ANALYSIS MANIFOLDS & PHYSICS REV.ED. / Edition 2

ANALYSIS MANIFOLDS & PHYSICS REV.ED. / Edition 2

by Yvonne Choquet-Bruhat
     
 

ISBN-10: 0444860177

ISBN-13: 9780444860170

Pub. Date: 09/28/2004

Publisher: Elsevier Science

This reference book, which has found wide use as a text, provides an answer to the needs of graduate physical mathematics students and their teachers. The present edition is a thorough revision of the first, including a new chapter entitled ''Connections on Principle Fibre Bundles'' which includes sections on holonomy, characteristic classes, invariant curvature

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Overview

This reference book, which has found wide use as a text, provides an answer to the needs of graduate physical mathematics students and their teachers. The present edition is a thorough revision of the first, including a new chapter entitled ''Connections on Principle Fibre Bundles'' which includes sections on holonomy, characteristic classes, invariant curvature integrals and problems on the geometry of gauge fields, monopoles, instantons, spin structure and spin connections. Many paragraphs have been rewritten, and examples and exercises added to ease the study of several chapters. The index includes over 130 entries.

Product Details

ISBN-13:
9780444860170
Publisher:
Elsevier Science
Publication date:
09/28/2004
Edition description:
Revised Edition
Pages:
656
Sales rank:
1,410,348
Product dimensions:
6.20(w) x 9.30(h) x 1.80(d)

Table of Contents

Preface. Chapters: I. Review of fundamental notions of analysis. II. Differential calculus on Banach spaces. III. Differentiable manifolds, finite dimensional case. IV. Integration on manifolds. V. Riemannian manifolds. Kählerian manifolds. V bis. Connections on a principle fibre bundle. VI. Distributions. VII. Differentiable manifolds, infinite dimensional case. References. Symbols. Index.

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