Ukončeno v akademickém roce 2019/2020

Vector and tensor analysis

Type of study	Follow-up Master
Language of instruction	Czech
Code	714-0767/01
Abbreviation	VeTeA
Course title	Vector and tensor analysis
Credits	3
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, etc.

E-learning

www.mdg.vsb.cz

Povinná literatura

Akivis, M. A. - Goldberg, V.V.: An Introduction to Linear Algebra and Tensors. Dover Publ., N.Y. 1993
MEJLBRO, L. Calculus 2b – Real Functions in Several Variables. http://bookboon.com/cs/calculus-2b-3-ebook.
Hess, S.: Tensors for Physics, Springer, 2015

Doporučená literatura

Maxum, B.: Field Mathematics for Electromagnetics, Photonics and Materials Science. SPIE Press, Bellingham (USA), 2005
SPIEGEL, R. M., LIPSCHUTZ, S., SPELLMAN, D. Vector Analysis, 2nd edition, McGraw-Hill, 2009, ISBN 978-7161-545-7

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