Intended for undergraduates or graduate students in science, mathematics, and engineering, this text offers an introduction to the most important topics in the theory and applications of complex variables. Hundreds of solved examples, exercises, and applications help students gain a firm understanding of complex variables and an appreciation of their mathematical elegance. Topics include the complex plane, basic properties of analytic functions, analytic functions as mappings, analytic and harmonic functions in applications, and transform methods. Useful appendixes include tables of conformal mappings and Laplace transforms, as well as solutions to some of the exercises. The many advantages of this well-organized text and its clear, concise proofs include minimal pre-requisites, consisting only of a three-semester course in calculus. Copyright (C) Muze Inc. 2005. For personal use only. All rights reserved.