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Theory of Complex Variable Functions II - NMAA067

Title:	Teorie funkcí komplexní proměnné II
Guaranteed by:	Department of Mathematical Analysis (32-KMA)
Faculty:	Faculty of Mathematics and Physics
Actual:	from 2022
Semester:	winter
E-Credits:	6
Hours per week, examination:	winter s.:2/2, C+Ex [HT]
Capacity:	unlimited
Min. number of students:	unlimited
4EU+:	no
Virtual mobility / capacity:	no
State of the course:	cancelled
Language:	Czech
Teaching methods:	full-time

Classification:	Mathematics > Real and Complex Analysis
Incompatibility :	NMAA015
Interchangeability :	NMMA408
Is incompatible with:	NMMA408
Is interchangeable with:	NMMA408

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Annotation -

Advanced Complex Analysis, Part II (the continuation of MAA016). Functions of several complex variables. Analytic functions. Differential equations in the complex domain.

Last update: T_MUUK (27.03.2008)

Literature -

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

Last update: LAVICKA (08.10.2007)

Syllabus -

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).

Last update: LAVICKA (08.10.2007)