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Textbook for Complex Anaysis

  1. Aug 1, 2008 #1
    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.
  2. jcsd
  3. Aug 23, 2008 #2
    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.
  4. Aug 23, 2008 #3
    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.
  5. Aug 23, 2008 #4
    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.
  6. Aug 24, 2008 #5


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    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.
  7. Sep 4, 2008 #6
    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
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