Complex Function Theory is a concise and rigorous introduction to
the theory of functions of a complex variable. Written in a
classical style, it is in the spirit of the books by Ahlfors and by
Saks and Zygmund. Being designed for a one-semester course, it is
much shorter than many of the standard texts. Sarason covers the
basic material through Cauchy's theorem and applications, plus the
Riemann mapping theorem. It is suitable for either an introductory
graduate course or an undergraduate course for students with
adequate preparation. The first edition was published with the
title Notes on Complex Function Theory.
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