Hundreds of solved examples, exercises, and applications help students gain a firm understanding of the most important topics in the theory and applications of complex variables. Topics include the complex plane, basic properties of analytic functions, analytic functions as mappings, analytic and harmonic functions in applications, and transform methods. 1990 edition. Appendices.
Here's a sample of other books in this Dover category
Elementary Theory of Analytic Functions of One or Several Complex Variables by Henri Cartan Basic treatment includes existence theorem for solutions of differential systems where data is analytic, holomorphic functions, Cauchy's integral, Taylor and Laurent expansions, more. Exercises. 1973 edition.
Complex Variables: Second Edition by Robert B. Ash, W. P. Novinger Suitable for advanced undergraduates and graduate students, this newly revised treatment covers Cauchy theorem and its applications, analytic functions, and the prime number theorem. Numerous problems and solutions. 2004 edition.
Function Theory on Planar Domains: A Second Course in Complex Analysis by Stephen D. Fisher This treatment of complex analysis focuses on function theory on a finitely connected planar domain. It emphasizes domains bounded by a finite number of disjoint analytic simple closed curves. 1983 edition.
Methods of the Theory of Functions of Many Complex Variables by Vasiliy Sergeyevich Vladimirov This systematic exposition outlines fundamentals of the theory of single sheeted holomorphic domains and illustrates applications to quantum field theory, the theory of functions, and differential equations with constant coefficients. 1966 edition.
