Tensor Analysis
| Type of study | Follow-up Master |
|---|---|
| Language of instruction | English |
| Code | 310-3341/02 |
| Abbreviation | TA |
| Course title | Tensor Analysis |
| Credits | 4 |
| Coordinating department | Department of Mathematics and Descriptive Geometry |
| Course coordinator | Mgr. Jiří Krček, Ph.D. |
Subject syllabus
1. Orthogonal transformation, Cartesian tensors
2. Tensor algebra
3. Vector and tensor field, derivatives and differential operators
4. Local and global characteristics of vector fields
5. Fundamentals of tensor apparatus in static theory of elasticity
6. Stress and strain tensor, Hooke's law
7. Equations of dynamic theory of elasticity
8. Facultative themes: material anisotropy in optics, thermoelasticity atc.
2. Tensor algebra
3. Vector and tensor field, derivatives and differential operators
4. Local and global characteristics of vector fields
5. Fundamentals of tensor apparatus in static theory of elasticity
6. Stress and strain tensor, Hooke's law
7. Equations of dynamic theory of elasticity
8. Facultative themes: material anisotropy in optics, thermoelasticity atc.
E-learning
www.mdg.vsb.cz
Literature
Akivis, M. A. - Goldberg, V. V.: An Introduction to Linear Algebra and Tensors.
Dover Publ., New York etc., 1993
Dover Publ., New York etc., 1993
Advised literature
Maxum, B.: Field Mathematics for Electromagnetics, Photonics and Material Science. SPIE Press, Bellingham, USA, 2004