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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.

What is MCQ? The Mathematical Citation Quotient (MCQ) measures journal impact by looking at citations over a five-year period. Subscribers to MathSciNet may click through for more detailed information.


The Brunn-Minkowski inequality
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by R. J. Gardner PDF
Bull. Amer. Math. Soc. 39 (2002), 355-405 Request permission


In 1978, Osserman [124] wrote an extensive survey on the isoperimetric inequality. The Brunn-Minkowski inequality can be proved in a page, yet quickly yields the classical isoperimetric inequality for important classes of subsets of ${\mathbb R}^n$, and deserves to be better known. This guide explains the relationship between the Brunn-Minkowski inequality and other inequalities in geometry and analysis, and some applications.
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Additional Information
  • R. J. Gardner
  • Affiliation: Department of Mathematics, Western Washington University, Bellingham, Washington 98225-9063
  • MR Author ID: 195745
  • Email:
  • Received by editor(s): February 1, 2001
  • Received by editor(s) in revised form: November 28, 2001
  • Published electronically: April 8, 2002
  • Additional Notes: Supported in part by NSF Grant DMS 9802388.
  • © Copyright 2002 American Mathematical Society
  • Journal: Bull. Amer. Math. Soc. 39 (2002), 355-405
  • MSC (2000): Primary 26D15, 52A40
  • DOI:
  • MathSciNet review: 1898210