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Complex Analysis
Komplexe Analysis
Last Updated: 2026-02-05 15:19:45
Abstract
Basics of complex analysis in theory and applications, in particular the global properties of analytic functions. Introduction to the integral transforms used in signal theory and network analysis.
Objective
Basics of complex analysis in theory and applications, in particular the global properties of analytic functions. Introduction to the integral transforms used in signal theory and network analysis.
Content
Examples of analytic functions, conformality, Cauchy‘s theorem, Taylor and Laurent series, singularities of analytic functions, residues. Fourier series and Fourier integral, discrete and fast Fourier transform, Laplace transform.
Resources
Literature
P.P.G.Dyke: An Introduction to Laplace Transforms and Fourier Series. Springer 2004 Autographie "Komplexe Analysis, Fourier- und Laplace-Transformation", Prof. Ch. Blatter. E.Kreyszig: Advanced Engineering Analysis. Wiley 1999 A.Oppenheim, A.Willsky: Signals & Systems. Prentice Hall 1997 M.Spiegel: Laplace Transforms. Schaum's Outlines, Mc Graw Hill
General Information
- Language
- German
- Levels
- BSC
- Frequency
- Yearly recurring
Examination
- Type
- session examination
- Mode
- written 240 minutes
- Aids
- Handgeschriebene Zusammenfassung auf 20 Blättern (40 Seiten). Kein Taschenrechner, keine Bücher.
Course Components
| Type | Title | Time & Place | Hours |
|---|---|---|---|
| lecture with exercise |
Komplexe Analysis
(Räume HG G26.x wegen Umbau geschlossen)
|
|
4 h weekly |