Tensor Analysis

Type of study	MasterFollow-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.

Osnova předmětu

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.

E-learning

www.mdg.vsb.cz

Povinná literatura

Akivis, M. A. - Goldberg, V. V.: An Introduction to Linear Algebra and Tensors.
Dover Publ., New York etc., 1993

Doporučená literatura

Maxum, B.: Field Mathematics for Electromagnetics, Photonics and Material Science. SPIE Press, Bellingham, USA, 2004

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