Includes bibliographical references (p. 307-308) and index
CONTENTS NOTE
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From complex numbers to Cauchy's Theorem -- Applications of Cauchy's Theorem -- Analytic continuation -- Harmonic functions and conformal mapping -- Miscellaneous topics -- Solutions of exercises
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SUMMARY OR ABSTRACT
Text of Note
"This book, whose first edition was written by Ralph P. Boas and published by Random House in 1987, reveals both the power of complex analysis as a tool for applications and the intrinsic beauty of the subject as a fundamental part of pure mathematics. This revised edition by the author's son, Harold P. Boas, himself an award-winning mathematical expositor, is an ideal choice for a first course in complex analysis, as a classroom text, and for independent study. Distilling the subject into a lucid, engaging, rigorous account of the subject, the authors go beyond the standard material of power series, Cauchy's theorem, residues, conformal mapping, and harmonic functions. Included are accessible discussions of less well-known but intriguing topics ranging from Landau's notation and overconvergent series to the Phragmen-Lindelof theorems. Nearly 70 exercises, with detailed solutions, serve as models for students, and supplementary exercises provide even more material for the classroom."--Publisher's description