Complex Analysis
Spring 2013
Course Outline
The notes from the first two quarters, Math 534-5, can be found
here.
Jordan Curve Theorem from
Pommerenke, Ch., Univalent Functions, Vandenhoeck and Ruprecht.
Caratheodory's Theorem
mostly from
Garnett and Marshall, Harmonic Measure, Cambridge Univ. Press, 2005.
Homework 4 due Wednesday May 8.
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)