Invariance Theory - The Heat Equation and the Atiyah-Singer Index Theorem (Hardcover, 2 Rev Ed)

This text examines the Atiyah-Singer 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. The book presents a careful treatment of non-self-adjoint operators, asymptotics of the heat equation and variational formulas. It also introduces spectral geometry and provides a list of asymptotic formulas. The bibliography has been complied by Herbert Schroeder.

General

Imprint:	Crc Press
Country of origin:	United States
Series:	Studies in Advanced Mathematics
Release date:	December 1994
First published:	1995
Authors:	Peter B. Gilkey
Series editors:	Steven G. Krantz
Dimensions:	234 x 156 x 35mm (L x W x T)
Format:	Hardcover
Pages:	512
Edition:	2 Rev Ed
ISBN-13:	978-0-8493-7874-4
Categories:	Books > Science & Mathematics > Physics > General Books > Science & Mathematics > Mathematics > Applied mathematics > Mathematics for scientists & engineers
LSN:	0-8493-7874-5
Barcode:	9780849378744

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