# 401-0302-10L Complex Analysis

Semester | Spring Semester 2020 |

Lecturers | A. Iozzi |

Periodicity | yearly recurring course |

Language of instruction | German |

Comment | as of 4 March 2020: The lecturer and many students are in the lecture hall, but some students are absent. The lecture is recorded. |

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 | J. Brown, R. Churchill: "Complex Analysis and Applications", McGraw-Hill 1995 T. Needham. Visual complex analysis. Clarendon Press, Oxford. 2004. 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. Marsden, M. Hoffman: "Basic complex analysis", W. H. Freeman 1999 P. P. G. Dyke: "An Introduction to Laplace Transforms and Fourier Series", Springer 2004 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 |