Integration and modern analysis by John J. Benedetto, Wojciech Czaja

Integration and modern analysis



Download Integration and modern analysis




Integration and modern analysis John J. Benedetto, Wojciech Czaja
Language: English
Page: 593
Format: pdf
ISBN: 0817643060, 9780817643065
Publisher: Birkhauser

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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