Complex Analysis Book I want a really good book on Complex Analysis, for a good understanding of theory. There are many complex variable books that are only a list of identities and integrals and I hate it. For example, I found Munkres to be a very good book for learning topology, and "Curso de Análise vol I" by Elon Lages Lima is the best Real Analysis book (and the best math book) that I have read with many examples, good theory and challenging exercises.
An intuitive and introductory approach is not very important if the book has good explanations and has correct proofs.
Added: If it is possible, tell me your experience with your recommended books and if you got a really good understanding of complex analysis with a deep reading.

Ahlfors, Complex Analysis.  It is an absolute classic and, while spartan-seeming, is a fantastic introduction to the course.  It was actually my second introduction to the subject (I had it at an earlier undergraduate level using Churchill & Brown, which isn't bad, but no classic.)  That book, coupled with an amazing instructor, made a huge impact.  
