Geared toward advanced undergraduates and graduate students, this substantially revised and updated edition of a popular text offers a concise treatment that provides careful and complete explanations as well as numerous problems and solutions. Topics include elementary theory, general Cauchy theorem and applications, analytic functions, and prime number theorem. 2004 edition. Revised reprint of the Academic Press, New York, 1971 edition.
Here's a sample of other books in this Dover category
Complex Variables: Second Edition by Stephen D. Fisher Topics include the complex plane, basic properties of analytic functions, analytic functions as mappings, analytic and harmonic functions in applications, transform methods. Hundreds of solved examples, exercises, applications. 1990 edition. Appendices.
Real Variables with Basic Metric Space Topology by Robert B. Ash Designed for a first course in real variables, this text encourages intuitive thinking and features detailed solutions to problems. Topics include complex variables, measure theory, differential equations, functional analysis, probability. 1993 edition.