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Course annotation
KMA/ZKA
-IS/STAG
The aim of this course is an introduction to complex analysis and the illustration of differences and connections between real and complex analysis. Differential calculus of complex functions, Cauchy-Riemann conditions, harmonic functions. Integral calculus of complex functions, the Cauchy´s integral theorem and formulas, the isolated singularities and the residues. The theoretical tools will be demonstrated on illustrative examples of the Laplace and the Fourier transforms.