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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.


Book Review

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

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

Author: Klaus Kirsten
Title: Spectral functions in mathematics and physics
Additional book information: Chapman & Hall/CRC, Boca Raton, FL, 2002, xiv+382 pp., ISBN 1-58488-259-X, US$99.95$

Author: Peter B. Gilkey
Title: Asymptotic formulae in spectral geometry
Additional book information: Studies in Advanced Mathematics, vol. 43, Chapman & Hall/CRC, Boca Raton, FL, 2004, viii+ 304 pp., ISBN 1-58488-358-8, US$99.95$

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

  • M. Atiyah, R. Bott, and V. K. Patodi, On the heat equation and the index theorem, Invent. Math. 19 (1973), 279–330. MR 650828, DOI 10.1007/BF01425417
  • Peter B. Gilkey, The index theorem and the heat equation, Mathematics Lecture Series, No. 4, Publish or Perish, Inc., Boston, Mass., 1974. Notes by Jon Sacks. MR 0458504
  • Peter B. Gilkey, Invariance theory, the heat equation, and the Atiyah-Singer index theorem, 2nd ed., Studies in Advanced Mathematics, CRC Press, Boca Raton, FL, 1995. MR 1396308
  • Mark Kac, Can one hear the shape of a drum?, Amer. Math. Monthly 73 (1966), no. 4, 1–23. MR 201237, DOI 10.2307/2313748
  • D. M. McAvity, Surface energy from heat content asymptotics, J. Phys. A 26 (1993), no. 4, 823–830. MR 1211078

  • Review Information:

    Reviewer: S. A. Fulling
    Affiliation: Texas A&M University
    Journal: Bull. Amer. Math. Soc. 43 (2006), 423-427
    Published electronically: April 18, 2006
    Review copyright: © Copyright 2006 American Mathematical Society
    The copyright for this article reverts to public domain 28 years after publication.