Functions of a complex variable: Theory and technique

George F. Carrier9780898715958, 0898715954

Functions of a complex variable are used to solve applications in various branches of mathematics, science, and engineering. Functions of a Complex Variable: Theory and Technique is a book in a special category of influential classics because it is based on the authors’ extensive experience in modeling complicated situations and providing analytic solutions. The book makes available to readers a comprehensive range of these analytical techniques based upon complex variable theory. Proficiency in these techniques requires practice. The authors provide many exercises, incorporating them into the body of the text. By completing a substantial number of these exercises, the reader will more fully benefit from this book. Based on graduate courses in applied mathematics, Functions of a Complex Variable: Theory and Technique is intended for applied mathematicians, scientists, engineers, and senior or graduate-level students who have advanced knowledge in calculus and are interested in such subjects as complex variable theory, function theory, mathematical methods, advanced engineering mathematics, and mathematical physics.

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Table of contents :
Functions of a Complex Variable Theory and Technique……Page 1
contents……Page 8
preface……Page 12
1 complex numbers and their elementary properties……Page 16
2 analytic functions……Page 40
3 contour integration……Page 92
4 conformal mapping……Page 126
5 ipecial functions……Page 198
6 asymptotic methods……Page 256
7 transform methods……Page 316
8 special techniques……Page 391
index……Page 448