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Last update: T_MUUK (27.03.2008)
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Last update: LAVICKA (08.10.2007)
Rudin, W.: Real and complex analysis, McGraw-Hill, New York, 1966.
Taylor, J. L.: Several complex variables with connections to algebraic geometry and Lie groups, AMS, Providence, Rhode Island, 2005.
Jarník, V.: Diferenciální rovnice v komplexním oboru, Academia Praha, 1980
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Last update: LAVICKA (08.10.2007)
1. Functions of several complex variables (domains of convergence of power series, Hartogs' paradox and Hartogs' theorem).
2. Analytic functions (basic properties, monodromy theorem, Riemannian manifolds, singularities of analytic functions).
3. Differential equations in the complex domain (existence of solutions of the equation y'=f(x,y), Fuchs' theorem, Gauss' and Bessel's equation). |