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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.

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Contents of Volume 20, Number 2
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Miscellaneous back pages, Bull. Amer. Math. Soc. (N.S.), Volume 20, Number 2 (1989)
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Bull. Amer. Math. Soc. 20 (1989)
Miscellaneous front pages, Bull. Amer. Math. Soc. (N.S.), Volume 20, Number 2 (1989)
PDF
Bull. Amer. Math. Soc. 20 (1989)
The state of the second part of Hilbert’s fifth problem
J. Aczél PDF
Bull. Amer. Math. Soc. 20 (1989), 153-163
Construction of units in integral group rings of finite nilpotent groups
Jürgen Ritter and Sudarshan K. Sehgal PDF
Bull. Amer. Math. Soc. 20 (1989), 165-168
Hodge theory with local coefficients and fundamental groups of varieties
Donu Arapura PDF
Bull. Amer. Math. Soc. 20 (1989), 169-172
Toeplitz $C^*$-algebras over pseudoconvex Reinhardt domains
Norberto Salinas, Albert Sheu and Harald Upmeier PDF
Bull. Amer. Math. Soc. 20 (1989), 173-176
Symmetric decreasing rearrangement can be discontinuous
Frederick J. Almgren Jr. and Elliott H. Lieb PDF
Bull. Amer. Math. Soc. 20 (1989), 177-180
Controlled topology in geometry
K. Grove, P. Petersen V and J. Y. Wu PDF
Bull. Amer. Math. Soc. 20 (1989), 181-183

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

Fundamentals of stability theory, by John T. Baldwin.
Reviewer: Gregory L. Cherlin
Review information PDF
Bull. Amer. Math. Soc. 20 (1989), 185-190
Ergodic theory and differentiable dynamics, by Ricardo Mañé.
Reviewer: John Franks
Review information PDF
Bull. Amer. Math. Soc. 20 (1989), 190-193
Lectures on counterexamples in several complex variables, by John Erik Fornaess and Berit Stensønes.
Reviewer: Jean-Pierre Rosay
Review information PDF
Bull. Amer. Math. Soc. 20 (1989), 193-196
Ring theory, by Louis H. Rowen.
Reviewer: Edward Formanek
Review information PDF
Bull. Amer. Math. Soc. 20 (1989), 196-198
Real variable methods in harmonic analysis, by Alberto Torchinsky.
Weighted norm inequalities and related topics, by J. García-Cuerva and J. L. Rubio de Francia.
Reviewer: Guido Weiss
Review information PDF
Bull. Amer. Math. Soc. 20 (1989), 198-207
Correlation theory of stationary and random functions vol. I; Basic results, vol. II, Supplementary notes and references, by A. M. Yaglom.
Reviewer: Murray Rosenblatt
Review information PDF
Bull. Amer. Math. Soc. 20 (1989), 207-211
Representations of algebraic groups, by Jens Carsten Jantzen.
Reviewer: Stephen Donkin
Review information PDF
Bull. Amer. Math. Soc. 20 (1989), 211-215
The Liar: An essay in truth and circularity, by Jon Barwise and John Etchemendy.
Reviewer: Lawrence S. Moss
Review information PDF
Bull. Amer. Math. Soc. 20 (1989), 216-225
An introduction to the theory of the Riemann zeta-function, by S. J. Patterson.
Introduction to analytic number theory, by A. G. Postnikov.
Reviewer: M. Ram Murty
Review information PDF
Bull. Amer. Math. Soc. 20 (1989), 226-229
The geometry and dynamics of magnetic monopoles, by Michael Atiyah and Nigel Hitchin.
Reviewer: R. S. Ward
Review information PDF
Bull. Amer. Math. Soc. 20 (1989), 230-231
Spectral theory and differential operators, by D. E. Edmunds and W. D. Evans.
Reviewer: William G. Faris
Review information PDF
Bull. Amer. Math. Soc. 20 (1989), 232-235
A formalization of set theory without variables, by Alfred Tarski and Steven Givant.
Reviewer: J. Donald Monk
Review information PDF
Bull. Amer. Math. Soc. 20 (1989), 236-239
Radically elementary probability theory, by Edward Nelson.
Reviewer: Loren D. Pitt
Review information PDF
Bull. Amer. Math. Soc. 20 (1989), 240-243
Stability in model theory, by Daniel Lascar.
Reviewer: Victor Harnik
Review information PDF
Bull. Amer. Math. Soc. 20 (1989), 243-247
Hilbert modular surfaces, by Gerard van der Geer.
Reviewer: Gerd Faltings
Review information PDF
Bull. Amer. Math. Soc. 20 (1989), 247-251
Groups and geometric analysis. Integral geometry, invariant differential operators and spherical functions, by Sigurdur Helgason.
Reviewer: Roger Howe
Review information PDF
Bull. Amer. Math. Soc. 20 (1989), 252-256
Global bifurcation and chaos: analytical methods, by Stephen Wiggins.
Reviewer: Robert L. Devaney
Review information PDF
Bull. Amer. Math. Soc. 20 (1989), 256-259
Stochastic equations for complex systems, by A. V. Skorohod.
Reviewer: Donald Dawson
Review information PDF
Bull. Amer. Math. Soc. 20 (1989), 259-267
Transformation groups, by Tammo tom Dieck.
Reviewer: J. Peter May
Review information PDF
Bull. Amer. Math. Soc. 20 (1989), 267-270
One-dimensional stable distributions, by V. M. Zolotarev.
Reviewer: R. G. Laha
Review information PDF
Bull. Amer. Math. Soc. 20 (1989), 270-277
Nonlinear functional analysis, by Klaus Deimling.
Reviewer: P. M. Fitzpatrick
Review information PDF
Bull. Amer. Math. Soc. 20 (1989), 277-280
Asymptotic methods in statistical decision theory, by Lucien Le Cam.
Reviewers: A. N. Shiryayev and Yu. A. Koshevnik
Review information PDF
Bull. Amer. Math. Soc. 20 (1989), 280-285