Complex Analysis, An Introduction - Ahlfors - 3rd Edition - 1979

A standard source of information of functions of one complex variable, this text
has retained its wide popularity in this field by being consistently rigorous
without becoming needlessly concerned with advanced or overspecialized material.
Difficult points have been clarified, the book has been reviewed for accuracy,
and notations and terminology have been modernized. Chapter 2, Complex Functions,
features a brief section on the change of length and area under conformal mapping,
and much of Chapter 8, Global-Analytic Functions, has been rewritten in order to
introduce readers to the terminology of germs and sheaves while still emphasizing
that classical concepts are the backbone of the theory. Chapter 4, Complex
Integration, now includes a new and simpler proof of the general form of Cauchy's
theorem. There is a short section on the Riemann zeta function, showing the use of
residues in a more exciting situation than in the computation of definite integrals.

Complex Variables and Applications - Churchill - Brown - Verhey - 3rd Edition - 1976

"Complex Variables and Applications, 3E" will serve, just as the earlier editions
did, as a textbook for an introductory course in the theory and application of
functions of a complex variable. This new edition preserves the basic content and
style of the earlier editions. The text is designed to develop the theory that is
prominent in applications of the subject. You will find a special emphasis given to
the application of residues and conformal mappings. To accommodate the different
calculus backgrounds of students, footnotes are given with references to other texts
that contain proofs and discussions of the more delicate results in advanced calculus.
Improvements in the text include extended explanations of theorems, greater detail in
arguments, and the separation of topics into their own sections.

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