Screen LibraryConcepts from tensor analysis and differential geometry /
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| Corporate Authors: | |
|---|---|
| Group Author: | |
| Published: |
Elsevier Science,
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| Publisher Address: | Amsterdam : |
| Publication Dates: | 1961. |
| Literature type: | eBook |
| Language: | English |
| Series: |
Mathematics in Science and Engineering ;
v. 1 |
| Subjects: | |
| Online Access: |
http://www.sciencedirect.com/science/bookseries/00765392/1 |
| Item Description: | Includes index. |
| Carrier Form: | 1 online resource (v, 119 pages). |
| ISBN: |
9780123749154 0123749158 |
| Index Number: | QA641 |
| CLC: | O186.1 |
| 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. |