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401-0302-10L  Complex Analysis

SemesterSpring Semester 2016
LecturersT. Bühler
Periodicityyearly recurring course
Language of instructionGerman

AbstractBasics of complex analysis in theory and applications, in particular the global properties of analytic functions. Introduction to the integral transforms and description of some applications
ObjectiveErwerb von einigen grundlegenden Werkzeuge der komplexen Analysis.
ContentExamples of analytic functions, Cauchy‘s theorem, Taylor and Laurent series, singularities of analytic functions, residues. Fourier series and Fourier integral, Laplace transform.
LiteratureM. Ablowitz, A. Fokas: "Complex variables: introduction and applications", Cambridge Text in Applied Mathematics, Cambridge University Press 1997

E. Kreyszig: "Advanced Engineering Analysis", Wiley 1999

J. Brown, R. Churchill: "Complex Analysis and Applications", McGraw-Hill 1995

J. Marsden, M. Hoffman: "Basic complex analysis", W. H. Freeman 1999

P. P. G. Dyke: "An Introduction to Laplace Transforms and Fourier Series", Springer 2004

Ch. Blatter: "Komplexe Analysis, Fourier- und Laplace-Transformation", Autographie

A. Oppenheim, A. Willsky: "Signals & Systems", Prentice Hall 1997

M. Spiegel: "Laplace Transforms", Schaum's Outlines, Mc Graw Hill
Prerequisites / NoticePrerequisites: Analysis I and II