Best complex analysis references? I own Gamelin's 'Complex Analysis', but I'm having a bit of a hard time understanding it.  I have also tried watching MIT Open Courseware videos on the subject, but I easily get lost.  Are there any references (preferably NOT textbooks as I am short on funds at the moment) that server as a smooth transition from calculus to complex analysis?  I have been lucky to have some help from a user on this website, but I would also like some other references so I don't constantly take up his time.
Thanks!
 A: 1) Ahlfors is the best
2) Conway's GTM11,159
3) GTM122,172
4).  also, I recommend Freitag's 'complex analysis'(Spring Universitext)
5). Henri Cartan, Elementary Theory of analytic functions of one or several complex variables
6).Elias M.Stein&Rami Shakarchi, Complex analysis
7).Raghavan Narasimhan&Yves Nievergelt, Complex analysis in complex variable, second edition
8). M. A. Lavrentieff & B. V. Shabat, Methods of  Functions of a complex variable, Sixth Edition
last but not least
9). Kunihiko Kodaira, Complex analysis
A: Here are some books that I would recommend (in decreasing order):


*

*Needham's Visual Complex Analysis : This is a really lovely book if you want to look at pictures and waft through the basics without getting too worried about the nitty-gritty.

*E.T. Copson's Introduction to the theory of functions of one complex variable : The book is somewhat dated, but I learnt quite a lot from it and I really liked the author's style.

*L.V. Ahlfors' Complex Analysis : This is the bible. Never leave home without it.

*D'Angelo's An Introduction to Complex Analysis and Geometry : These are some notes the author wrote for a course meant for "bright freshman students". It is available online here. I haven't used it myself, but it looks good to me.
A: You may also want to try:
Complex Analysis by Serge Lang
mainly because it has an accompanying problems and solutions manual:
Problems and Solutions for Complex Analysis by Rami Shakarchi
A: Since you indicated that you need a transition from calculus to complex analysis, it would probably be best to start with an application-oriented text (i.e. no graduate-level analysis).
You could try Fundamentals of Complex Analysis with Applications to Engineering, Science, and Mathematics.
