Some recommended texts on complex analysis
There are too many books on complex analysis, written from various viewpoints.
Just go to Math Library and look at call number QA331. I have tried
to compile a small list below, in an ascending order (from basic to
highly advanced). These books are not required for the course,
but are only mentioned here upon request from a few students.

R.V. Churchill: Complex variables and applications This is a basic
text on complex numbers. The list of topics covered in this book pretty much
coincide with the first half of the course. You can find a lot of problems
for practice in this book.

J. B. Conway: Functions of one complex variable I This book is
a graduate text, hence more advanced than the previous one. Even then,
it is very clearly written text and fun to read.

R. Narasimhan: Complex analysis in one variable This book is a really nice
text on modern approach to complex analysis. On the other hand, it is written
for mathematicians, and perhaps not suitable for a first course in complex
analysis.

E.T. Whittaker and G.N. Watson: A course of modern analysis
WhittakerWatson is to complex analysis what Notes from underground
is to existentialism. Although, it might not be suitable for a first course either.