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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 39, Number 4
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Ranks of elliptic curves
Karl Rubin and Alice Silverberg PDF
Bull. Amer. Math. Soc. 39 (2002), 455-474
A century of complex Tauberian theory
J. Korevaar PDF
Bull. Amer. Math. Soc. 39 (2002), 475-531
From deep holes to free planes
Chuanming Zong PDF
Bull. Amer. Math. Soc. 39 (2002), 533-555
Erratum to “Dynamical systems and semisimple groups, an introduction”
Scot Adams PDF
Bull. Amer. Math. Soc. 39 (2002), 593-593

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

$p$-Adic $L$-functions and $p$-adic representations, by Bernadette Perrin-Riou.
Reviewer: Karl Rubin
Review information PDF
Bull. Amer. Math. Soc. 39 (2002), 557-562
Geometry: Euclid and beyond, by Robin Hartshorne.
Reviewer: David W. Henderson
Review information PDF
Bull. Amer. Math. Soc. 39 (2002), 563-571
Stable groups, by Bruno Poizat.
Reviewer: Thomas Scanlon
Review information PDF
Bull. Amer. Math. Soc. 39 (2002), 573-579
Isoperimetric inequalities: Differential geometric and analytic perspectives, by Isaac Chavel.
Reviewer: Robert Brooks
Review information PDF
Bull. Amer. Math. Soc. 39 (2002), 581-584
Vertex algebras and algebraic curves, by Edward Frenkel and David Ben-Zvi.
Reviewer: Yi-Zhi Huang
Review information PDF
Bull. Amer. Math. Soc. 39 (2002), 585-591