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Vector and tensor analysis

Summary

The main goal consist in the elements of tensor algebra and tensor analysis in
cartesian coordinate systems. The properties of
tensor fields are studied using local and global characteristics. Applications
are illustrated above all in the frame of static and dynamic elasticity as well
as on several problems of the electromagnetic fields in anisotropic media.

Literature

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. ISBN 87-7681-206-5 
Hess, S.: Tensors for Physics, Springer, 2015

Advised literature

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


Language of instruction čeština, čeština, angličtina
Code 714-0767
Abbreviation VeTeA
Course title Vector and tensor analysis
Coordinating department Department of Mathematics and Descriptive Geometry
Course coordinator doc. RNDr. Jaroslav Vlček, CSc.