Geometrical properties of vectors and convectors : an introductory survey of differentiable manifolds, tensors and forms /
This is a brief introduction to some geometrical topics including topological spaces, the metric tensor, Euclidean space, manifolds, tensors, r- forms, the orientation of a manifold and the Hodge star operator. It provides the reader who is approaching the subject for the first time with a deeper un...
Clasificación: | Libro Electrónico |
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Autor principal: | |
Formato: | Electrónico eBook |
Idioma: | Inglés |
Publicado: |
Hackensack, NJ :
World Scientific,
©2006.
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Temas: | |
Acceso en línea: | Texto completo |
Tabla de Contenidos:
- 1. Topological spaces
- 2. Metric tensor
- 3. Differentiable manifolds. 3.1 Basic definitions. 3.2. Tangent vectors and spaces. 3.3. Parallelization
- 4. Metric dual
- 5. Tensors
- 6. r-Forms
- 7. Orientation of a manifold
- 8. Hodge star operator
- 9. Wedge product and cross product.