Digitale Lehre
The lectures and the exercise sessions are held online as Zoom-Meetings. Material (e.g. recording of lectures, lecture notes, etc) will be made available on the Moodle page of the course.
Lehrinhalte
Cauchy-Riemann differential equations, curve integrals, Cauchys Integral Theorem and Formula; analyticity, Liouvilles Theorem and Fundamental Theorem of Algebra; Winding Number; Laurent series and isolated singularities, Residue Theorem.
Literatur
Bornemann: Funktionentheorie
Denk, Racke: Kompendium der Analysis
Fischer, Lieb: Einführung in die komplexe Analysis
Ahlfors: Complex Analysis
Janich: Funktionentheorie I
Needam: Visual complex analysis
Forst-Hoffman: Funktionentheorie erkunden mit Maple
Krantz: Complex variables - a physical approach with applications and matlab
Remmert-Schumacher: Funktionentheorie I
Voraussetzungen
recommended: Analysis and Linear Algebra
Online-Angebote
moodle
The lectures and the exercise sessions are held online as Zoom-Meetings. Material (e.g. recording of lectures, lecture notes, etc) will be made available on the Moodle page of the course.
Lehrinhalte
Cauchy-Riemann differential equations, curve integrals, Cauchys Integral Theorem and Formula; analyticity, Liouvilles Theorem and Fundamental Theorem of Algebra; Winding Number; Laurent series and isolated singularities, Residue Theorem.
Literatur
Bornemann: Funktionentheorie
Denk, Racke: Kompendium der Analysis
Fischer, Lieb: Einführung in die komplexe Analysis
Ahlfors: Complex Analysis
Janich: Funktionentheorie I
Needam: Visual complex analysis
Forst-Hoffman: Funktionentheorie erkunden mit Maple
Krantz: Complex variables - a physical approach with applications and matlab
Remmert-Schumacher: Funktionentheorie I
Voraussetzungen
recommended: Analysis and Linear Algebra
Online-Angebote
moodle
- Lehrende: Anonym
- Lehrende: Stefano Modena
Semester: WT 2020/21