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Integration and Modern Analysis 在线电子书 pdf 下载 txt下载 epub 下载 mobi 下载 2024

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Benedetto, John J./ Czaja, Wojciech 作者

Springer Verlag

译者

2007-5 出版日期

594 页数

$ 90.34 价格

HRD

Birkhäuser Advanced Texts Basler Lehrbücher 丛书系列

9780817643065 图书编码

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Integration and Modern Analysis 在线电子书 epub 下载 mobi 下载 pdf 下载 txt 下载 2024

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This textbook and treatise begins with classical real variables, develops the Lebesgue theory abstractly and for Euclidean space, and analyzes the structure of measures. The authors' vision of modern real analysis is seen in their fascinating historical commentary and perspectives with other fields. There are comprehensive treatments of the role of absolute continuity, the evolution of the Riesz representation theorem to Radon measures and distribution theory, weak convergence of measures and the Dieudonne-Grothendieck theorem, modern differentiation theory, fractals and self-similarity, rearrangements and maximal functions, and surface and Hausdorff measures. There are hundreds of illuminating exercises, and extensive, focused appendices on functional and Fourier analysis. The presentation is ideal for the classroom, self-study, or professional reference.

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