Manifold theory : an introduction for mathematical physicists

Bibliographic Information

Manifold theory : an introduction for mathematical physicists

Daniel Martin

(Ellis Horwood series in mathematics and its applications)

E. Horwood, c1991

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Note

Bibliographical references: p. [409]-411

Includes index

Description and Table of Contents

Description

This book aims to provide a clear account of basic manifold theory and global analysis. It starts with a review of the relevant parts of vector space theory and covers basic analytical topology, thus providing sufficient background information to enable students of both mathematics and physics to make full use of the text. Numerous worked and unworked examples are included.

Table of Contents

  • Vector spaces
  • tensor algebra
  • differential manifolds
  • vector and tensor fields on a manifold
  • exterior differential forms
  • differentiation on a manifold
  • pseudo-Riemannian and Riemannian manifolds
  • symplectic manifolds
  • lie groups
  • integration on a manifold
  • fibre bundles
  • complex linear algebra and almost complex manifolds.

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