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Instructors: Prof. Ph.D. Stefano Modena; Dr. phil. Gabriele Bogo; M. A. Simone Ciani
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 are held online as Zoom-Meetings. Exercise sessions will be part in presence and part online (Zoom). For more info please look at the Moodle page of the course. Material (e.g. recording of lectures, lecture notes, etc) will be made available on the Moodle page of the course.
ATTENTION: since we don't know yet how many exercise groups will have the possibility of meeting in presence, the registration for the course will start on 20.09.2021.
UPDATE (20.09.2021): Exercise groups 1 and 2 are (only) in presence, and they are reserved for math students. For each one of the two groups only 20 places are available. All other exercise groups are (only) online.
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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