稀少、書込み線引き押印等無し
【書名】
MANIFOLD THEORY - an introduction for mathematical physicists
【著者】
Daniel Martin
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
Appendix 1: Anayltic topology
Appendix 2: Quaternions and Cayley numbers
Appendix 3: The semidirect product of two groups
Appendix 4: Homotopy review