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portada Integration and Modern Analysis
Type
Physical Book
Publisher
Author
Year
2009
Language
English
Pages
456
Format
Hardcover
ISBN
0817643060
ISBN13
9780817643065
Edition No.
2009
Categories

Integration and Modern Analysis

John J. Benedetto; Wojciech Czaja (Author) · Birkhäuser · Hardcover

Integration and Modern Analysis - John J. Benedetto; Wojciech Czaja

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Synopsis "Integration and Modern Analysis "

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 Dieudonné–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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