Manifold theory : an introduction for mathematical physicists /

Manifold theory : an introduction for mathematical physicists /

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Bibliographic Details
Main Authors:	Martin, Daniel, 1915-, Martin, Daniel, 1915-2006, Martin, Daniel, 1915-2006-
Format:	Book
Language:	English
Published:	Chichester : E. Horwood, 2002 Chichester, UK : c2002
Edition:	Corrected ed
Series:	Ellis Horwood series in mathematics and its applications Mathematics and its applications (Chichester, England : 1988) Statistics, operational research, and computational mathematics Mathematics and its applications (Chichester, England : 1988) Statistics, operational research, and computational mathematics.
Subjects:	Global analysis (Mathematics) Manifolds (Mathematics) Physics

Table of Contents:

1 Vector spaces
2. Tensor algebra
3. Differentiable manifolds
4. Vector and tensor fields on a manifold
5. Exterior differential forms
6. Differentiation on a manifold
7. Pseudo-Riemannian and Riemannian manifolds
8. Symplectic manifolds
9. Lie groups
10. Integration on a manifold
11. Fibre bundles
12. Complex linear algebra. Almost complex manifolds
App. 1. Analytic topology
App. 2. Quaternions and Cayley numbers
App. 3. The semidirect product of two groups
App. 4. Homotopy review.
1 Vector spaces
2. Tensor algebra
3. Differentiable manifolds
4. Vector and tensor fields on a manifold
5. Exterior differential forms
6. Differentiation on a manifold
7. Pseudo-Riemannian and Riemannian manifolds
8. Symplectic manifolds
9. Lie groups
10. Integration on a manifold
11. Fibre bundles
12. Complex linear algebra. Almost complex manifolds
App. 1. Analytic topology
App. 2. Quaternions and Cayley numbers
App. 3. semidirect product of two groups
App. 4. Homotopy review.