Introduction to Complex Analysis 在线电子书 pdf 下载 txt下载 epub 下载 mobi 下载 2024

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Michael E. Taylor 作者

American Mathematical Society

译者

2019-11-18 出版日期

480 页数

USD 85.00 价格

Hardcover

Graduate Studies in Mathematics 丛书系列

9781470452865 图书编码

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Introduction to Complex Analysis 在线电子书 epub 下载 mobi 下载 pdf 下载 txt 下载 2024

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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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