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Invitation to complex analysis / Ralph Philip Boas ; revised by Harold P. Boas.

By: Contributor(s): Material type: TextTextSeries: MAA textbooksPublication details: [Washington, DC] : Mathematical Association of America, ©2010.Edition: 2nd edDescription: xiv, 327 p. : illustrations ; 26 cmISBN:
  • 9780883857649
Subject(s): DDC classification:
  • 515.9 23 B662
Contents:
1. From complex numbers to Cauchy's Theorem -- 2. Applications of Cauchy's Theorem -- 3. Analytic continuation -- 4. Harmonic functions and conformal mapping -- 5. Miscellaneous topics -- Solutions of exercises.
Summary: 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.
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Holdings
Item type Current library Call number Status Date due Barcode Item holds
Books ISI Library, Kolkata 515.9 B662 (Browse shelf(Opens below)) Available 138069
Total holds: 0

Includes bibliographical references and index.

1. From complex numbers to Cauchy's Theorem --
2. Applications of Cauchy's Theorem --
3. Analytic continuation --
4. Harmonic functions and conformal mapping --
5. Miscellaneous topics --
Solutions of exercises.

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.

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