Includes bibliographical references (p. 307-308) and index
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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"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