Which book on complex analysis is good for self study?

Question

Which book on complex analysis is good for self study?

I am an average student and have just a very basic knowledge of this subject. I want to cover up to Runge's Theorem.

I heard about few books- Gamelin's Complex Analysis; a text by Churchill and another Ahlfors' Complex analysis.

Thank you.

Answer 1

Gamelin is quite good. After or together with it, I recommend you to read the following.

• Reinhold Remmert. Theory of complex functions. Springer 1991.

Then there is the second volume:

• Reinhold Remmert. Classical topics in complex function theory. Springer 2010.

Answer 2

Gilman, Kra and Rodriguez, wrote the excellent book "Complex Analysis in the Spirit of Lipman Bers". It has everything you need to study complex analysis and has great exercises.

Answer 3

Nice link ;)

• Visual Complex Analysis (Tristan Needham)
• Visual Complex Functions:An introduction with phase portraits (Elias Wegert)

Enjoy Them...