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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 42, Number 2
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What is motivic measure?
Thomas C. Hales PDF
Bull. Amer. Math. Soc. 42 (2005), 119-135
Continued fractions and modular functions
W. Duke PDF
Bull. Amer. Math. Soc. 42 (2005), 137-162
The golden age of immersion theory in topology: 1959–1973. A mathematical survey from a historical perspective
David Spring PDF
Bull. Amer. Math. Soc. 42 (2005), 163-180
What is known about unit cubes
Chuanming Zong PDF
Bull. Amer. Math. Soc. 42 (2005), 181-211
Errata for “The Octonions”
PRD::Document::Field=SCALAR(0x56330ec57388) PDF
Bull. Amer. Math. Soc. 42 (2005), 213-213

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

Momentum maps and Hamiltonian reduction, by J.-P. Ortega and T. S. Ratiu.
Reviewer: Jȩdrzej Śniatycki
Review information PDF
Bull. Amer. Math. Soc. 42 (2005), 215-223
Stochastic analysis, by Ichiro Shigekawa.
Reviewer: Rick Durrett
Review information PDF
Bull. Amer. Math. Soc. 42 (2005), 225-227
On quaternions and octonions: Their geometry, arithmetic, and symmetry, by John H. Conway and Derek A. Smith.
Reviewer: John C. Baez
Review information PDF
Bull. Amer. Math. Soc. 42 (2005), 229-243
Jürgen Moser, selected chapters in the calculus of variations, by Oliver Knill.
Reviewer: Victor Bangert
Review information PDF
Bull. Amer. Math. Soc. 42 (2005), 245-249
Bergman spaces, by Peter Duren and Alex Schuster.
Reviewer: Richard Rochberg
Review information PDF
Bull. Amer. Math. Soc. 42 (2005), 251-256
On some aspects of the theory of Anosov systems, by G. A. Margulis.
Reviewer: William Parry
Review information PDF
Bull. Amer. Math. Soc. 42 (2005), 257-261