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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 51, Number 1
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Cluster algebras: an introduction
Lauren K. Williams PDF
Bull. Amer. Math. Soc. 51 (2014), 1-26
How many rational points does a random curve have?
Wei Ho PDF
Bull. Amer. Math. Soc. 51 (2014), 27-52
Geometric group theory and 3-manifolds hand in hand: the fulfillment of Thurston’s vision
Mladen Bestvina PDF
Bull. Amer. Math. Soc. 51 (2014), 53-70
Linear subsets of nonlinear sets in topological vector spaces
Luis Bernal-González, Daniel Pellegrino and Juan B. Seoane-Sepúlveda PDF
Bull. Amer. Math. Soc. 51 (2014), 71-130

Mathematical Perspectives


About the cover: Laplace and his American translator
Gerald L. Alexanderson PDF
Bull. Amer. Math. Soc. 51 (2014), 131-135
Selections Reprinted from Mathematical Reviews
Review information PDF
Bull. Amer. Math. Soc. 51 (2014), 137-140

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

Convolution and equidistribution: Sato-Tate theorems for finite fields Mellin transforms, by N. Katz.
Reviewer: Emmanuel Kowalski
Review information PDF
Bull. Amer. Math. Soc. 51 (2014), 141-149
Thurston’s work on surfaces, by Albert Fathi, François Laudenbach and Valentin Poénaru.
Reviewer: Dan Margalit
Review information PDF
Bull. Amer. Math. Soc. 51 (2014), 151-161
Global aspects of ergodic group actions, by Alexander S. Kechris.
Reviewer: Benjamin Weiss
Review information PDF
Bull. Amer. Math. Soc. 51 (2014), 163-168
Felix Hausdorff—Gesammelte Werke. Vol. IA, Allgemeine Mengenlehre, edited by U. Felgner, V. Kanovei, P. Koepke and W. Purkert.
Felix Hausdorff—Gesammelte Werke. Vol. III, Deskriptive Mengenlehre und Topologie, edited by U. Felgner, H. Herrlich, M. Hušek, V. Kanovei, P. Koepke, G. Preuß, W. Purkert and E. Scholz.
Felix Hausdorff—Gesammelte Werke. Vol. VIII, Literarisches Werk, edited by F. Volljardt and U. Roth.
Felix Hausdorff—Gesammelte Werke. Vol. IX, Korrespondenz, edited by W. Purkert.
Reviewer: Jeremy Gray
Review information PDF
Bull. Amer. Math. Soc. 51 (2014), 169-172
Probability on graphs: random processes on graphs and lattices, by Geoffrey Grimmett.
Reviewer: David Aldous
Review information PDF
Bull. Amer. Math. Soc. 51 (2014), 173-175
Zeta functions of graphs: a stroll through the garden, by Audrey Terras.
Reviewer: Laurent Bartholdi
Review information PDF
Bull. Amer. Math. Soc. 51 (2014), 177-185