Best book(s) for Complex Analysis (undergrad)
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Best book(s) for Complex Analysis (undergrad)
What are some of your book recommendations on Complex Analysis? I've been told that Jerold Marsden's "Basic Complex Analysis" is a must-read one, but after going through it, it seemed like a tough way to be introduced to these new concepts. What about "Complex Variables and Applications" by J.W. Brown and R.V. Churchill? I'm really starting to dig into it. Thanks!
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Re: Best book(s) for Complex Analysis (undergrad)
I would suggest that you read the following books on Complex Analysis:
- J. Marsden, M. Hoffman - Basic Complex Analysis : Although it is developed in a rather slow manner, the exposition is in my opinion very nice, and the book contains lots of examples as well as exercises that help one acquire a good understanding of the theory.
- E. Stein, R. Shakarchi - Complex Analysis : In contrast to the above book, this one introduces the reader to the basic concepts of complex analysis in a much quicker way and also contains some rather advanced topics (not necessarily treated in the previous book). The exposition is also very nice.
- L. Ahlfors - Complex Analysis : A classical one, but may be considered rather hard as an introductory text.
- W. Fischer, I. Lieb - A Course in Complex Analysis : This book is not only an introduction to the theory of (holomorphic) functions of one complex variable, but also to the theory of holomorphic functions of several variables.
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