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Which book on complex analysis is good for self study?

I am an average student and have just a very basic knowledge of this subject. I want to cover up to Runge's Theorem.

I heard about few books- Gamelin's Complex Analysis; a text by Churchill and another Ahlfors' Complex analysis.

Thank you.

Martin Sleziak
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Sara Tancredi
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    I like Ahlfors' a lot. – Tunococ Sep 10 '13 at 00:37
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    @SaraTancredi: Maybe review these two postings: http://math.stackexchange.com/questions/30749/what-is-a-good-complex-analysis-textbook and http://math.stackexchange.com/questions/419439/introductory-books-on-complex-analysis?rq=1, Regards – Amzoti Sep 10 '13 at 00:41
  • Thank you Tunococ and Amzoti. – Sara Tancredi Sep 10 '13 at 01:23
  • OFF: good luck; I found math self-study incedibly hard, especially in English, which is a foreign language for me. – Zoltán Schmidt Sep 10 '13 at 19:52
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    @ZoltánSchmidt But I find self study more interesting. Actually, your English is not bad. Look, you are writing very well. The problems is that you are indulged in many other extra curricular activities :) – Sara Tancredi Sep 11 '13 at 02:23
  • @SaraTancredi indeed, selfstuding is definitely interesting. Also, even if I write well, understanding some special words and sentences is hard. – Zoltán Schmidt Sep 11 '13 at 13:34

3 Answers3

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Nice link ;)

  • Visual Complex Analysis (Tristan Needham)
  • Visual Complex Functions:An introduction with phase portraits (Elias Wegert)

Enjoy Them...

user642796
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Ricardo Manrubia
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Gamelin is quite good. After or together with it, I recommend you to read the following.

  • Reinhold Remmert. Theory of complex functions. Springer 1991.

Then there is the second volume:

  • Reinhold Remmert. Classical topics in complex function theory. Springer 2010.
timur
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Gilman, Kra and Rodriguez, wrote the excellent book "Complex Analysis in the Spirit of Lipman Bers". It has everything you need to study complex analysis and has great exercises.

rfauffar
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