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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 52, Number 4
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View front and back matter from the print issue

Introductory comments
Susan Friedlander PDF
Bull. Amer. Math. Soc. 52 (2015), 543-544
Topology through the centuries: Low dimensional manifolds
John Milnor PDF
Bull. Amer. Math. Soc. 52 (2015), 545-584
Topological Manifolds and Smooth Manifolds [reprinted from Proc. Internat. Congr. Math. (Stockholm 1962)]
John Milnor PDF
Bull. Amer. Math. Soc. 52 (2015), 585-591
Introduction to Exotic Spheres [reprinted from Collected Papers of John Milnor, III, 2007]
John Milnor PDF
Bull. Amer. Math. Soc. 52 (2015), 593-602
Commentary on the Kervaire–Milnor correspondence 1958–1961
Andrew Ranicki and Claude Weber PDF
Bull. Amer. Math. Soc. 52 (2015), 603-609
The Kervaire–Milnor correspondence 1958–1961
Michel A. Kervaire and John W. Milnor; \protect\linebreak with transcription by Shu Otsuka PDF
Bull. Amer. Math. Soc. 52 (2015), 611-658
Groups of Homotopy Spheres: I [reprinted from Annals of Mathematics, Vol. 77, No. 3, May 1963]
Michel A. Kervaire and John W. Milnor PDF
Bull. Amer. Math. Soc. 52 (2015), 659-692

Mathematical Perspectives


About the cover: Vigeland’s Abel monument
Gerald L. Alexanderson PDF
Bull. Amer. Math. Soc. 52 (2015), 693-698
Selections Reprinted from Mathematical Reviews
Review information PDF
Bull. Amer. Math. Soc. 52 (2015), 699-710

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

Mumford–Tate groups and domains: their geometry and arithmetic, by Mark Green, Phillip A. Griffiths and Matt Kerr.
Reviewer: Gregory Pearlstein
Review information PDF
Bull. Amer. Math. Soc. 52 (2015), 711-724
Taming the unknown. A history of algebra from antiquity to the early twentieth century, by Victor J. Katz and Karen Hunger Parshall.
Reviewer: John Stillwell
Review information PDF
Bull. Amer. Math. Soc. 52 (2015), 725-731
The joys of Haar measure, by Joe Diestel and Angela Spalsbury.
Reviewer: Joseph Rosenblatt
Review information PDF
Bull. Amer. Math. Soc. 52 (2015), 733-738