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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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Book Review

The AMS does not provide abstracts of book reviews. You may download the entire review from the links below.


MathSciNet review: 2507281
Full text of review: PDF   This review is available free of charge.
Book Information:

Authors: Terence C. Tao and Van H. Vu
Title: Additive combinatorics
Additional book information: Cambridge Studies in Advanced Mathematics, 105, Cambridge University Press, Cambridge, 2006, xviii+512 pp., ISBN 0-521-85386-9

References [Enhancements On Off] (What's this?)

  • H. Davenport, A historical note, J. London Math. Soc. 22 (1947), 100–101. MR 22865, DOI 10.1112/jlms/s1-22.2.100
  • 2.
    T. C. Tao, The ergodic and combinatorial approaches to Szemerédi's theorem, Additive combinatorics, 145-193, CRM Proc. Lecture Notes 43, Amer. Math. Soc., Providence, RI, 2007.
    3.
    T.C. Tao and V. H. Vu, Random matrices: Universality of ESDs and the circular law, preprint available at http://arxiv.org/abs/0807.4898.

    Review Information:

    Reviewer: Ben Green
    Affiliation: Centre for Mathematical Sciences, Wilberforce Road, Cambridge CB3 0WA, England
    Email: b.j.green@dpmms.cam.ac.uk
    Journal: Bull. Amer. Math. Soc. 46 (2009), 489-497
    DOI: https://doi.org/10.1090/S0273-0979-09-01231-2
    Published electronically: January 15, 2009
    Additional Notes: Part of this review was written, appropriately enough, while the author was attending the semester in Additive Combinatorics at the Institute for Advanced Study, Princeton. He thanks the Institute for their staging of this most enjoyable and productive programme.
    Review copyright: © Copyright 2009 American Mathematical Society