[Math] Reference book for complex analysis.

complex-analysisreference-request

I have a complex analysis test in 15 days. I have never studied the subject before. The only analysis I know is the first 7 chapters of baby Rudin. I plan to learn some multi-variable analysis and then start complex analysis. I have Rudin's Real and Complex Analysis and Complex Analysis by Lars Ahlfors, but they seem like books that would take a lot of time to study. I'm looking for a book with really simple proofs, yet ones which cover a decent bit of ground. The easiest book I have read so for is Real Analysis by Robert Bartle. Can someone suggest a book for complex analysis which is as easy as Bartle? Thanks.

Best Answer

When I took the course a few years ago, the notes of Ash and Novinger were recommended to me as they are designed to be gone over in a compressed time period. So they might be a good thing to look at. They are available online at:

http://www.math.uiuc.edu/~r-ash/CV.html

Then use Rudin and Ahlfors for additional exercises. There are many solution manuals to Rudin available online, and many of the problems are discussed on Stack Exchange if you look for them.

Best,

--Kris

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