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Book Review

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Book Information:

Author: Larry Guth
Title: Polynomial methods in combinatorics
Additional book information: University Lecture Series, Vol. 64, American Mathematical Society, Providence, RI, 2016, ix+273 pp., ISBN 978-1-4704-2890-7, US $48.00, softcover

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

  • [1] Zeev Dvir, On the size of Kakeya sets in finite fields, J. Amer. Math. Soc. 22 (2009), no. 4, 1093-1097. MR 2525780, https://doi.org/10.1090/S0894-0347-08-00607-3
  • [2] P. Erdős, On sets of distances of $ n$ points, Amer. Math. Monthly 53 (1946), 248-250. MR 0015796, https://doi.org/10.2307/2305092
  • [3] Larry Guth, The endpoint case of the Bennett-Carbery-Tao multilinear Kakeya conjecture, Acta Math. 205 (2010), no. 2, 263-286. MR 2746348, https://doi.org/10.1007/s11511-010-0055-6
  • [4] Larry Guth and Nets Hawk Katz, On the Erdős distinct distances problem in the plane, Ann. of Math. (2) 181 (2015), no. 1, 155-190. MR 3272924, https://doi.org/10.4007/annals.2015.181.1.2
  • [5] A. H. Stone and J. W. Tukey, Generalized ``sandwich'' theorems, Duke Math. J. 9 (1942), 356-359. MR 0007036
  • [6] Terence Tao, From rotating needles to stability of waves: emerging connections between combinatorics, analysis, and PDE, Notices Amer. Math. Soc. 48 (2001), no. 3, 294-303. MR 1820041

Review Information:

Reviewer: Terence Tao
Affiliation: Department of Mathematics University of California, Los Angeles
Email: tao@math.ucla.edu
Journal: Bull. Amer. Math. Soc. 55 (2018), 103-107
MSC (2010): Primary 05D99
DOI: https://doi.org/10.1090/bull/1586
Published electronically: August 8, 2017
Review copyright: © Copyright 2017 American Mathematical Society
American Mathematical Society