401-0302-10L Complex Analysis
Semester | Spring Semester 2017 |
Lecturers | T. H. Willwacher |
Periodicity | yearly recurring course |
Language of instruction | German |
Abstract | Basics 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 |
Objective | Erwerb von einigen grundlegenden Werkzeuge der komplexen Analysis. |
Content | Examples of analytic functions, Cauchy‘s theorem, Taylor and Laurent series, singularities of analytic functions, residues. Fourier series and Fourier integral, Laplace transform. |
Literature | M. 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 / Notice | Prerequisites: Analysis I and II |