Complex Analysis
Spring 2013
Course Outline
The notes from the first two quarters, Math 534-5, can be found
here.
Homework 4 due Monday May 13.
Homework 5 due Wednesday May 22.
Homework 6 due Wednesday May 29.
Notes including the
Uniformization Theorem. Warning: Lots of typos. These will be modified as the course
proceeds...
Books on reserve at the Math Library:
1. Ahlfors, Complex Analysis (If you are going to buy a book, buy this one)
2. Gamelin, Complex Analysis
3. Conway, Functions of One Complex Variable
4. Pommerenke, Univalent Functions
5. Ransford, Potential Theory
Other books you might consult:
4. Sarason, Notes on Complex Function Theory.
5. Greene and Krantz, Functions of One Complex Variable
6. Needham, Visual Complex Analysis (a bit too elementary, but
good geometry)
7. Rudin, Real and Complex Analysis
8. Hille, Analytic Function Theory, Vol. 1 and 2
9. Knopp, Theory of Functions (has lots of problems)