Functions of Complex Variables

Garant předmětu:

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Department of Applied Mathematics

Synopsis:

Knowledge of basic ideas of the theory of complex functions of one complex variable and some of its applications.

Requirements:

Differential and integral calculus of functions of several variables.

Syllabus of lectures:

Power series, holomorphic functions, Cauchy's theorem, expansion of holomorphic functions in power series, meromorphic functions and their expansion in Laurent series, residuum and residue theorem, basic ideas of Laplace and z-transformations.

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Study materials:

Nagy J., Navrátil O.: Funkce komplexní proměnné, Praha, Vydavatelství ČVUT, skriptum FD, 2000, Fuks B. A., Šabat B. V.: Funkce komplexní proměnné, Praha, Přírod. vydavatelství, 1953, Černý I.: Analýza v komplexním oboru, Praha, Academia, 1983

Note:

Further information:

No time-table has been prepared for this course

The course is a part of the following study plans: