett.bib",
acknowledgement = ack-nhfb,
}
@Proceedings{Birkhoff:1984:EPS,
editor = "Garrett Birkhoff and Arthur L. Schoenstadt",
booktitle = "Elliptic Problem Solvers, {II} {(Proceedings of the
Elliptic Problem Solvers Conference, sponsored by the
Mathematics and Mechanics Branch, Office of Naval
Research, held in Monterey, California, January 10--12,
1983)}",
title = "Elliptic Problem Solvers, {II} {(Proceedings of the
Elliptic Problem Solvers Conference, sponsored by the
Mathematics and Mechanics Branch, Office of Naval
Research, held in Monterey, California, January 10--12,
1983)}",
publisher = pub-ACADEMIC,
address = pub-ACADEMIC:adr,
pages = "xiii + 573",
year = "1984",
ISBN = "0-12-100560-7",
ISBN-13 = "978-0-12-100560-3",
LCCN = "QA377 .E533 1983",
MRclass = "00B25 65-06 (65Nxx) 35-06",
MRnumber = "764219 (85g:65007)",
bibdate = "Wed Apr 20 14:10:28 2022",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/birkhoff-garrett.bib;
https://www.math.utah.edu/pub/bibnet/authors/c/coughran-william-m.bib;
https://www.math.utah.edu/pub/bibnet/authors/k/kincaid-david-r.bib;
https://www.math.utah.edu/pub/bibnet/authors/r/rice-john-r.bib;
https://www.math.utah.edu/pub/bibnet/authors/v/varga-richard-steven.bib;
https://www.math.utah.edu/pub/bibnet/authors/y/young-david-m.bib;
https://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib",
ZMnumber = "0557.00009",
acknowledgement = ack-nhfb,
author-dates = "David M. Young, Jr. (October 20, 1923--December 21,
2008); Garrett Birkhoff (19 January 1911--22 November
1996); Richard S. Varga (8 October 1928--25 February
2022)",
editor-dates = "Garrett Birkhoff (19 January 1911--22 November 1996)",
subject = "differential equations, elliptic; numerical solutions;
congresses",
tableofcontents = "John R. Rice / Building elliptic problem solvers
with ELLPACK / 3--22 \\
D. Begis and F. Hecht and I. Vidrascu / Presentation
and Evolution of the Club Modulef: a Library of
Computer Procedures for Finite Element Analysis /
23--34 \\
Ronald F. Boisvert / A Fourth Order Accurate Fast
Direct Method for the Helmholtz Equation / 35--44 \\
Stanley C. Eisenstat and Howard C. Elman and Martin H.
Schultz and Andrew H. Sherman / The (New) Yale Sparse
Matrix Package / 45--52 \\
David R. Kincaid and David M. Young / The ITPACK
Project: Past, Present, and Future / 53--63 \\
Wlodzimierz Proskurowski / CMMPAK --- The Capacitance
Matrix Software Package / 65--76 \\
Martin H. Schultz / Solving Elliptic Problems on an
Array Processor System / 77--92 \\
Dennis Gannon and John Van Rosendale / Parallel
Architectures for Iterative Methods on Adaptive, Block
Structured Grids / 93--104 \\
Lennart Johnsson / Highly Concurrent Algorithms for
Solving Linear Systems of Equations / 105--126 \\
Thomas L. Jordan / Conjugate Gradient Preconditioners
for Vector and Parallel Processors / 127--140 \\
H. T. Kung and W. T. Lin / An Algebra for Systolic
Computation / 141--160 \\
Edna Reiter and Garry Rodrigue / An Incomplete-Cholesky
Factorization by a Matrix Partition Algorithm /
161--174 \\
A. H. Sameh / A Fast Poisson Solver for Multiprocessors
/ 175--186 \\
Robert Schreiber / Systolic Arrays: High Performance
Parallel Machines for Matrix Computation / 187--196 \\
Richard S. Varga / A Survey of Recent Results on
Iterative Methods for Solving Large Sparse Linear
Systems / 197--218 \\
O. Axelsson / Numerical Algorithms for Indefinite
Problems / 219--232 \\
Alvin Bayliss and Charles I. Goldstein and Eli
T{\"u}rkei / Preconditioned Conjugate Gradient Methods
For The Helmholtz Equation / 233--244 \\
Petter E. Bj{\o}rstad and Olof B. Widlund / Solving
Elliptic Problems on Regions Partitioned into
Substructures / 245--256 \\
L. W. Ehrlich / The Ad-Hoc SOR Method: a Local
Relaxation Scheme / 257--270 \\
Howard C. Elman / Iterative Methods For
Non-Self-Adjoint Elliptic Problems / 271--284 \\
David J. Evans / Implicit Block Explicit Overrelaxation
Schemes / 285--300 \\
James M. Hyman and Thomas A. Manteuffel / Dynamic
Acceleration of Nonlinear Iterations / 301--314 \\
Eugene L. Wachspress / Navier--Stokes Pressure Equation
Iteration / 315--322 \\
David M. Young and Kang C. Jea and David R. Kincaid /
Accelerating nonsymmetrizable iterative methods /
323--342 \\
[pages 343--344 missing] \\
Ivo Babu{\v{s}}ka and Werner C. Rheinboldt / Adaptive
Finite Element Processes in Structural Mechanics /
345--377 \\
[page 378 missing] \\
George J. Fix / Finite Element Approximations To
Compressible Flow Problems / 379--393 \\
[page 394 missing] \\
Q. V. Dihn and R. Glowinski and J. P{\`e}riaux /
Solving Elliptic Problems by Domain Decomposition
Methods with Applications / 395--426 \\
G. Birkhoff and John F. Brophy and R. E. Lynch /
Computing Added Mass Coefficients / 427--437 \\
[page 438 missing] \\
Joel E. Dendy, Jr. / A Priori Local Grid Refinement in
the Multigrid Method / 439--451 \\
[page 452 missing] \\
Craig C. Douglas / Abstract Multi-Grid with
Applications to Elliptic Boundary-Value Problems /
453--466 \\
Wayne R. Dyksen and John R. Rice / A new ordering
scheme for the Hermite bicubic collocation equations /
467--480 \\
Kelton Flinn and Lois Mansfield / Solution Methods for
the Finite Element Equations in Nonlinear Shell
Analysis / 481--490 \\
[pages 491--492 missing] \\
Randolph E. Bank and Donald J. Rose / Discretization
and Multilevel Solution Techniques for Nonlinear
Elliptic Systems / 493--505 \\
[page 506 missing] \\
Joseph W. Jerome / Analysis of Nonlinear Elliptic
Systems Arising in Reaction\slash Diffusion Modeling /
507--520 \\
James L. Blue and Charles L. Wilson / Numerical Methods
for Solving Coupled Semiconductor Equations on a
Minicomputer / 521--530 \\
P. E. Bj{\o}rstad and W. M. Coughran, Jr. and H. S.
Greenside and D. J. Rose and N. L. Schryer / Numerical
Solution of a Model Equation Near the Onset of the
Rayleigh--B{\`e}nard Instability / 531--543 \\
[page 544 missing] \\
E. C. Gartland, Jr. / Approximation of a Nonsymmetric,
Singularly Perturbed Problem / 545--56? \\
[article contents pages lost between 565 and 566] \\
Mitchell D. Smooke / Confined Laminar Diffusion Flame /
???--568 \\
Index / 569--573",
ZBmath = "3887614",
}
@Book{Rota:1987:SPA,
editor = "Gian-Carlo Rota and Joseph S. Oliveira",
booktitle = "Selected Papers on Algebra and Topology by {Garrett
Birkhoff}",
title = "Selected Papers on Algebra and Topology by {Garrett
Birkhoff}",
publisher = pub-BIRKHAUSER,
address = pub-BIRKHAUSER:adr,
pages = "xvii + 608",
year = "1987",
ISBN = "0-8176-3114-3 (Boston), 3-7643-3114-3 (Basel)",
ISBN-13 = "978-0-8176-3114-7 (Boston), 978-3-7643-3114-6
(Basel)",
LCCN = "QA251 .B4972 1987",
MRclass = "01A75 (00A10) 01A60 54-03 08-03 06-03 17-03 22-03",
MRnumber = "895820",
MRreviewer = "Manfred Stern",
bibdate = "Sun Oct 22 09:59:52 2023",
bibsource = "fsz3950.oclc.org:210/WorldCat;
https://www.math.utah.edu/pub/bibnet/authors/b/birkhoff-garrett.bib",
series = "Contemporary Mathematicians",
ZMnumber = "0624.01025",
acknowledgement = ack-nhfb,
author-dates = "Garrett Birkhoff (19 January 1911--22 November 1996)",
remark = "Reprint of \cite{Rota:1986:SPA}.",
subject = "Algebra, Universal; Topology; Lattice theory;
Alg{\`e}bre universelle; Topologie; Th{\'e}orie des
treillis; Verbandstheorie",
tableofcontents = "[Numbers in brackets refer to the Bibliography of
Garrett Birkhoff's Books and Papers. 1933--1986, on
pages ix--xv] \\
Preface (Garrett Birkhoff) / v \\
Bibliography of Garrett Birkhoff's Books and Papers,
1933--1986 / ix \\
Ph.D. Students of Garrett Birkhoff / xvii \\
I. Lattices / 1 \\
[3] On the Combination of Subalgebras / 9 \\
[3a] Note on the Paper ``On the Combination of
Subalgebras'' / 33 \\
[4] Applications of Lattice Algebra / 35 \\
[6] On the Lattice Theory of Ideals / 43 \\
[7] Ideals in Algebraic Rings / 51 \\
[12] Combinatorial Relations in Projective Geometries /
55 \\
[16] Abstract Linear Dependence and Lattices / 62 \\
[21] The Logic of Quantum Mechanics (with J. von
Neumann) / 67 \\
[36] A Characterization of Boolean Algebras (with M.
Ward) / 89 \\
[40] Neutral Elements in General Lattices / 92 \\
[51] Distributive Postulates for Systems Like Boolean
Algebras (with G. D. Birkhoff) / 97 \\
[54] A Ternary Operation in Distributive Lattices (with
S. A. Kiss) / 107 \\
II. Universal Algebra / 111 \\
[15] On the Structure of Abstract Algebras / 117 \\
[47] Subdirect Unions in Universal Algebra / 140 \\
[49] Universal Algebra / 146 \\
[154] Heterogeneous Algebras (with J. D. Lipson) / 163
\\
[174] Universal Algebra and Automata (with J. D.
Lipson) / 183 \\
[179] Note on Universal Topological Algebra / 195 \\
III. Topology / 199 \\
[8] The Topology of Transformation-Sets / 203 \\
[24] Moore--Smith Convergence in General Topology / 219
\\
[25] The Meaning of Completeness / 237 \\
[28] An Extended Arithmetic / 241 \\
[29] Rings of Sets / 247 \\
[43] Generalized Arithmetic / 259 \\
[58] Representations of Lattices by Sets (with O.
Frink, Jr.) / 279 \\
[118] A New Interval Topology for Dually Directed Sets
/ 297 \\
IV. Lie Groups and Lie Algebras / 305 \\
[19] On the Order of Groups of Automorphisms (with P.
Hall) / 308 \\
[20] A Note on Topological Groups / 313 \\
[22] Lie Groups Simply Isomorphic with No Linear Group
/ 317 \\
[26] Continuous Groups and Linear Spaces / 323 \\
[27] Representability of Lie Algebras and Lie Groups by
Matrices / 332 \\
[32] Analytical Groups / 339 \\
[60] Representation of Jordan and Lie Algebras (with P.
M. Whitman) / 380 \\
V. Lattice-Ordered Algebraic Structures / 401 \\
[33] Dependent Probabilities and Spaces (L) / 406 \\
[42] Lattice-Ordered Groups / 412 \\
[48] Lattice-Ordered Lie Groups / 447 \\
[91] Lattice-Ordered Rings (with R. S. Pierce) / 457
\\
VI. History of Algebra / 487 \\
[160] Current Trends in Algebra / 490 \\
[169] The Role of Modern Algebra in Computing / 513 \\
[182a] The Rise of Modern Algebra to 1936 / 561 \\
[182b] The Rise of Modern Algebra, 1936 to 1950 / 585
\\
Permissions / 607",
ZBmath = "4012557",
}
@Book{Nash:1990:HSC,
editor = "Stephen G. Nash",
booktitle = "A History of Scientific Computing",
title = "A History of Scientific Computing",
publisher = pub-AW # " and " # pub-ACM,
address = pub-AW # " and " # pub-ACM:adr,
pages = "xix + 359",
year = "1990",
ISBN = "0-201-50814-1",
ISBN-13 = "978-0-201-50814-7",
LCCN = "QA76.17 .H59 1990",
bibdate = "Wed Dec 15 10:39:57 1993",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/birkhoff-garrett.bib;
https://www.math.utah.edu/pub/bibnet/authors/f/forsythe-george-elmer.bib;
https://www.math.utah.edu/pub/bibnet/authors/f/fox-leslie.bib;
https://www.math.utah.edu/pub/bibnet/authors/g/gear-c-w.bib;
https://www.math.utah.edu/pub/bibnet/authors/h/hartree-douglas-r.bib;
https://www.math.utah.edu/pub/bibnet/authors/h/hestenes-magnus-r.bib;
https://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib;
https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib;;
https://www.math.utah.edu/pub/bibnet/authors/m/metropolis-nicholas.bib;
https://www.math.utah.edu/pub/bibnet/authors/p/parlett-beresford-n.bib;
https://www.math.utah.edu/pub/bibnet/authors/r/rice-john-r.bib;
https://www.math.utah.edu/pub/bibnet/authors/t/todd-john.bib;
https://www.math.utah.edu/pub/bibnet/authors/t/tukey-john-w.bib;
https://www.math.utah.edu/pub/bibnet/authors/v/varga-richard-steven.bib;
https://www.math.utah.edu/pub/bibnet/authors/y/young-david-m.bib;
https://www.math.utah.edu/pub/bibnet/authors/w/wilkinson-james-hardy.bib;
https://www.math.utah.edu/pub/tex/bib/master.bib;
https://www.math.utah.edu/pub/tex/bib/numana1990.bib;
z3950.loc.gov:7090/Voyager",
series = "ACM Press history series",
acknowledgement = ack-nhfb,
author-dates = "Charles William ``Bill'' Gear (1 February 1935--15
March 2022); Garrett Birkhoff (19 January 1911--22
November 1996); Magnus Rudolph Hestenes (13 February
1906--31 May 1991)",
remark = "Based on papers presented at the Conference on the
History of Scientific and Numeric Computation, held in
Princeton, NJ, 1987. A few brief mentions of Alston
Householder are indexed in the book, with photographs
of him on pages xvi and 344.",
subject = "Electronic data processing; History; Science; Data
processing",
tableofcontents = "Remembrance of things past / Herman H. Goldstine /
5--16 \\
The contribution of J. H. Wilkinson to numerical
analysis / B. N. Parlett / 17--30 \\
The influence of George Forsythe and his students /
James Varah / 31--40 \\
Howard H. Aiken and the computer / I. Bernard Cohen /
41--52 \\
Particles in their self-consistent field: from
Hartree's differential analyzer to Cray machines /
Oscar Buneman / 57--62 \\
Fluid dynamics, reactor computations, and surface
representation / Garrett Birkhoff / 63--87 \\
The development of ODE methods: a symbiosis between
hardware and numerical analysis / C. W. Gear and R. D.
Skeel / 88--105 \\
A personal retrospection of reservoir simulation /
Donald W. Peaceman / 106--129 \\
How the FFT gained acceptance / James W. Cooley /
133--140 \\
Origins of the simplex method / George B. Dantzig /
141--151 \\
Historical comments on finite elements / J. Tinsley
Oden / 152--166 \\
Conjugacy and gradients / Magnus R. Hestenes / 167--179
\\
A historical review of iterative methods / David M.
Young / 180--194 \\
Shaping the evolution of numerical analysis in the
computer age: the SIAM thrust / I. Edward Block /
199--205 \\
Reminiscences on the University of Michigan summer
schools, the Gatlinburg Symposia, and Numerische
Mathematik / Richard S. Varga / 206--210 \\
The origin of mathematics of computation and some
personal recollections / Eugene Isaacson / 211--216 \\
Mathematical software and ACM publications / John R.
Rice / 217--227 \\
BIT --- a child of the computer / Carl-Erik Fr{\"o}berg
/ 228--233 \\
The Los Alamos experience, 1943--1954 / N. Metropolis /
237--250 \\
The prehistory and early history of computation at the
U.S. National Bureau of Standards / John Todd /
251--268 \\
Programmed computing at the Universities of Cambridge
and Illinois in the early fifties / David J. Wheeler /
269--279 \\
Early numerical analysis in the United Kingdom / L. Fox
/ 280--300 \\
The pioneer days of scientific computing in Switzerland
/ Martin H. Gutknecht / 301--313 \\
The development of computational mathematics in
Czechoslovakia and the USSR / I. Babuska / 314--328 \\
The contribution of Leningrad mathematicians to the
development of numerical linear algebra, 1950--1986 /
V. N. Kublanovskaya / 329--338",
}