Invariance Theory, the Heat Equation and the Atiyah-Singer Index Theorem
by Peter B. Gilkey
Publisher: Publish or Perish Inc. 1984
Number of pages: 536
This book treats the Atiyah-Singer index theorem using the heat equation, which gives a local formula for the index of any elliptic complex. Heat equation methods are also used to discuss Lefschetz fixed point formulas, the Gauss-Bonnet theorem for a manifold with smooth boundary, and the geometrical theorem for a manifold with smooth boundary.
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by W. Wilson - Dutton
The purpose of the present work is to present an account of the theoretical side of physics which, without being too elaborate, will be sufficiently comprehensive to be useful to teachers and students. This volume deals with mechanics and heat.
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