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Books > Science & Mathematics > Mathematics > Calculus & mathematical analysis > Functional analysis

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An Introduction to Dirac Operators on Manifolds (Hardcover) Loot Price: R2,412
Discovery Miles 24 120
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An Introduction to Dirac Operators on Manifolds (Hardcover): Jan Cnops

An Introduction to Dirac Operators on Manifolds (Hardcover)

Jan Cnops

Series: Progress in Mathematical Physics, v. 24

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Loot Price R2,412 Discovery Miles 24 120 | Repayment Terms: R221 pm x 12*

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Dirac operators play an important role in several domains of mathematics and physics, for example: index theory, elliptic pseudodifferential operators, electromagnetism, particle physics, and the representation theory of Lie groups. In this essentially self-contained work, the basic ideas underlying the concept of Dirac operators are explored. Starting with Clifford algebras and the fundamentals of differential geometry, the text focuses on two main properties, namely, conformal invariance, which determines the local behavior of the operator, and the unique continuation property dominating its global behavior. Spin groups and spinor bundles are covered, as well as the relations with their classical counterparts, orthogonal groups and Clifford bundles. The chapters on Clifford algebras and the fundamentals of differential geometry can be used as an introduction to the above topics, and are suitable for senior undergraduate and graduate students. The other chapters are also accessible at this level so that this text requires very little previous knowledge of the domains covered. The reader will benefit, however, from some knowledge of complex analysis, which gives the simplest example of a Dirac operator. More advanced readers---mathematical physicists, physicists and mathematicians from diverse areas---will appreciate the fresh approach to the theory as well as the new results on boundary value theory.

General

Imprint: Birkhauser Boston
Country of origin: United States
Series: Progress in Mathematical Physics, v. 24
Release date: September 2002
First published: July 2002
Authors: Jan Cnops
Dimensions: 235 x 155 x 16mm (L x W x T)
Format: Hardcover
Pages: 221
ISBN-13: 978-0-8176-4298-3
Categories: Books > Science & Mathematics > Physics > General
Books > Science & Mathematics > Mathematics > Calculus & mathematical analysis > Complex analysis
Books > Science & Mathematics > Mathematics > Calculus & mathematical analysis > Functional analysis
Books > Science & Mathematics > Mathematics > Geometry > Differential & Riemannian geometry
Books > Science & Mathematics > Mathematics > Applied mathematics > Mathematics for scientists & engineers
LSN: 0-8176-4298-6
Barcode: 9780817642983

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