Differential Geometry and Mathematical Physics

Name: Differential Geometry and Mathematical Physics
SKU: 20762266
Price: 436.00 NZD
Availability: InStock

Part I. Manifolds, Lie Groups and Hamiltonian Systems

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Format:

Hardback

Series:

Theoretical and Mathematical Physics

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Description

Starting from an undergraduate level, this book systematically develops the basics of • Calculus on manifolds, vector bundles, vector fields and differential forms, • Lie groups and Lie group actions, • Linear symplectic algebra and symplectic geometry, • Hamiltonian systems, symmetries and reduction, integrable systems and Hamilton-Jacobi theory. The topics listed under the first item are relevant for virtually all areas of mathematical physics. The second and third items constitute the link between abstract calculus and the theory of Hamiltonian systems. The last item provides an introduction to various aspects of this theory, including Morse families, the Maslov class and caustics. The book guides the reader from elementary differential geometry to advanced topics in the theory of Hamiltonian systems with the aim of making current research literature accessible. The style is that of a mathematical textbook,with full proofs given in the text or as exercises. The material is illustrated by numerous detailed examples, some of which are taken up several times for demonstrating how the methods evolve and interact.

Release date NZ

November 10th, 2012

Author

Audience

Professional & Vocational

Illustrations

XIV, 762 p.

Pages

762

Series

Theoretical and Mathematical Physics

Dimensions

156x234x41

ISBN-13

9789400753440

Product ID

20762266

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