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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 2024 MCQ for Bulletin of the American Mathematical Society is 0.84.

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Contents of Volume 40, Number 1
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View front and back matter from the print issue

Editor’s Comment
Donald G. Saari PDF
Bull. Amer. Math. Soc. 40 (2003), 1-1
Complex adaptive systems: Exploring the known, the unknown and the unknowable
Simon A. Levin PDF
Bull. Amer. Math. Soc. 40 (2003), 3-19
Physical law and the quest for mathematical understanding
Edward Witten PDF
Bull. Amer. Math. Soc. 40 (2003), 21-29
Topological quantum computation
Michael H. Freedman, Alexei Kitaev, Michael J. Larsen and Zhenghan Wang PDF
Bull. Amer. Math. Soc. 40 (2003), 31-38
The principle of functoriality
James Arthur PDF
Bull. Amer. Math. Soc. 40 (2003), 39-53
Recent progress in algebraic combinatorics
Richard P. Stanley PDF
Bull. Amer. Math. Soc. 40 (2003), 55-68
Some mathematical challenges in materials science
Jean E. Taylor PDF
Bull. Amer. Math. Soc. 40 (2003), 69-87
Stochastic analysis and applications
S. R. S. Varadhan PDF
Bull. Amer. Math. Soc. 40 (2003), 89-97

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

Global solutions of nonlinear Schrödinger equations, by J. Bourgain.
Reviewer: Gigliola Staffilani
Review information PDF
Bull. Amer. Math. Soc. 40 (2003), 99-107
Sieves in number theory, by George Greaves.
Reviewer: Heini Halberstam
Review information PDF
Bull. Amer. Math. Soc. 40 (2003), 109-119
Constant mean curvature surfaces, harmonic maps and integrable systems, by Frédéric Hélein.
Reviewer: Robert M. Hardt
Review information PDF
Bull. Amer. Math. Soc. 40 (2003), 121-123
The search for mathematical roots, 1870-1940: Logics, set theories, and the foundations of mathematics from Cantor through Russell to Gödel, by I. Grattan-Guinness.
Reviewer: William Ewald
Review information PDF
Bull. Amer. Math. Soc. 40 (2003), 125-129
Selected papers of S. A. Amitsur with commentary, edited by Avinoam Mann, Amitai Regev, Louis Rowen, David J. Saltman and Lance W. Small (eds.).
Reviewer: Edward Formanek
Review information PDF
Bull. Amer. Math. Soc. 40 (2003), 131-135
Spherical inversion on $\operatorname{Sl}(n,\mathbb{R})$, by Jay Jorgenson and Serge Lang.
Reviewer: Bernhard Krötz
Review information PDF
Bull. Amer. Math. Soc. 40 (2003), 137-142
A new kind of science, by Stephen Wolfram.
Reviewer: Steven G. Krantz
Review information PDF
Bull. Amer. Math. Soc. 40 (2003), 143-150
Abstract root subgroups and simple groups of Lie-type, by Franz Georg Timmesfeld.
Reviewer: Richard Weiss
Review information PDF
Bull. Amer. Math. Soc. 40 (2003), 151-154