COMPLEX ANALYSIS
Syllabus Math 632
- Office Hours:
- Ungar Building, Office 401: Tuesday 4.30-5.30pm or Thursday 4.30-5.30pm
- Or by appointment.
- Texts:
- Primary text: "Complex Analysis in One Variable", Raghvan Narasimhan (& Yves
Nieverg),
Birkhauser Boston, 2nd
Edition
- Secondary text: "Complex Analysis", Lars V.Ahlfors, McGraw-Hill, 3rd Edition
- Contents (for the full year):
- Elementary Theory of Holomorphic Functions, Covering Spaces and the Monodromy
Theorem, The Winding Number and Residue Theorem, Picard's Theorem, Inhomogeneous
Cauchy-Riemann Equation and Runge's Theorem, Applications of Runge's Theorem, Riemann
mapping theorem, A Gist of Several complex variables, Compact Riemann surfaces,
Subharmonic Functions and the Dirichelt Problem
- Grading: