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An in-depth look at real analysis and its applications-now expanded and revised.

This new edition of the widely used analysis book continues to cover real analysis in greater detail and at a more advanced level than most books on the subject. Encompassing several subjects that underlie much of modern analysis, the book focuses on measure and integration theory, point set topology, and the basics of functional analysis. It illustrates the use of the general theories and introduces readers to other branches of analysis such as Fourier analysis, distribution theory, and probability theory.

This edition is bolstered in content as well as in scope-extending its usefulness to students outside of pure analysis as well as those interested in dynamical systems. The numerous exercises, extensive bibliography, and review chapter on sets and metric spaces make Real Analysis: Modern Techniques and Their Applications, Second Edition invaluable for students in graduate-level analysis courses. New features include:

* Revised material on the n-dimensional Lebesgue integral.

* An improved proof of Tychonoff's theorem.

* Expanded material on Fourier analysis.

* A newly written chapter devoted to distributions and differential equations.

* Updated material on Hausdorff dimension and fractal dimension.

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Real Analysis 2024 pdf epub mobi 電子書下載

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準大四狗。應該說Folland的實分析是大三一年最認真讀過的一本書瞭。這本書一共11章，讀過的大概是1-3 6-9 11。大三上學期的時候我選修瞭一門本碩貫通課程“高等實分析”，我們的教材用的是Stein的實分析Ch6和泛函分析Ch1-3, 8. 老師第一節課就給我們推薦瞭Folland這本參考書...

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想當初藉瞭這本140刀的書，真是小心翼翼咯後來還是去復印瞭。。。。導緻我實變是我感覺我大學生涯中學得最好的課。。。。

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出版者:Wiley

作者:Gerald B. Folland

出品人:

頁數:408

譯者:

出版時間:1999-4-7

價格:USD 179.00

裝幀:Hardcover