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Instructors: Prof. Ph.D. Stefano Modena; Dr. phil. Gabriele Bogo
Event type:
Lecture & Exercise
Org-unit: Dept. 04 - Mathematics
Displayed in timetable as:
Complex Analysis
Subject:
Crediting for:
Hours per week:
3
Language of instruction:
Englisch
Min. | Max. participants:
- | -
Digital Teaching:
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.
Course Contents:
Cauchy-Riemann differential equations, curve integrals, Cauchy’s Integral Theorem and Formula; analyticity, Liouville’s Theorem and Fundamental Theorem of Algebra; Winding Number; Laurent series and isolated singularities, Residue Theorem.
Literature:
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
Preconditions:
recommended: Analysis and Linear Algebra
Online Offerings:
moodle
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