Manifold theory : an introduction for mathematical physicists
著者
書誌事項
Manifold theory : an introduction for mathematical physicists
（Ellis Horwood series in mathematics and its applications）
E. Horwood, c1991
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注記
Bibliographical references: p. [409]-411
Includes index
内容説明・目次
内容説明
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.
目次
- 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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