After successful completion of the course, students are able to.unerstand and apply
basic concepts and methods from advanced analysis, in particulat concerning
finite-dimensional function spaces, infinite-dimensional spaces (basics of function analysis),
and complex analysis.

Advances concepts and methods of mathematical analysis, in particular in several variables. Analysisof functions of several variables: diefferentiation, integration; function spaces, Hilbert space methods, Fourier analysis, Sturm-Liouville problems; complex analysis-

Lecture including discussions; presentation of algorithms and numerical results via computer (if applicable).

Hompepage: http://www.asc.tuwien.ac.at/~winfried/teaching/103.087/

http://www.asc.tuwien.ac.at/~us/Termine.htm

written examination The examination comprises two parts (problem solving and questions about theory); the use of written material is not permitted.

Lecture notes for this course are available. Grafisches Zentrum, Freihaus rot, EG

Analysis I, Linear Algebra