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 81, Number 5
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Miscellaneous front pages, Bull. Amer. Math. Soc., Volume 81, Number 5 (1975): PDF; Bull. Amer. Math. Soc. 81 (1975)

Miscellaneous back pages, Bull. Amer. Math. Soc., Volume 81, Number 5 (1975): PDF; Bull. Amer. Math. Soc. 81 (1975)

The Banach spaces $C\left ( K \right )$ and $L^p \left ( \mu \right )^1$: Haskell P. Rosenthal PDF; Bull. Amer. Math. Soc. 81 (1975), 763-781

Some mathematical problems in biology: S. I. Rubinow PDF; Bull. Amer. Math. Soc. 81 (1975), 782-794

Embeddings of surfaces in euclidean three-space: C. E. Burgess PDF; Bull. Amer. Math. Soc. 81 (1975), 795-818

The May council meeting in Dekalb: Everett Pitcher PDF; Bull. Amer. Math. Soc. 81 (1975), 819-820

The October meeting in New York: Everett Pitcher PDF; Bull. Amer. Math. Soc. 81 (1975), 821

The annual meeting in Washington, D.C.: Everett Pitcher and Walter H. Gottschalk PDF; Bull. Amer. Math. Soc. 81 (1975), 822-827

Elections to membership: PDF; Bull. Amer. Math. Soc. 81 (1975), 828-833

Report of the treasurer: Franklin P. Peterson PDF; Bull. Amer. Math. Soc. 81 (1975), 834-836

An iterative solution of a variational inequality for certain monotone operators in Hilbert space: Ronald E. Bruck Jr. PDF; Bull. Amer. Math. Soc. 81 (1975), 890-892

On the geometry of noncommutative spectral theory: Erik M. Alfsen and Frederic W. Shultz PDF; Bull. Amer. Math. Soc. 81 (1975), 893-895

The invalidity of the Calderon-Zygmund inequality for singular integrals over local fields: James E. Daly PDF; Bull. Amer. Math. Soc. 81 (1975), 896-899

Images of homogeneous vector bundles and varieties of complexes: George R. Kempf PDF; Bull. Amer. Math. Soc. 81 (1975), 900-901

A generalized Weil type representation and a function analogous to $e^{-x^2}$: Tomio Kubota PDF; Bull. Amer. Math. Soc. 81 (1975), 902-903

On the Nachbin topology in spaces of holomorphic functions: Jorge Mujica PDF; Bull. Amer. Math. Soc. 81 (1975), 904-906

Ideals and powers of cardinals: Karel Prikry PDF; Bull. Amer. Math. Soc. 81 (1975), 907-909

Convexity for a simply connected $p$-adic group: Allan J. Silberger PDF; Bull. Amer. Math. Soc. 81 (1975), 910-912

An extension of Khintchine’s inequality: C. M. Newman PDF; Bull. Amer. Math. Soc. 81 (1975), 913-915

Counting the faces of cut-up spaces: Thomas Zaslavsky PDF; Bull. Amer. Math. Soc. 81 (1975), 916-918

The wall obstruction in shape and pro-homotopy, with applications: David A. Edwards and Ross Geoghegan PDF; Bull. Amer. Math. Soc. 81 (1975), 919-920

Ergodic equivalence relations, cohomology, and von Neumann algebras: Jacob Feldman and Calvin C. Moore PDF; Bull. Amer. Math. Soc. 81 (1975), 921-924

Concavity of magnetization for a class of even ferromagnets: Richard S. Ellis PDF; Bull. Amer. Math. Soc. 81 (1975), 925-929

A universal formal group and complex cobordism: Michiel Hazewinkel PDF; Bull. Amer. Math. Soc. 81 (1975), 930-933

A presentation for some $K_2 \left ({n,R} \right )$: Wilberd van der Kallen, Hendrik Maazen and Jan Stienstra PDF; Bull. Amer. Math. Soc. 81 (1975), 934-936

The Euler characteristic of an affine space form is zero: B. Kostant and D. Sullivan PDF; Bull. Amer. Math. Soc. 81 (1975), 937-938

Normal self-intersections of the characteristic variety: Richard B. Melrose PDF; Bull. Amer. Math. Soc. 81 (1975), 939-940

A geometric proof of the strong maximal theorem: A. Cordoba and R. Fefferman PDF; Bull. Amer. Math. Soc. 81 (1975), 941

Springer-type theorems for spinor genera of quadratic forms: A. G. Earnest and J. S. Hsia PDF; Bull. Amer. Math. Soc. 81 (1975), 942-943

A structure sheaf for a noncommutative Noetherian ring: Beth Goldston and A. C. Mewborn PDF; Bull. Amer. Math. Soc. 81 (1975), 944-946

The group algebra of a torsion-free one-relator group can be embedded in a field: Jacques Lewin and Tekla Lewin PDF; Bull. Amer. Math. Soc. 81 (1975), 947-949

On a mean value inequality: Alberto Torchinsky PDF; Bull. Amer. Math. Soc. 81 (1975), 950-953

Proof of a conjecture of Askey on orthogonal expansions with positive coefficients: William F. Trench PDF; Bull. Amer. Math. Soc. 81 (1975), 954-956

A solution to the Blumberg problem: William A. R. Weiss PDF; Bull. Amer. Math. Soc. 81 (1975), 957-958

Distal transformation groups and fibre bundles: Robert J. Zimmer PDF; Bull. Amer. Math. Soc. 81 (1975), 959-960

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

Stochastic differential equations: theory and applications, by L. Arnold.
Stochastic differential systems. I: Filtering and control, a function space approach, by A. V. Balakrishnan.: Reviewer: Victor Goodman; Review information PDF; Bull. Amer. Math. Soc. 81 (1975), 837-840

Optimal control theory, by L. D. Berkovitz.: Reviewer: W. H. Fleming; Review information PDF; Bull. Amer. Math. Soc. 81 (1975), 840-841

Einige Klassen singularen Gleichungen, by S. Prössdorf.: Reviewer: R. G. Douglas; Review information PDF; Bull. Amer. Math. Soc. 81 (1975), 841-842

Lectures in functional analysis and operator theory, by Sterling K. Berberian.
Functional analysis, a short course, by Edward W. Packel.
Functional analysis, by Walter Rudin.: Reviewer: Charles A. Akemann; Review information PDF; Bull. Amer. Math. Soc. 81 (1975), 842-844

Random sets and integral geometry, by G. Matheron.: Reviewer: J. F. C. Kingman; Review information PDF; Bull. Amer. Math. Soc. 81 (1975), 844-847

Monotone matrix functions and analytic continuation, by W. F. Donoghue Jr..: Reviewer: Adam Korányi; Review information PDF; Bull. Amer. Math. Soc. 81 (1975), 847-851

Homology in group theory, by Urs Stammbach.: Reviewer: K. W. Gruenberg; Review information PDF; Bull. Amer. Math. Soc. 81 (1975), 851-854

Aspects of constructibility, by Keith J. Devlin.: Reviewer: Menachem Magidor; Review information PDF; Bull. Amer. Math. Soc. 81 (1975), 854-857

Analyse convexe et problèmes variationelles, by I. Ekeland and R. Teman.: Reviewer: Charles B. Morrey, Jr.; Review information PDF; Bull. Amer. Math. Soc. 81 (1975), 857-862

Characteristic classes, by John W. Milnor and James D. Stasheff.: Reviewer: E. H. Spanier; Review information PDF; Bull. Amer. Math. Soc. 81 (1975), 862-865

Lie groups, Lie algebras, and their representations, by V. S. Varadarajan.
Compact Lie groups and their representations, by D. P. Želobenko.: Reviewer: A. W. Knapp; Review information PDF; Bull. Amer. Math. Soc. 81 (1975), 865-872

Analyse différentielle, by Valentin Poenaru.
Stable mappings and their singularities, by M. Golubitsky and V. Guillemin.: Reviewer: Harold Levine; Review information PDF; Bull. Amer. Math. Soc. 81 (1975), 872-881

The $P\left( \Phi \right)_2$ euclidean (quantum) field theory, by Barry Simon.: Reviewer: John L. Challifour; Review information PDF; Bull. Amer. Math. Soc. 81 (1975), 881-885

La série génératrice exponentielle dans les problèmes d'énumération, by Dominique Foata.: Reviewer: Earl Glen Whitehead, Jr.; Review information PDF; Bull. Amer. Math. Soc. 81 (1975), 885-886

Theory of branching of solutions of non-linear equations, by M. M. Vainberg and V. A. Trenogin.: Reviewer: David H. Sattinger; Review information PDF; Bull. Amer. Math. Soc. 81 (1975), 886-889