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.
 A: 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.  
A: I had really good luck with Fisher's Complex Variables and Gamelin's Complex Analysis.
A: Look up this free complex analysis  book by Shabbat http://math.stanford.edu/~ryzhik/shabat-all.pdf
A: Elias Wegert's book:
 Visual Complex Functions: An Introduction Using Phase Portraits might not be so good for analytic techniques, but I've found it to be really good for honing one's intuition. (it's the first of a planned two volume set).
A: I think Serge Lang's book on Complex Analysis is a good a one to go with.
http://www.amazon.com/Complex-Analysis-Graduate-Texts-Mathematics/dp/0387985921
A: No one has mentioned here, but 'A First Course in Complex Analysis with Applications' by zill is my favourite book. It is so clear and comprehensive, and much simpler and intutive explainantions.
A: Complex Analysis, by Beardon is unmatched in quality. I put it above Ahlfors, because in the preface of Ahlfors CA, Allen F Beardon is mentioned with gratitude. 
A: as my opinion s.ponnusamy ''foundation of complex analysis'' is the best book.
same concepts are taught in simple and different way.
A: Complex Analysis by Kunihiko Kodaira
A: An Introduction to Complex Analysis 
by Ravi P. Agarwal , Kanishka Perera , Sandra Pinelas 
is a fantastic book!
A: My biggest recommendation is Tristan Needham's Visual Complex Analysis. Although not a strict textbook, all of the traditional theorems in elementary complex analysis are covered. Proofs aren't thorough, but are instead explained geometrically in general outlines. The big advantage with this book is the massive amount of pictures, nearly on every page in some sections.
Other great classics are Rudin's Real and Complex Analysis, Conway's Functions of One Complex Variable. For a thorough but relatively intuitive approach, I also heavily recommend Sarason's Complex Function Theory.
A: Conway, "Functions of One Complex Variable I" http://books.google.ca/books?id=9LtfZr1snG0C
A: The followings are very, very good. Note that you should start with the first one if you are a beginner.


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

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

A: The books below are excellent:


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*Invitation to Complex Analysis by Ralph P. Boas (second edition revised by Harold P. Boas).

*Complex Made Simple by David C. Ullrich.
A: A very classic book to learn complex analysis from is Ahlfors's book (which I used). There is also Stein and Shakarchi's book, and Bak and Newman's book.
A: Here's one that I love: Donald Sarason's book, Complex Function Theory. It's beautifully and economically written, so that it really flows. It was published by Henry Helson in his garage for a long time, but has been taken over by the American Math. Soc.
It covers complex analysis up to and including some advanced topics such as the Riemann mapping theorem, starting from basic real analysis. 
