V63.0394: Complex Variables II
| Instructor: |
Eliezer Hameiri |
| Term: | Spring 2011 |
| Office: | 1030 WWH |
| Office hours: | TBD and by appointment |
| Phone: | 212-998-3272 |
| Email: | hameiri@cims.nyu.edu |
Prerequisites
Students who wish to enroll in Complex Variables II must meet the following prerequisites:
- Prerequisite: Complex Variables I or approval of the director of the honors program.
Goals and Topics
The
fundamental theorem of algebra, the argument principle; calculus of
residues, Fourier transform; the Gamma and Zeta functions, product
expansions; Schwarz principle of reflection and Schwarz-Christoffel
transformation; elliptic functions, Riemann surfaces; conformal mapping
and univalent functions; maximum principle and Schwarz's lemma; the
Riemann mapping theorem. Nehari, Conformal Mapping; Ahlfors,
Complex Analysis.
Detailed Topics
Course Details
Textbook
L. Ahlfors: Complex AnalysisRecommended:
J. Brown and R. Churchill: Complex Variables
Z. Nehari: Conformal Mapping
M. Spiegel: Schaum’s Outline: Complex Variables