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Ukončeno v akademickém roce 2018/2019

Tensor Analysis

Type of study Follow-up MasterMaster
Language of instruction Czech
Code 714-0433/02
Abbreviation TA
Course title Tensor Analysis
Credits 4
Coordinating department Department of Mathematics and Descriptive Geometry
Course coordinator doc. RNDr. Jaroslav Vlček, CSc.

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