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Bulletin of the American Mathematical Society

The Bulletin publishes expository articles on contemporary mathematical research, written in a way that gives insight to mathematicians who may not be experts in the particular topic. The Bulletin also publishes reviews of selected books in mathematics and short articles in the Mathematical Perspectives section, both by invitation only.

ISSN 1088-9485 (online) ISSN 0273-0979 (print)

The 2020 MCQ for Bulletin of the American Mathematical Society is 0.84.

What is MCQ? The Mathematical Citation Quotient (MCQ) measures journal impact by looking at citations over a five-year period. Subscribers to MathSciNet may click through for more detailed information.

 

Contents of Volume 37, Number 1
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Introductory comments
Donald G. Saari PDF
Bull. Amer. Math. Soc. 37 (2000), 1-2
Mathematical progress in America
Thomas S. Fiske PDF
Bull. Amer. Math. Soc. 37 (2000), 3-8
The history of mathematics in the nineteenth century
James Pierpont PDF
Bull. Amer. Math. Soc. 37 (2000), 9-24
The present and the future of mathematical physics
H. Poincaré PDF
Bull. Amer. Math. Soc. 37 (2000), 25-38
Elementary derivation of the equivalence of mass and energy
Albert Einstein PDF
Bull. Amer. Math. Soc. 37 (2000), 39-44
Current tendencies of mathematical research
Edward B. Van Vleck PDF
Bull. Amer. Math. Soc. 37 (2000), 45-53
Intuitionism and formalism
L. E. J. Brouwer PDF
Bull. Amer. Math. Soc. 37 (2000), 55-64
A mathematical critique of some physical theories
G. D. Birkhoff PDF
Bull. Amer. Math. Soc. 37 (2000), 65-74
Editor’s Introduction
Bhama Srinivasan PDF
Bull. Amer. Math. Soc. 37 (2000), 75-75

Book Reviews
Book reviews do not contain an abstract. You may download each review in this issue using the links below.

Poincaré's review of Hilbert's Foundations of geometry, by David Hilbert.
Reviewer: H. Poincaré
Review information PDF
Bull. Amer. Math. Soc. 37 (2000), 77-78
Vorlesungen über continuirliche Gruppen mit geometrischen und anderen Anwendungen, by Sophus Lie.
Reviewer: J. M. Brooks
Review information PDF
Bull. Amer. Math. Soc. 37 (2000), 78-79
Gesammelte Abhandlungen, by Sophus Lie.
Reviewer: R. D. Carmichael
Review information PDF
Bull. Amer. Math. Soc. 37 (2000), 79-80
Theory of groups of a finite order, by W. Burnside, M.A., F.R.S., Professor of Mathematics at the Royal Naval College, Greenwich.
Reviewer: G. A. Miller
Review information PDF
Bull. Amer. Math. Soc. 37 (2000), 80-81
Cours d'analyse mathématique, by Édouard Goursat, Professeur à la Faculté des Sciences de Paris.
Reviewer: W. F. Osgood
Review information PDF
Bull. Amer. Math. Soc. 37 (2000), 81-82
Festschrift zur Feier des 100 Geburtstages Eduard Kummers mit Briefen an seine Mutter und an Leopold Kronecker.
Reviewer: L. E. Dickson
Review information PDF
Bull. Amer. Math. Soc. 37 (2000), 82-83
Lehrbuch der Funktionentheorie, by Dr. W. F. Osgood.
Reviewer: E. B. Van Vleck
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Bull. Amer. Math. Soc. 37 (2000), 83-84
Three lectures on Fermat's last theorem, by L. J. Mordell.
Reviewer: G. E. Wahlin
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Bull. Amer. Math. Soc. 37 (2000), 84-85
The Cambridge Colloquium, 1916, Part II. Analysis Situs, by Oswald Veblen.
Reviewer: S. Lefschetz
Review information PDF
Bull. Amer. Math. Soc. 37 (2000), 85-86
Vorlesungen über Zahlentheorie, by Edmund Landau.
Reviewer: G. D. Birkhoff
Review information PDF
Bull. Amer. Math. Soc. 37 (2000), 86
Leçons sur l'intégration et la recherche des fonctions primitives, second edition, by H. Lebesgue.
Reviewer: T. H. Hildebrandt
Review information PDF
Bull. Amer. Math. Soc. 37 (2000), 87
Dynamical systems, by G. D. Birkhoff.
Reviewer: B. O. Koopman
Review information PDF
Bull. Amer. Math. Soc. 37 (2000), 88
Moderne algebra, by B. L. van der Waerden.
Reviewer: O. Ore
Review information PDF
Bull. Amer. Math. Soc. 37 (2000), 89
Einfachste Grundbegriffe der Topologie, by with an introduction by David Hilbert Paul Alexandroff.
Einführung in die kombinatorische Topologie, by Kurt Reidemeister.
Knotentheorie (vol. 1 of the Ergebnisse der Mathematik und ihrer Grenzgebiete), by K. Reidemeister.
Reviewer: P. A. Smith
Review information PDF
Bull. Amer. Math. Soc. 37 (2000), 90-91
Grundbegriffe der Wahrscheinlichkeitsrechnung, by A. Kolmogoroff.
Reviewer: H. L. Rietz
Review information PDF
Bull. Amer. Math. Soc. 37 (2000), 91-92
Vorlesungen über die Theorie der Polyeder unter Einschluss der Elemente der Topologie, by Ernst Steinitz; edited and completed by Hans Rademacher.
Lehrbuch der Topologie, by H. Seifert and W. Threlfall.
Reviewer: A. W. Tucker
Review information PDF
Bull. Amer. Math. Soc. 37 (2000), 92-93
Topologie I, by Paul Alexandroff and Heinz Hopf.
Reviewer: A. W. Tucker
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Bull. Amer. Math. Soc. 37 (2000), 93-94
Algebraic surfaces, by Oscar Zariski.
Reviewer: Solomon Lefschetz
Review information PDF
Bull. Amer. Math. Soc. 37 (2000), 94-95
Trigonometric series, by Antoni Zygmund.
Reviewer: J. D. Tamarkin
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Bull. Amer. Math. Soc. 37 (2000), 95-96
Trigonometric series, by A. Zygmund.
Reviewer: R. Salem
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Bull. Amer. Math. Soc. 37 (2000), 96
La théorie des groupes finis et continus et la géométrie différentielle traitées par méthode du repère mobile, by Élie Cartan.
Reviewer: Hermann Weyl
Review information PDF
Bull. Amer. Math. Soc. 37 (2000), 96-97
Methoden der mathematischen Physik, Vol. 2, by R. Courant and D. Hilbert.
Reviewer: Hermann Weyl
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Bull. Amer. Math. Soc. 37 (2000), 97-98
An introduction to the theory of numbers, by G. H. Hardy and E. M. Wright.
Reviewer: E. T. Bell
Review information PDF
Bull. Amer. Math. Soc. 37 (2000), 99
The theory of group representations, by Francis D. Murnaghan.
Reviewer: R. Brauer
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Bull. Amer. Math. Soc. 37 (2000), 100-101
The classical groups, by Hermann Weyl.
Reviewer: N. Jacobson
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Bull. Amer. Math. Soc. 37 (2000), 100
The theory and applications of harmonic integrals, by W. V. D. Hodge.
Reviewer: D. J. Struik
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Bull. Amer. Math. Soc. 37 (2000), 102
Consistency of the axiom of choice and of the generalized continuum-hypothesis with the axioms of set theory, by Kurt Gödel.
Reviewer: C. C. Torrance
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Bull. Amer. Math. Soc. 37 (2000), 102
Introduction to the theory of algebraic functions of one variable, by C. Chevalley.
Reviewer: A. Weil
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Bull. Amer. Math. Soc. 37 (2000), 103-105
Theory of games and economic behavior, by John von Neumann and Oskar Morgenstern.
Reviewer: A. H. Copeland
Review information PDF
Bull. Amer. Math. Soc. 37 (2000), 103
The theory of Lie groups, I, by Claude Chevalley.
Reviewer: P. A. Smith
Review information PDF
Bull. Amer. Math. Soc. 37 (2000), 105
Foundations of algebraic geometry, by André Weil.
Reviewer: Oscar Zariski
Review information PDF
Bull. Amer. Math. Soc. 37 (2000), 106-107
Regular polytopes, by H. S. M. Coxeter.
Reviewer: C. B. Allendoerfer
Review information PDF
Bull. Amer. Math. Soc. 37 (2000), 107-108
Funktionentheorie, by C. Carathéodory.
Reviewer: Maurice Heins
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Bull. Amer. Math. Soc. 37 (2000), 108-109
An introduction to probability theory and its applications, Vol. I, by William Feller.
Reviewer: J. Wolfowitz
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Bull. Amer. Math. Soc. 37 (2000), 109-110
The theory of the Riemann zeta-function, by E. C. Titchmarsh.
Reviewer: N. Levinson
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Bull. Amer. Math. Soc. 37 (2000), 110
Complex analysis, by L. V. Ahlfors.
Reviewer: A. C. Schaeffer
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Bull. Amer. Math. Soc. 37 (2000), 111
Leçons d'analyse functionelle, by F. Riesz and B. Sz.-Nagy.
Reviewer: E. R. Lorch
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Bull. Amer. Math. Soc. 37 (2000), 111-112
Éléments de mathématique, by N. Bourbaki.
Reviewer: E. Artin
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Bull. Amer. Math. Soc. 37 (2000), 112-113
Homological algebra, by Henri Cartan and Samuel Eilenberg.
Reviewer: S. Mac Lane
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Bull. Amer. Math. Soc. 37 (2000), 113-114
Foundations of algebraic topology, by S. Eilenberg and N. Steenrod.
Reviewer: E. H. Spanier
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Bull. Amer. Math. Soc. 37 (2000), 114-115
Éléments de géométrie algébrique, by A. Grothendieck.
Reviewer: S. Lang
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Bull. Amer. Math. Soc. 37 (2000), 115-116
Homology, by Saunders Mac Lane.
Reviewer: David A. Buchsbaum
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Bull. Amer. Math. Soc. 37 (2000), 117
Linear operators. Part II. Spectral theory, by with the assistance of William G. Bade and Robert G. Bartle Nelson Dunford and Jacob T. Schwartz.
Reviewer: Gian-Carlo Rota
Review information PDF
Bull. Amer. Math. Soc. 37 (2000), 118