Can I read Integration and Modern Analysis (Birkhäuser Advanced Texts Basler Lehrbücher) on EtoBox?

Integration and Modern Analysis (Birkhäuser Advanced Texts Basler Lehrbücher) by John J. Benedetto, Wojciech Czaja (auth.) is a nonfiction available to read on EtoBox.

What is Integration and Modern Analysis (Birkhäuser Advanced Texts Basler Lehrbücher) about?

A paean to twentieth century analysis, this modern text has several important themes and key features which set it apart from others on the subject. A major thread throughout is the unifying influence of the concept of absolute continuity on differentiation and integration. This leads to fundamental results such as the Dieudonné–Grothendieck theorem and other intricate developments dealing with weak convergence of measures. **Key Features:** \* Fascinating historical commentary interwoven into the exposition; \* Hundreds of problems from routine to challenging; \* Broad mathematical perspectives and material, e.g., in harmonic analysis and probability theory, for independent study projects; \* Two significant appendices on functional analysis and Fourier analysis. **Key Topics:** \* In-depth development of measure theory and Lebesgue integration; \* Comprehensive treatment of connection between differentiation and integration, as well as complete proofs of state-of-the-art results; \* Classical real variables and introduction to the role of Cantor sets, later placed in the modern setting of self-similarity and fractals; \* Evolution of the Riesz representation theorem to Radon meas

Who reads Integration and Modern Analysis (Birkhäuser Advanced Texts Basler Lehrbücher)?

Author

John J. Benedetto, Wojciech Czaja (auth.)

Publisher

Birkhäuser Boston

Published

2009

Language

EN

ISBN

9781280384172

Category

nonfiction

Subjects

Mathematics, Stem