advanced mathematical methods  

I. Tensor calculus 1) tensor algebra, 2) tensor analysis: covariant derivative, parallel transport, 3) Lie derivative, Killing vectors, differential forms II. Complex analysis 1) Cauchy-Riemann conditions, 2) Cauchy theorem, 3) residua and its applications, 4) contour integration, 5) Green functions. III. Elements of group theory 1) introduction to discrete and continuous group, 2) basics of representation theory, Schur lemmae, 3) elements of Lie group and Lie algebra theory.
Presential
English
advanced mathematical methods
English

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