9781470452865-1470452863-Introduction to Complex Analysis (Graduate Studies in Mathematics)

Introduction to Complex Analysis (Graduate Studies in Mathematics)

ISBN-13: 9781470452865
ISBN-10: 1470452863
Author: Michael E. Taylor
Publication date: 2019
Publisher: American Mathematical Society
Format: Hardcover 480 pages
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Book details

ISBN-13: 9781470452865
ISBN-10: 1470452863
Author: Michael E. Taylor
Publication date: 2019
Publisher: American Mathematical Society
Format: Hardcover 480 pages

Summary

Acknowledged author Michael E. Taylor wrote Introduction to Complex Analysis (Graduate Studies in Mathematics) comprising 480 pages back in 2019. Textbook and eTextbook are published under ISBN 1470452863 and 9781470452865. Since then Introduction to Complex Analysis (Graduate Studies in Mathematics) textbook was available to sell back to BooksRun online for the top buyback price of $ 10.47 or rent at the marketplace.

Description

In this text, the reader will learn that all the basic functions that arise in calculus such as powers and fractional powers, exponentials and logs, trigonometric functions and their inverses, as well as many new functions that the reader will meet are naturally defined for complex arguments. Furthermore, this expanded setting leads to a much richer understanding of such functions than one could glean by merely considering them in the real domain. For example, understanding the exponential function in the complex domain via its differential equation provides a clean path to Euler's formula and hence to a self-contained treatment of the trigonometric functions. Complex analysis, developed in partnership with Fourier analysis, differential equations, and geometrical techniques, leads to the development of a cornucopia of functions of use in number theory, wave motion, conformal mapping, and other mathematical phenomena, which the reader can learn about from material presented here. This book could serve for either a one-semester course or a two-semester course in complex analysis for beginning graduate students or for well-prepared undergraduates whose background includes multivariable calculus, linear algebra, and advanced calculus.

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