SubjectsSubjects(version: 945)
Course, academic year 2023/2024
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Introduction to Complex Analysis - NMAA021
Title: Úvod do komplexní analýzy
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
Teaching methods: full-time
Classification: Mathematics > Real and Complex Analysis
Pre-requisite : {Math. Analysis 2a, 2b}, {Measure theory and integral I, II}
Interchangeability : NMAA020, NMAA033, NMMA301
Is incompatible with: NMMA901, NMMA301
Is pre-requisite for: NDIR005
Is interchangeable with: NMMA301, NMAA020
Annotation -
Last update: LAVICKA/MFF.CUNI.CZ (14.10.2008)
Fundamental course for students of mathematics. An introductionary course of Complex Analysis: derivatives in complex domain, holomorphic functions, curvilinear integral in complex domain, power series, isolated singularities of holomorphic functions, Laurent series, residuum theorem and its applications, meromorphic functions, argument principle.
Aim of the course -
Last update: LAVICKA/MFF.CUNI.CZ (29.05.2008)

Introduction to complex analysis.

Literature - Czech
Last update: LAVICKA/MFF.CUNI.CZ (03.10.2008)
Základní literatura

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

Novák, B.: Analýza v komplexním oboru (skripta), SPN Praha, 1980

Kopáček, J.: Příklady z matematiky pro fyziky IV, skripta MFF.

Doplňková literatura.

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

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

Lecture and exercises

Syllabus -
Last update: T_KMA (15.05.2003)

Complex analytic functions, complex path integrals, Taylor and Laurent series, isolated singularities of complex functions, residues, applications.

 
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