Tensor Calculus and Differential Geometry for Engineers With Solved Exercises /
The book contains the basics of tensor algebra as well as a comprehensive description of tensor calculus, both in Cartesian and curvilinear coordinates. Some recent developments in representation theorems and differential forms are included. The last part of the book presents a detailed introduction...
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| Main Authors: | , |
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| Institution som forfatter: | |
| Format: | Electronisk eBog |
| Sprog: | engelsk |
| Udgivet: |
Cham :
Springer Nature Switzerland : Imprint: Springer,
2023.
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| Udgivelse: | 1st ed. 2023. |
| Fag: | |
| Online adgang: | https://doi.org/10.1007/978-3-031-33953-0 |
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Indholdsfortegnelse:
- Algebra of Vectors
- Algebra of Tensors
- Algebra of Higher-Order Tensors
- Eigenvalues, Eigenvectors and Spectral Decompositions of Tensors
- Representation of Tensorial Variables in Curvilinear Coordinates
- Differentiation of Tensor Functions and Representation Theorems
- Gradient and Related Operators
- Integral Theorems and Differential Forms
- Differential Geometry of Surfaces and Curves.