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

Click For 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.
Math Amateur
Gold Member
MHB
Messages
3,920
Reaction score
48
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
 
Physics news on Phys.org
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.
 
Many years ago, as the internet was coming of age, I burned over 500 pounds of technical manuals. I realized I can look things up on the internet faster than I can find something in a technical manual. And just about anything I might need could be found online. But letting go of my several shelves worth of college text and other science books is another matter. I can't bring myself to get rid of them but there is very little if anything I can't find online now. Books are heavy and a pain...

Similar threads

Replies
6
Views
2K
Replies
5
Views
4K
Replies
2
Views
2K
Replies
3
Views
2K
Replies
5
Views
4K
Replies
5
Views
2K