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I am looking for self study books or general interest (above the layman level) books on complex analysis.

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I don't know if you would consider that an introductory book, I am self-studying Rudin's real complex analysis and I am liking it a lot amazon.com/Complex-Analysis-International-Applied-Mathematics/… –  Amr Nov 6 '13 at 22:48
    
My professor was unhappy with anything but Basic Complex Analysis by Marsden and Hoffman so it was the course literature. It made the course much harder since the book seems to be out of print. –  Sid Nov 7 '13 at 22:06

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up vote 4 down vote accepted

A few of my favourites:

I am also a great fan of some of the older treatments by Ahlfors, Nevanlinna and Paatero, as well as Rudin, but could not honestly recommend any of these for an introductory course.

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I really loved Ahlfors' Complex Analysis (which is probably the most famous, and most absurdly expensive book on the subject). This is complex analysis from an analytic point of view. If you are interested in complex analysis from the point of view of geometry Freitag and Busam Complex Analysis is an interesting well written option you can consider.(http://books.google.com/books/about/Complex_Analysis.html?id=M-fI9tPrBRIC)

Moreover another book I particularly liked is Function of One Complex variable by Conway (http://books.google.com/books/about/Functions_of_One_Complex_Variable_I.html?id=9LtfZr1snG0C). It covers a lot of subjects, from basic complex analysis to interesting topics such as normal families...

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