Contents of Volume 21, Number 1

All articles in this issue are freely accessible.

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.
Bull. Amer. Math. Soc. 21 (1989), 1-46
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MathSciNet review: 974426

Miscellaneous back pages, Bull. Amer. Math. Soc. (N.S.), Volume 21, Number 1 (1989)

Bull. Amer. Math. Soc. 21 (1989)
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MathSciNet review: 1567799

Miscellaneous front pages, Bull. Amer. Math. Soc. (N.S.), Volume 21, Number 1 (1989)

Bull. Amer. Math. Soc. 21 (1989)
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MathSciNet review: 1567769

Contributions to the $K$-theory of $C^*$-algebras of Toeplitz and singular integral operators

Paul S. Muhly, Ian F. Putnam and Jingbo Xia.
Bull. Amer. Math. Soc. 21 (1989), 47-50
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MathSciNet review: 985138

Conjecture “Epsilon” for weight $k>2$

Bruce W. Jordan and Ron Livné.
Bull. Amer. Math. Soc. 21 (1989), 51-56
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MathSciNet review: 985137

Iteration theory and inequalities for Kleinian groups

F. W. Gehring and G. J. Martin.
Bull. Amer. Math. Soc. 21 (1989), 57-63
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MathSciNet review: 974424

Galois representations for Hilbert modular forms

D. Blasius and J. Rogawski.
Bull. Amer. Math. Soc. 21 (1989), 65-69
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MathSciNet review: 983457

Every three-sphere of positive Ricci curvature contains a minimal embedded torus

Brian White.
Bull. Amer. Math. Soc. 21 (1989), 71-75
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MathSciNet review: 994891

$AD$ and the very fine structure of $L\left ( \mathbb {R} \right )$

Steve Jackson.
Bull. Amer. Math. Soc. 21 (1989), 77-81
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MathSciNet review: 980305

Eta-invariants and von Neumann algebras

R. G. Douglas, S. Hurder and J. Kaminker.
Bull. Amer. Math. Soc. 21 (1989), 83-87
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MathSciNet review: 979832

A nonvanishing theorem for derivatives of automorphic $L$-functions with applications to elliptic curves

Daniel Bump, Solomon Friedberg and Jeffrey Hoffstein.
Bull. Amer. Math. Soc. 21 (1989), 89-93
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MathSciNet review: 983456

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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
Bull. Amer. Math. Soc. 21 (1989), 95-101
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Multiphase averaging for classical systems, with applications to adiabatic theorems, by Pierre Lochak and Claude Meunier.

Reviewer: Philip Holmes
Bull. Amer. Math. Soc. 21 (1989), 101-105
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Spectral theory of linear differential operators and comparison algebras, by H. O. Cordes.

Reviewer: Alexander Dynin
Bull. Amer. Math. Soc. 21 (1989), 105-108
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Iwasawa theory of elliptic curves with complex multiplication, by Ehud de Shalit.

Reviewer: Karl Rubin
Bull. Amer. Math. Soc. 21 (1989), 108-112
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Ergodic theory of random transformations, by Yuri Kifer.

Reviewer: Peter Walters
Bull. Amer. Math. Soc. 21 (1989), 113-117
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The homotopy index and partial differential equations, by Krzysztof P. Rybakowski.

Reviewer: Jean Mawhin
Bull. Amer. Math. Soc. 21 (1989), 118-121
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Quadratic and Hermitian forms, by Winfried Scharlau.

Reviewer: T. Y. Lam
Bull. Amer. Math. Soc. 21 (1989), 121-125
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Collected mathematical papers of Jacob Nielson, by Vagn Lundsgaard Hansen.

Reviewer: Jane Gilman
Bull. Amer. Math. Soc. 21 (1989), 125-129
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Basic hypergeometric series and applications, by Nathan J. Fine.

Reviewer: Richard Askey
Bull. Amer. Math. Soc. 21 (1989), 130-132
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Stationary sequences and random fields, by Murray Rosenblatt.

Reviewer: G. Kallianpur
Bull. Amer. Math. Soc. 21 (1989), 133-139
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Free rings and their relations, by P. M. Cohn.

Reviewer: Jacques Lewin
Bull. Amer. Math. Soc. 21 (1989), 139-142
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Sphere packings, lattices and groups, by J. H. Conway and N. J. A. Sloane.

Reviewer: Richard K. Guy
Bull. Amer. Math. Soc. 21 (1989), 142-147
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Foundations of analysis over surreal number fields, by N. L. Alling.

Reviewer: P. M. Cohn
Bull. Amer. Math. Soc. 21 (1989), 148-149
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Theory of topological structures. An approach to categorical topology, by Gerhard Preuss.

Reviewer: Walter Tholen
Bull. Amer. Math. Soc. 21 (1989), 149-152
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Multidimensional Brownian excursions and potential theory, by K. Burdzy.

Reviewer: Thomas S. Salisbury
Bull. Amer. Math. Soc. 21 (1989), 152-157
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Riemannian geometry, by S. Gallot, D. Hulin and J. Lafontaine.

Reviewer: Robert E. Greene
Bull. Amer. Math. Soc. 21 (1989), 157-162
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The complex analytic theory of Teichmüller spaces, by Subhashis Nag.

Reviewer: William Abikoff
Bull. Amer. Math. Soc. 21 (1989), 162-168
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Extensions and absolutes of Hausdorff spaces, by JackR. Porter and R. Grant Woods.

Reviewer: Melvin Henriksen
Bull. Amer. Math. Soc. 21 (1989), 168-171
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Introduction to Arakelov theory, by Serge Lang.

Reviewer: Joseph H. Silverman
Bull. Amer. Math. Soc. 21 (1989), 171-176
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Calculus on Heisenberg manifolds, by Richard Beals and Peter Greiner.

Reviewer: Nancy K. Stanton
Bull. Amer. Math. Soc. 21 (1989), 177-179
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An introduction to independence for analysts, by H. G. Dales and W. H. Woodin.

Reviewer: M. Alain Louveau
Bull. Amer. Math. Soc. 21 (1989), 179-181
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Random polynomials, by A. T. Bharucha-Reid and M. Sambandham.

Reviewer: G. Samal
Bull. Amer. Math. Soc. 21 (1989), 182-183
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$H^\infty$ Operator theory and arithmetic in, by Hari Bercovici.

Reviewer: Pei Yuan Wu
Bull. Amer. Math. Soc. 21 (1989), 184-186
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Stratified Morse theory, by M. Goresky and R. MacPherson.

Reviewer: K.-H. Fieseler
Bull. Amer. Math. Soc. 21 (1989), 186-188
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Introduction to superanalysis, by Felix Alexandrovich Berezin.

Reviewer: Mitchell J. Rothstein
Bull. Amer. Math. Soc. 21 (1989), 189-192
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Gauge field theory and complex geometry, by Yuri I. Manin.

Reviewer: Claude Lebrun
Bull. Amer. Math. Soc. 21 (1989), 192-196
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Infinite-dimensional dynamical systems in mechanics and physics, by Roger Temam.

Reviewer: John Guckenheimer
Bull. Amer. Math. Soc. 21 (1989), 196-198
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Orthogonality and spacetime geometry, by Robert Goldblatt.

Reviewers: A. D. Taimanov and Alexander K. Guts
Bull. Amer. Math. Soc. 21 (1989), 199-200
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Partially ordered abelian groups with interpolation, by K. R. Goodearl.

Reviewer: George A. Elliott
Bull. Amer. Math. Soc. 21 (1989), 200-204
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