Integration and Modern Analysis

Integration and Modern Analysis pdf epub mobi txt 電子書 下載2025

出版者:Springer Verlag
作者:Benedetto, John J./ Czaja, Wojciech
出品人:
頁數:594
译者:
出版時間:2007-5
價格:$ 90.34
裝幀:HRD
isbn號碼:9780817643065
叢書系列:Birkhäuser Advanced Texts Basler Lehrbücher
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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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