Integration and Modern Analysis is popular PDF and ePub book, written by John J. Benedetto in 2010-01-08, it is a fantastic choice for those who relish reading online the Mathematics genre. Let's immerse ourselves in this engaging Mathematics book by exploring the summary and details provided below. Remember, Integration and Modern Analysis can be Read Online from any device for your convenience.
Integration and Modern Analysis Book PDF Summary
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.
Detail Book of Integration and Modern Analysis PDF
- Author : John J. Benedetto
- Release : 08 January 2010
- Publisher : Springer Science & Business Media
- ISBN : 9780817646561
- Genre : Mathematics
- Total Page : 589 pages
- Language : English
- PDF File Size : 8,6 Mb
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