Lecture notes from MATH 2250: Complex Function Theory with Sergei Treil at Brown University for the Fall 2022 semester.
The main textbook of the course uses
T. W. Gamelin, Complex Analysis (Undergraduate Texts in Mathematics), Springer, 2003, ISBN 978-0-387-95069-3.
Some supplementary materials are also taken from
- L. Ahlfors, Complex analysis, third edition
- E. M. Stein and R. Shakarchi, Complex analysis (Princeton lectures in analysis, II).
- John B. Conway, Functions of one complex variable, vol. 1