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Vector and Tensor Analysis

Type of study Doctoral
Language of instruction Czech
Code 310-4000/01
Abbreviation VeTeA
Course title Vector and Tensor Analysis
Credits 10
Coordinating department Department of Mathematics and Descriptive Geometry
Course coordinator prof. RNDr. Radek Kučera, Ph.D.

Subject syllabus

1. Orthogonal transformation, Cartesian tensors, tensor algebra
2. Vector and tensor field, derivatives and differential operators
3. Curvilinear and surface integrals, integral theorems
4. Local and global characteristics of vector fields
5. Fundamentals of tensor apparatus in static theory of elasticity
6. Equations of dynamic theory of elasticity
7. Facultative themes: anisotropy of materials, thermoelasticity etc.

Literature

Akivis, M. A. - Goldberg, V.V.: An Introduction to Linear Algebra and Tensors. Dover Publications, N.Y. 1993

Advised literature

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