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Concepts from tensor analysis and differential geometry /
| Call Number: | Libro Electrónico |
|---|---|
| Other Authors: | |
| Format: | Electronic eBook |
| Language: | Inglés |
| Published: |
Amsterdam :
Elsevier Science,
1961.
|
| Series: | Mathematics in science and engineering ;
v. 1. |
| Subjects: | |
| Online Access: | Texto completo Texto completo Texto completo |
Table of Contents:
- Coordinate manifolds
- Scalars
- Vectors and tensors
- Special skew-symmetric tensor
- Vector product, curl of a vector
- Riemann spaces
- Affinely connected spaces
- Normal coordinates
- General theory of extension
- Absolute differentiation
- Differential invariants
- Transformation groups
- Euclidean metric space
- Homogeneous and isotropic tensors
- Curves in spsace, Frenet formulae
- Surfaces in space
- Mixed surface and space tensors, coordinate extension and absolute differentiation
- Formulae of Gauss and Weingarten
- Gaussian and mean curvature of a surface
- Equations of Gauss and Codazzi
- Principla curvatures and principal directions
- Asymptotic lines
- Orthogonal ennuples and normal congruences
- Families of parallel surfaces
- Developable surfaces, minimal surfaces.