Funktionenetheorie

This course will be presented based on the knowledge of the Bachelor course "Elemente der Funktionentheorie". Besides reminding some basic results of complex analysis, we will cover the following topics:

  • Partial complex differentiations, the complex Green-Gauss integral theorem and the general Cauchy integral theorem,
  • Residue theorem and its applications,
  • Conformal mappings, the Möbius transformations and Riemann sphere, Riemann's Mapping theorem,
  • Riemann zeta function,
  • Harmonic functions, boundary value problems.

Betreuung

Dozent: Prof. Dr. Friedmar Schulz
Übungsleiter: Dr. Kim-Hang Le

Umfang

  • ECTS-Punkte: 9
  • 4+2 SWS

Termine und Räume

  • Lecture (starting on 17.10.17)
    • Tuesday 10:0012:00:           He18, E20
    • Wednesday 12:0014:00:      He18, E20
  • Exercises (starting on 27.10.17)
    • Friday 12:0014:00:          He18, E60

Please enroll in Moodle!

Literatur

  • Reinhold Remmert: Funktionentheorie I/II
  • Tutschke, W., Vasudeva, H.L.: An Introduction to Complex Analysis, Chapman&Hall / CRC 
  • Freitag, E., Busam, R.: Funktionentheorie, Springer