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Theory of Complex Variable Functions I - NMAA016

Title:	Teorie funkcí komplexní proměnné I
Guaranteed by:	Department of Mathematical Analysis (32-KMA)
Faculty:	Faculty of Mathematics and Physics
Actual:	from 2022
Semester:	summer
E-Credits:	6
Hours per week, examination:	summer 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
Teaching methods:	full-time

Classification:	Mathematics > Real and Complex Analysis
Interchangeability :	NMMA338
Is incompatible with:	NMMA338
Is interchangeable with:	NMMA338

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Annotation -

Last update: T_KMA (22.05.2001)

Advanced Complex Analysis, Part I (the continuation of the fundamental course MAA021). Constructive theory of functions, harmonic functions in two variables, spaces of holomorphic function. Conformal mapping.

Aim of the course -

Last update: LAVICKA/MFF.CUNI.CZ (29.05.2008)

Advanced topics in complex analysis.

Literature - Czech

Last update: T_KMA (22.05.2003)

Rudin, W.: Reálná a komplexní analýza, Academia Praha, 1977

Novák, B.: Funkce komplexní proměnné (skripta), SPN Praha, 1980

Luecking, D.H., Rubel, L.A.: Complex Analysis, A Functional Analysis Approach, Springer-Verlag, Universitext, 1984

Veselý, J.: Komplexní analýza, Karolinum Praha, 2000

Teaching methods -

Last update: LAVICKA/MFF.CUNI.CZ (29.05.2008)

Lecture and exercises

Syllabus -

Last update: G_M (04.05.2010)

Holomorphic and meromorphic functions, Weierstrass and Mittag- Leffler theorems. Conformal mapping, Riemann theorem, boundary properties of conformal mappings. Spaces H(G) and its dual spaces. Applications of Hahn-Banach theorem: Cauchy theorem, Runge theorem and its applications.