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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 21, Number 1
HTML articles powered by AMS MathViewer

On a theory of computation and complexity over the real numbers: $NP$- completeness, recursive functions and universal machines
Lenore Blum, Mike Shub and Steve Smale PDF
Bull. Amer. Math. Soc. 21 (1989), 1-46
Miscellaneous back pages, Bull. Amer. Math. Soc. (N.S.), Volume 21, Number 1 (1989)
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Bull. Amer. Math. Soc. 21 (1989)
Miscellaneous front pages, Bull. Amer. Math. Soc. (N.S.), Volume 21, Number 1 (1989)
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Bull. Amer. Math. Soc. 21 (1989)
Contributions to the $K$-theory of $C^*$-algebras of Toeplitz and singular integral operators
Paul S. Muhly, Ian F. Putnam and Jingbo Xia PDF
Bull. Amer. Math. Soc. 21 (1989), 47-50
Conjecture “Epsilon” for weight $k>2$
Bruce W. Jordan and Ron Livné PDF
Bull. Amer. Math. Soc. 21 (1989), 51-56
Iteration theory and inequalities for Kleinian groups
F. W. Gehring and G. J. Martin PDF
Bull. Amer. Math. Soc. 21 (1989), 57-63
Galois representations for Hilbert modular forms
D. Blasius and J. Rogawski PDF
Bull. Amer. Math. Soc. 21 (1989), 65-69
Every three-sphere of positive Ricci curvature contains a minimal embedded torus
Brian White PDF
Bull. Amer. Math. Soc. 21 (1989), 71-75
$AD$ and the very fine structure of $L\left ( \mathbb {R} \right )$
Steve Jackson PDF
Bull. Amer. Math. Soc. 21 (1989), 77-81
Eta-invariants and von Neumann algebras
R. G. Douglas, S. Hurder and J. Kaminker PDF
Bull. Amer. Math. Soc. 21 (1989), 83-87
A nonvanishing theorem for derivatives of automorphic $L$-functions with applications to elliptic curves
Daniel Bump, Solomon Friedberg and Jeffrey Hoffstein PDF
Bull. Amer. Math. Soc. 21 (1989), 89-93

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

Class field theory, by Jürgen Neukirch.
Local class field theory, by Kenkichi Iwasawa.
Reviewer: Michiel Hazewinkel
Review information PDF
Bull. Amer. Math. Soc. 21 (1989), 95-101
Multiphase averaging for classical systems, with applications to adiabatic theorems, by Pierre Lochak and Claude Meunier.
Reviewer: Philip Holmes
Review information PDF
Bull. Amer. Math. Soc. 21 (1989), 101-105
Spectral theory of linear differential operators and comparison algebras, by H. O. Cordes.
Reviewer: Alexander Dynin
Review information PDF
Bull. Amer. Math. Soc. 21 (1989), 105-108
Iwasawa theory of elliptic curves with complex multiplication, by Ehud de Shalit.
Reviewer: Karl Rubin
Review information PDF
Bull. Amer. Math. Soc. 21 (1989), 108-112
Ergodic theory of random transformations, by Yuri Kifer.
Reviewer: Peter Walters
Review information PDF
Bull. Amer. Math. Soc. 21 (1989), 113-117
The homotopy index and partial differential equations, by Krzysztof P. Rybakowski.
Reviewer: Jean Mawhin
Review information PDF
Bull. Amer. Math. Soc. 21 (1989), 118-121
Quadratic and Hermitian forms, by Winfried Scharlau.
Reviewer: T. Y. Lam
Review information PDF
Bull. Amer. Math. Soc. 21 (1989), 121-125
Collected mathematical papers of Jacob Nielson, by Vagn Lundsgaard Hansen.
Reviewer: Jane Gilman
Review information PDF
Bull. Amer. Math. Soc. 21 (1989), 125-129
Basic hypergeometric series and applications, by Nathan J. Fine.
Reviewer: Richard Askey
Review information PDF
Bull. Amer. Math. Soc. 21 (1989), 130-132
Stationary sequences and random fields, by Murray Rosenblatt.
Reviewer: G. Kallianpur
Review information PDF
Bull. Amer. Math. Soc. 21 (1989), 133-139
Free rings and their relations, by P. M. Cohn.
Reviewer: Jacques Lewin
Review information PDF
Bull. Amer. Math. Soc. 21 (1989), 139-142
Sphere packings, lattices and groups, by J. H. Conway and N. J. A. Sloane.
Reviewer: Richard K. Guy
Review information PDF
Bull. Amer. Math. Soc. 21 (1989), 142-147
Foundations of analysis over surreal number fields, by N. L. Alling.
Reviewer: P. M. Cohn
Review information PDF
Bull. Amer. Math. Soc. 21 (1989), 148-149
Theory of topological structures. An approach to categorical topology, by Gerhard Preuss.
Reviewer: Walter Tholen
Review information PDF
Bull. Amer. Math. Soc. 21 (1989), 149-152
Multidimensional Brownian excursions and potential theory, by K. Burdzy.
Reviewer: Thomas S. Salisbury
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Bull. Amer. Math. Soc. 21 (1989), 152-157
Riemannian geometry, by S. Gallot, D. Hulin and J. Lafontaine.
Reviewer: Robert E. Greene
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Bull. Amer. Math. Soc. 21 (1989), 157-162
The complex analytic theory of Teichmüller spaces, by Subhashis Nag.
Reviewer: William Abikoff
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Bull. Amer. Math. Soc. 21 (1989), 162-168
Extensions and absolutes of Hausdorff spaces, by JackR. Porter and R. Grant Woods.
Reviewer: Melvin Henriksen
Review information PDF
Bull. Amer. Math. Soc. 21 (1989), 168-171
Introduction to Arakelov theory, by Serge Lang.
Reviewer: Joseph H. Silverman
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Bull. Amer. Math. Soc. 21 (1989), 171-176
Calculus on Heisenberg manifolds, by Richard Beals and Peter Greiner.
Reviewer: Nancy K. Stanton
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Bull. Amer. Math. Soc. 21 (1989), 177-179
An introduction to independence for analysts, by H. G. Dales and W. H. Woodin.
Reviewer: M. Alain Louveau
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Bull. Amer. Math. Soc. 21 (1989), 179-181
Random polynomials, by A. T. Bharucha-Reid and M. Sambandham.
Reviewer: G. Samal
Review information PDF
Bull. Amer. Math. Soc. 21 (1989), 182-183
$H^\infty$ Operator theory and arithmetic in, by Hari Bercovici.
Reviewer: Pei Yuan Wu
Review information PDF
Bull. Amer. Math. Soc. 21 (1989), 184-186
Stratified Morse theory, by M. Goresky and R. MacPherson.
Reviewer: K.-H. Fieseler
Review information PDF
Bull. Amer. Math. Soc. 21 (1989), 186-188
Introduction to superanalysis, by Felix Alexandrovich Berezin.
Reviewer: Mitchell J. Rothstein
Review information PDF
Bull. Amer. Math. Soc. 21 (1989), 189-192
Gauge field theory and complex geometry, by Yuri I. Manin.
Reviewer: Claude Lebrun
Review information PDF
Bull. Amer. Math. Soc. 21 (1989), 192-196
Infinite-dimensional dynamical systems in mechanics and physics, by Roger Temam.
Reviewer: John Guckenheimer
Review information PDF
Bull. Amer. Math. Soc. 21 (1989), 196-198
Orthogonality and spacetime geometry, by Robert Goldblatt.
Reviewers: A. D. Taimanov and Alexander K. Guts
Review information PDF
Bull. Amer. Math. Soc. 21 (1989), 199-200
Partially ordered abelian groups with interpolation, by K. R. Goodearl.
Reviewer: George A. Elliott
Review information PDF
Bull. Amer. Math. Soc. 21 (1989), 200-204