Francesca Da Lio: Catalogue data in Spring Semester 2023

Name Prof. Dr. Francesca Da Lio
Address
Dep. Mathematik
ETH Zürich, HG G 37.4
Rämistrasse 101
8092 Zürich
SWITZERLAND
Telephone+41 44 632 86 96
Fax+41 44 632 10 85
E-mailfrancesca.dalio@math.ethz.ch
URLhttp://www.math.ethz.ch/~fdalio
DepartmentMathematics
RelationshipAdjunct Professor

NumberTitleECTSHoursLecturers
401-0302-10LComplex Analysis Restricted registration - show details 4 credits3V + 1UF. Da Lio
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
Learning 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.
LiteratureJ. 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 / NoticePrerequisites: Analysis I and II
401-5350-00LAnalysis Seminar Information 0 credits1KF. Da Lio, A. Figalli, N. Hungerbühler, M. Iacobelli, T. Ilmanen, T. Rivière, J. Serra, University lecturers
AbstractResearch colloquium
Learning objective
ContentResearch seminar in Analysis