MHB What Is the Top Recommended Book on Complex Analysis for Beginners on MHB?

AI Thread Summary
MHB members are seeking recommendations for a rigorous yet accessible introduction to complex analysis, ideally with hints for exercise solutions. Notable suggestions include "Introductory Complex Analysis" by Richard A. Silverman, "Complex Variables, Harmonic and Analytic Functions" by Francis J. Flannigan, and "Visual Complex Analysis" by Tristan Needham, though the latter may not fit the traditional textbook mold. Additionally, "Complex Analysis" by Gamelin is highlighted as a strong option, suitable for both graduate and undergraduate levels. Overall, the discussion emphasizes the need for clarity and rigor in complex analysis resources.
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What book do MHB members regard as the best for a rigorous but clear and (moderately) easily understood introduction to complex analysis?

(Note - would be good if the book had hints to solutions of exercise.)

Peter
 
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Peter said:
What book do MHB members regard as the best for a rigorous but clear and (moderately) easily understood introduction to complex analysis?

(Note - would be good if the book had hints to solutions of exercise.)

Peter

The three Complex analysis books on my shelf are:

Introductory complex analysis - Richard A. Silverman

Complex variables, harmonic and analytic functions - Francis J. Flannigan

Visual complex analysis - Tristan Needham (i'm not sure this is the type of book you are after, but it is quite a nice approach!)

Also, i (unfortunately) can't say that i have read these cover to cover in a rigorous fashion.. Especially not the book by Flannigan. But thought i would share anyway.
 
I liked Gamelin's Complex Analysis quite a bit. I had that in grad school, but you can easily do the first part for an undergraduate course.
 
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