Tensors for Physics
This book presents the science of tensors in a didactic way. The various types and ranks of tensors and the physical basis is presented. Cartesian Tensors are needed for the description of directional phenomena in many branches of physics and for the characterization the anisotropy of material prope...
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| Format: | eBook |
| Language: | English |
| Published: |
Cham
Springer International Publishing
2015, 2015
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| Edition: | 1st ed. 2015 |
| Series: | Undergraduate Lecture Notes in Physics
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| Subjects: | |
| Online Access: | |
| Collection: | Springer eBooks 2005- - Collection details see MPG.ReNa |
Table of Contents:
- Introduction
- Basics
- Symmetry of Second Rank Tensors, Cross Product
- Epsilon-Tensor
- Symmetric Second Rank Tensors
- Summary: Decomposition of Second Rank Tensors
- Fields, Spatial Differential Operators
- Integration of Fields
- Irreducible Tensors
- Multiple Potentials
- Isotropic Tensors
- Integral Formulae
- Spin Operators
- Rotation of Tensors
- Liquid Crystals
- Constitutive Relations
- Tensor Dynamics
- Maxwell Equations, from 3D to 4D
- Exercises: Answers and Solutions