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Tensors and manifolds : with applications to physics /
"This book is a new edition of Tensors and Manifolds: With Applications to Mechanics and Relativity which was published in 1992. It is based on courses taken by advanced undergraduate and beginning graduate students in mathematics and physics, giving an introduction to the expanses modern mathe...
| Clasificación: | Libro Electrónico |
|---|---|
| Autor principal: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Oxford ; New York :
Oxford University Press,
[2004]
|
| Edición: | Second edition. |
| Temas: | |
| Acceso en línea: | Texto completo |
Tabla de Contenidos:
- Vector spaces
- Multilinear mappings and dual spaces
- Tensor product spaces
- Tensors
- Symmetric and skew-symmetric tensors
- Exterior (Grassmann) algebra
- The tangent map of real Cartesian spaces
- Topological spaces
- Differentiable manifolds
- Submanifolds
- Vector fields, 1-forms and other tensor fields
- Differentiation and integration of differential forms
- The flow and the lie derivative of a vector field
- Integrability conditions for distributions and for Pfaffian Systems
- Pseudo-Riemannian manifolds
- Connection 1-forms
- Connection on manifolds
- Mechanics
- Additional topics in mechanics
- A spacetime
- Some physics on Minkowski spacetime
- Einstein spacetimes
- Spacetimes near an isolated star
- Nonempty spacetimes-- Lie groups.
- Fiber bundles
- Connections on fiber bundles
- Gauge theory.