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Bulletin of the American Mathematical Society

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Book Review

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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?)

  • 1. M. F. Atiyah, R. Bott, and V. K. Patodi, On the heat equation and the index theorem, Invent. Math. 19 (1973), 279-330. MR 0650828 (58:31287)
  • 2. P. B. Gilkey, The Index Theorem and the Heat Equation (Math. Lecture Series 4), Publish or Perish, Boston, MA, 1974. MR 0458504 (56:16704)
  • 3. P. B. Gilkey, Invariance Theory, the Heat Equation, and the Atiyah-Singer Index Theorem (Math. Lecture Series 11), Publish or Perish, Wilmington, DE, 1984; 2nd edition (Studies Adv. Math. 16), CRC Press, Boca Raton, FL, 1995. MR 1396308 (98b:58156)
  • 4. M. Kac, Can one hear the shape of a drum?, Amer. Math. Monthly 73 (1966), Part II, 1-23. MR 0201237 (34:1121)
  • 5. D. M. McAvity, Surface energy from heat content asymptotics, J. Phys. A 26 (1993), 823-830. MR 1211078 (94c:58200)

Review Information:

Reviewer: S. A. Fulling
Affiliation: Texas A&M University
Email: fulling@math.tamu.edu
Journal: Bull. Amer. Math. Soc. 43 (2006), 423-427
MSC (2000): Primary 58J35
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.
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