I have studied a bit of complex analysis in the past, but I realized that I couldn't really get into it because I didn't really see the motivation; I was spending a lot of time trying to understand proofs, and even though the theorems seemed pretty cool, I never really got to use them. Could you please recommend me some books with applications of Complex Analysis? I don't mean applications to science or engineering, I just mean applications of the theorems in first year Complex Analysis, aka a book with good, interesting problems, not necessarily a book with formal proofs of everything (though that's a bonus).
Thank you very much.
Best Answer
I certainly enjoyed my $185$ course at Berkeley, with Hung-Hsi Wu (who is excellent). We used Lang's Complex Analysis. Graduate Texts in Mathematics series (it was an upper division undergraduate course). It's been a long time, but it must have had some good exercises and exposition in it, or I wouldn't remember it so fondly.
Another well-known text is the one by Ahlfors. Marsden and I think somebody else, though I cant remember who, have one. I think Churchhill and Brown had a book entitled Functions of a Single Complex Variable or something like that. I think Gamelin and possibly Greene, a couple of UCLA professors, have one. I haven't really looked at it though. But I know they are both good.