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Book Review
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Book Information
Author(s):
Klaus Kirsten
Title:
Spectral functions in mathematics and physics
Additional book information:
Chapman & Hall/CRC,
Boca Raton, FL,
2002,
xiv+382 pp.,
US$99.95,
ISBN 1-58488-259-X
Author(s):
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.,
US$99.95,
ISBN 1-58488-358-8
References:
-
- 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)
Additional Information:
Reviewer(s):
S.
A.
Fulling
Affiliation:
Texas A&M University
Email:
fulling@math.tamu.edu
Review Information:
Journal:
Bull. Amer. Math. Soc.
43
(2006),
423-427.
MSC
(2000):
Primary 58J35
PII:
S 0273-0979(06)01089-5
Posted:
April 18, 2006
Copyright of article:
Copyright
2006,
American Mathematical Society
The copyright for this article reverts to public domain after 28 years from publication.
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