Reading list

There are a large number of books on complex variable. The best book to learn the material is the one you find the best. Here is a somewhat random and unsorted list:

Complex Analysis: T. Gamelin

Complex Analysis: G. Cain

Complex Analysis: L. Ahflors

Complex Analysis: K. Houston

Functions of One Complex Variable: J. Conway

Introduction to Complex Analysis Lecture notes: W. Chen

The theory of functions: E. Titchmarsh