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Heat Kernels and Dirac Operators: Vol 298 (Die Grundlehren der Mathematischen Wissenschaften) - Hardcover
Synopsis
In this book, the Atiyah-Singer index theorem for Dirac operators on compact Riemannian manifolds and its more recent generalizations receive simple proofs. The main technique which is used is an explicit geometric construction of the heat kernels of a generalized Dirac operator. The first four chapters could be used at the text for a graduate course on the applications of linear elliptic operators in differential geometry and the only prerequisites are a familiarity with basic differential geometry. Several chapters deal with other preparatory material.
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Product Description
In this book, the Atiyah-Singer index theorem for Dirac operators on compact Riemannian manifolds and its more recent generalizations receive simple proofs. The main technique which is used is an explicit geometric construction of the heat kernels of a generalized Dirac operator. The first four chapters could be used at the text for a graduate course on the applications of linear elliptic operators in differential geometry and the only prerequisites are a familiarity with basic differential geometry. Several chapters deal with other preparatory material.
Review
Aus den Rezensionen:
"... Das vorliegende Buch ist die zweite korrigierte und erweiterte Ausgabe eines Werkes aus dem Jahre 1992. ... Ausgehend von einer Grundausbildung in klassischer Differentialgeometrie stellt das Buch alle zum Verständnis des Beweises notwendigen Voraussetzungen zur Verfügung. Dadurch eignet es sich einerseits zum Selbststudium für Studierende mit entsprechender Vorbildung ... andererseits als Grundlage einer Vorlesung über dieses ergiebige Thema."
(P. Grabner, in: IMN - Internationale Mathematische Nachrichten, 2006, Issue 202, S. 45)
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Heat Kernels and Dirac Operators (Grundlehren der mathematischen Wissenschaften)
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Heat Kernels and Dirac Operators
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ISBN 10: 3540533400
ISBN 13: 9783540533405
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Trade paperback. Condition: New in new dust jacket. First edition. 1992. Corr. 2nd Printing. ***INTERNATIONAL EDITION*** Read carefully before purchase: This book is the international edition in mint condition with the different ISBN and book cover design, the major content is printed in full English as same as the original North American edition. The book printed in black and white, generally send in twenty-four hours after the order confirmed. All shipments contain tracking numbers. Great professional textbook selling experience and expedite shipping service. Sewn binding. Cloth over boards. 363 p. Grundlehren Der Mathematischen Wissenschaften (Springer Hardcover), 298. Audience: General/trade. Seller Inventory # K308A0000071
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Heat Kernels and Dirac Operators: Vol 298 (Die Grundlehren der Mathematischen Wissenschaften)
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Heat Kernels and Dirac Operators (Grundlehren der mathematischen Wissenschaften)
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Heat Kernels and Dirac Operators (Grundlehren der mathematischen Wissenschaften) Berline, Nicole, Ezra Getzler Michèle Vergne a. o.
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