TY  - BOOK
AU  - Boas,Ralph P.
AU  - Boas,Harold P.
TI  - Invitation to complex analysis
T2  - MAA textbooks
SN  - 9780883857649
U1  - 515.9 23
PY  - 2010///
CY  - [Washington, DC]
PB  - Mathematical Association of America
KW  - Functions of complex variables
N1  - 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
N2  - 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.
ER  -