COMPLEX VARIABLES AND APPLICATIONS

This book is a revision of the third edition, published in 1974. That edition has served, just as the first two editions did, as a textbook for a one-term introductory course in the theory and application of functions of a complex variable. This revision preserves the basic content and style of the earlier editions, the first two of which were written by the late Ruel V. Churchill alone.

In this edition the authors have improved the exposition by making the examples more prominent in the text and by redrawing and adding a number of figures. The material on integrals and residues and their applications is now reached earlier, and the chapter on mapping by elementary functions leads more directly into the chapters on conformal mapping and its applications. To mention a few other improvements, the sections on finding roots of complex numbers and calculating residues of functions at isolated singular points have been completely rewritten with special attention paid to the understanding of concepts and less reliance on formulas.