Asymptotic Formulae in Spectral Geometry

Asymptotic Formulae in Spectral Geometry

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Description

A great deal of progress has been made recently in the field of asymptotic formulas that arise in the theory of Dirac and Laplace type operators. Asymptotic Formulae in Spectral Geometry collects these results and computations into one book. Written by a leading pioneer in the field, it focuses on the functorial and special cases methods of computing asymptotic heat trace and heat content coefficients in the heat equation. It incorporates the work of many authors into the presentation, and includes a complete bibliography that serves as a roadmap to the literature on the subject. Geometers, mathematical physicists, and analysts alike will undoubtedly find this book to be the definitive book on the subjectshow more

Product details

  • Hardback | 312 pages
  • 158 x 240.3 x 21.3mm | 557.93g
  • Taylor & Francis Inc
  • Chapman & Hall/CRC
  • Boca Raton, FL, United States
  • English
  • New.
  • 30 black & white illustrations
  • 1584883588
  • 9781584883586

Review quote

"This book gathers the available knowledge on the subject; it has a comprehensive bibliography and is an excellent complement to Gilkey's [Invariance theory, the heat equation, and the Atiyah-Singer index theorem, Second Edition]." -Mathematical Reviews, Issue 2005fshow more

Table of contents

A great deal of progress has been made recently in the field of asymptotic formulas that arise in the theory of Dirac and Laplace type operators. Asymptotic Formulae in Spectral Geometry collects these results and computations into one book. Written by a leading pioneer in the field, it focuses on the functorial and special cases methods of computing asymptotic heat trace and heat content coefficients in the heat equation. It incorporates the work of many authors into the presentation, and includes a complete bibliography that serves as a roadmap to the literature on the subject. Geometers, mathematical physicists, and analysts alike will undoubtedly find this to be the definitive book on the subject.show more