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Invariance Theory - The Heat Equation and the Atiyah-Singer Index Theorem (Hardcover, 2 Rev Ed) Loot Price: R8,205
Discovery Miles 82 050
Repayment Terms: R769 pm x 12*
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Invariance Theory - The Heat Equation and the Atiyah-Singer Index Theorem (Hardcover, 2 Rev Ed): Peter B. Gilkey

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

Peter B. Gilkey; Series edited by Steven G. Krantz

Series: Studies in Advanced Mathematics

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Loot Price R8,205 Discovery Miles 82 050 | Repayment Terms: R769 pm x 12*

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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
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LSN: 0-8493-7874-5
Barcode: 9780849378744

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