Suitable for upper-level undergraduates and graduate students, this treatment of complex analysis focuses on function theory on a finitely connected planar domain. Clear and complete, it emphasizes domains bounded by a finite number of disjoint analytic simple closed curves. The author is Professor of Mathematics at Northwestern University. 1983 edition. Reprint of the John Wiley & Sons, New York, 1983 edition.
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.
Introductory Complex Analysis by Richard A. Silverman Excellent text for 1-year graduate and undergraduate course. Covers limits and continuity, differentiation of analytic functions, conformal mapping, more. Over 300 problems.
Elementary Real and Complex Analysis by Georgi E. Shilov Excellent undergraduate-level text offers coverage of real numbers, sets, metric spaces, limits, continuous functions, much more. Each chapter contains a problem set with hints and answers. 1973 edition.
