Functions of One Complex Variable I - John B. Conway

"This book presents a basic introduction to complex analysis in both an interesting and a rigorous manner. It contains enough material for a full year''s course, and the choice of material treated is reasonably standard and should be satisfactory for most first courses in complex analysis. The approach to each topic appears to be carefully thought out both as to mathematical treatment and pedagogical presentation, and the end result is a very satisfactory book." --MATHSCINET