Fourier Analysis: An Introduction-so88
Fourier Analysis: An Introduction pdf epub mobi txt 电子书 下载 2022
图书介绍
☆☆☆☆☆
||
Elias M Stein & Rami S... 著
店铺: 澜瑞外文Lanree图书专营店 出版社: Princeton University P... ISBN:9780691113845 商品编码:1107219788 包装:精装 外文名称:Fourier Analysis- An I... 出版时间:2003-03-17 页数:328 正文语种:英语
图书基本信息
Fourier Analysis: An Introduction
作者: Elias M. Stein;Rami Shakarchi;
ISBN13: 9780691113845
类型: 精装(精装书)
语种: 英语(English)
出版日期: 2003-03-17
出版社: Princeton University Press
页数: 328
重量(克): 612
尺寸: 24.4856 x 16.1036 x 2.54 cm
商品简介
This first volume, a three-part introduction to the subject, is intended for students with a beginning knowledge of mathematical analysis who are motivated to discover the ideas that shape Fourier analysis. It begins with the simple conviction that Fourier arrived at in the early nineteenth century when studying problems in the physical sciences--that an arbitrary function can be written as an infinite sum of the most basic trigonometric functions.
The first part implements this idea in terms of notions of convergence and summability of Fourier series, while highlighting applications such as the isoperimetric inequality and equidistribution. The second part deals with the Fourier transform and its applications to classical partial differential equations and the Radon transform; a clear introduction to the subject serves to avoid technical difficulties. The book closes with Fourier theory for finite abelian groups, which is applied to prime numbers in arithmetic progression.
In organizing their exposition, the authors have carefully balanced an emphasis on key conceptual insights against the need to provide the technical underpinnings of rigorous analysis. Students of mathematics, physics, engineering and other sciences will find the theory and applications covered in this volume to be of real interest.
The Princeton Lectures in Analysis represents a sustained effort to introduce the core areas of mathematical analysis while also illustrating the organic unity between them. Numerous examples and applications throughout its four planned volumes, of which Fourier Analysisis the first, highlight the far-reaching consequences of certain ideas in analysis to other fields of mathematics and a variety of sciences. Stein and Shakarchi move from an introduction addressing Fourier series and integrals to in-depth considerations of complex analysis; measure and integration theory, and Hilbert spaces; and, finally, further topics such as functional analysis, distributions and elements of probability theory.
Fourier Analysis: An Introduction 电子书 下载 mobi epub pdf txt
电子书下载地址:
相关电子书推荐:
- 文件名
- 人类生活2 Libby Romero
- 马克思靠谱(第2版)
- 上帝的错觉 海南出版社
- 解锁婚姻密码:包容、理解与爱 张珍珍
- 一笔创意画-新编儿童学画-儿童智能绘画-少儿美术培训机构.配套课本1-7
- 现货 正版 新书情感勒索
- 树:全世界300种树的彩色图鉴(超值全彩白金版)
- 西方育儿宝典
- BF-科学发现纵横谈-王梓坤 湖北科学技术出版社 9787535256171
- 中国古代实战兵器图鉴
- 受欢迎的小秘密(6-12岁首选校园文学励志读本)/小学生校园励志系列
- 霍尔姆战役1942: 105天的东线血火地狱(套装上下册)
- 计时:时间的历史和科学
- 好好修养爱
- 满58包邮 猫 9787537594196 日本日贩IPS著 河北科技出版社