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Complex Variables
The text covers enough material for an advanced undergraduate or first-year graduate course. Contents include calculus in the plane; harmonic functions in the plane; analytic functions and power series; singular points and Laurent series; and much more. Many fine illustrations illuminate the text, along with numerous problems and solutions. 1972 edition.
384 pages, Paperback
First published January 1, 1983
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February 12, 2023
I never took a class on complex analysis so this book taught me everything I know about the subject. It came in handy a few times during my undergrad research. In the past few months I read it cover to cover and it is one of the most supremely readable math textbooks I've come across. Conversational prose and excellent figures. Flanigan really wants to convince you that complex analysis is really the study of harmonic functions. As with every math book I read I don't remember (even close to) everything but at least I now have pointers (in the computer-science sense) in my mind to where I can find these theorems and their proofs.
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