Introductory complex analysis and applications

William R Derrick

ISBN 10: 0122099508 / ISBN 13: 9780122099502

Published by Academic Press, 1972

Pages can have notes/highlighting. Spine may show signs of wear. ~ ThriftBooks: Read More, Spend Less. Seller Inventory # G0122099508I3N00

Synopsis:

Introductory Complex and Analysis Applications provides an introduction to the functions of a complex variable, emphasizing applications. This book covers a variety of topics, including integral transforms, asymptotic expansions, harmonic functions, Fourier transformation, and infinite series.Organized into eight chapters, this book begins with an overview of the theory of functions of a complex variable. This text then examines the properties of analytical functions, which are all consequences of the differentiability of the function. Other chapters consider the converse of Taylor's Theorem, namely that convergent power series are analytical functions in their domain of convergence. This book discusses as well the Residue Theorem, which is of fundamental significance in complex analysis and is the core concept in the development of the techniques. The final chapter deals with the method of steepest descent, which is useful in determining the asymptotic behavior of integral representations of analytic functions.This book is a valuable resource for undergraduate students in engineering and mathematics.

Bibliographic Details

Title: Introductory complex analysis and ...
Publisher: Academic Press
Publication Date: 1972
Binding: Hardcover
Condition: Good
Dust Jacket Condition: No Jacket