I am currently preparing qualifying exam for pure mathematics, and I am looking for books of complex analysis. I found the Real Analysis written by G.B.Folland is really helpful, concise and instructive when I learning real analysis. So I really want to find a textbook of complex analysis written like the style of Folland.
I have read some of the books by Alhfors or Stein or Lang or Conway, but none of these fits me very well. For example, the Cauchy Integration theorem in the books of Stein is written into many versions, from weakto strong, which is really terrible for me to have a systemic review. Rudin is old-fashioned and I don't like his style.
Any recommendition is appreciated!
Best Answer
No doubt in strongly suggesting you this lecture notes as an introductory course.
If you want to go further, read these other notes.
I find both of them absolutely clear.