Introduction to Complex Analysis 在線電子書 pdf 下載 txt下載 epub 下載 mobi 下載 2024

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Michael E. Taylor 作者

American Mathematical Society

譯者

2019-11-18 出版日期

480 頁數

USD 85.00 價格

Hardcover

Graduate Studies in Mathematics 叢書系列

9781470452865 圖書編碼

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發表於2024-07-06

Introduction to Complex Analysis 在線電子書 epub 下載 mobi 下載 pdf 下載 txt 下載 2024

Introduction to Complex Analysis 在線電子書 epub 下載 pdf 下載 mobi 下載 txt 下載 2024

Introduction to Complex Analysis 在線電子書 pdf 下載 txt下載 epub 下載 mobi 下載 2024

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Introduction to Complex Analysis 在線電子書 pdf 下載 txt下載 epub 下載 mobi 在線電子書下載

Introduction to Complex Analysis 在線電子書圖書描述

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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