Recommended Textbooks for Complex Analysis?

[logarithmic]

Can anyone suggest a good textbook for complex analysis? My course is using the Churchill & Brown text as a reference book, but I've heard the book is lacking in rigor and proofs. Are there any other texts that are written clearly, but with a more rigorous treatment on the subject. Preferably, also not too expensive.

 

[iopmar06]

My course is using Shaw's Complex Analysis with Mathematica.

It's a pretty good even for a non-Mathematica based course.

Just avoid anything with "engineering" in the title.

 

[will.c]

My course used Churchill & Brown, and while it may have lacked a bit of rigor, the exposition was actually pretty wonderful. I think I learned a lot more from that book than my peers did from the more rigor-oriented books they got their hands on. My advice is to go to the bookstore and take a look through the table of contents and read a few pages out of it before you write it off.

 

[las3rjock]

If you're looking for an applications-oriented text (i.e. you want to use methods from complex analysis to solve problems), I prefer Saff & Snider to Churchill & Brown. If you're more interested in complex analysis as a branch of pure mathematics, two standard texts are Ahlfors's Complex Analysis and Conway's Functions of One Complex Variable.

 

[mathwonk]

almost all complex analysis books are good. my own favorites include: cartan, lang, hille, but not conway or ahlfors, the usual suspects. they are good, but to me they are less clear for a beginner.

 

[Legion81]

This one is on Google Books... I'm reading it right now and it seems better than my textbook:
Applied Complex Variables for Scientists and Engineers - By Yue Kuen Kwok