| 查看: 507 | 回复: 5 | |||
| 【奖励】 本帖被评价2次，作者yuanap增加金币 1 个 | |||
| 当前主题已经存档。 | |||
[资源]
【转帖】Fourier Analysis: An Introduction (Princeton【已搜无重复】
|
|||
|
Fourier Analysis: An Introduction (Princeton Lectures in Analysis, Volume 1) By Elias M. Stein, Rami Shakarchi Publisher: Princeton University Press Number Of Pages: 320 Publication Date: 2003-03-17 ISBN-10 / ASIN: 069111384X ISBN-13 / EAN: 9780691113845 Binding: Hardcover 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 Analysis is 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. 下载（djvu） http://rapidshare.com/files/125321950/Stein.rar.html |
回复此楼» 猜你喜欢
期刊推荐
已经有5人回复
-
有没有接收比较快的sci期刊呀，最好在一个月之内的，研三孩子求毕业
已经有7人回复
-
又一批高校组建人工智能学院 师资行吗 不是骗人吗
已经有4人回复
-
297，工科调剂?河南农业大学本科
已经有15人回复
-
337求调剂
已经有3人回复
-
申博/考博
已经有5人回复
-
申博
已经有3人回复
-
湖南大学刘巧玲课题组2026年第二批次博士研究生招生信息
已经有5人回复
-
求计算机方向调剂
已经有6人回复
-
通信工程求调剂！！！
已经有7人回复
2楼2008-12-12 20:56:19
