Download torrent Real Analysis and Probability
Download torrent Real Analysis and Probability
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Author: R. M. Dudley
Page Count: none
Published Date: 06 Jul 2010
Publisher: Cambridge University Press (Virtual Publishing)
Publication Country: Cambridge, United Kingdom
Language: Englishhttps://d39ttiideeq0ys.cloudfront.net/assets/images/book/large/9780/1206/9780120652013.jpg
ISBN: 9780511755347
Download Link: Real Analysis and Probability
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This classic textbook offers a clear exposition of modern probability theory and of the interplay between the properties of metric spaces and probability measures. The first half of the book gives an exposition of real analysis: basic set theory, general topology, measure theory, integration, an introduction to functional analysis in Banach and Hilbert spaces, convex sets and functions and measure on topological spaces. The second half introduces probability based on measure theory, including laws of large numbers, ergodic theorems, the central limit theorem, conditional expectations and martingale's convergence. A chapter on stochastic processes introduces Brownian motion and the Brownian bridge. The edition has been made even more self-contained than before; it now includes a foundation of the real number system and the Stone-Weierstrass theorem on uniform approximation in algebras of functions. Several other sections have been revised and improved, and the comprehensive historical notes have been further amplified. A number of new exercises have been added, together with hints for solution.
Read online Real Analysis and Probability Buy and read online Real Analysis and Probability Download Real Analysis and Probability ebook, pdf, djvu, epub, mobi, fb2, zip, rar, torrent Download to iPad/iPhone/iOS, B&N nook Real Analysis and Probability ebook, pdf, djvu, epub, mobi, fb2, zip, rar, torrent
Real Analysis and Probability by R. M. Dudley
Author: R. M. Dudley
Page Count: none
Published Date: 06 Jul 2010
Publisher: Cambridge University Press (Virtual Publishing)
Publication Country: Cambridge, United Kingdom
Language: Englishhttps://d39ttiideeq0ys.cloudfront.net/assets/images/book/large/9780/1206/9780120652013.jpg
ISBN: 9780511755347
Download Link: Real Analysis and Probability
---------------------------------------------------------------
This classic textbook offers a clear exposition of modern probability theory and of the interplay between the properties of metric spaces and probability measures. The first half of the book gives an exposition of real analysis: basic set theory, general topology, measure theory, integration, an introduction to functional analysis in Banach and Hilbert spaces, convex sets and functions and measure on topological spaces. The second half introduces probability based on measure theory, including laws of large numbers, ergodic theorems, the central limit theorem, conditional expectations and martingale's convergence. A chapter on stochastic processes introduces Brownian motion and the Brownian bridge. The edition has been made even more self-contained than before; it now includes a foundation of the real number system and the Stone-Weierstrass theorem on uniform approximation in algebras of functions. Several other sections have been revised and improved, and the comprehensive historical notes have been further amplified. A number of new exercises have been added, together with hints for solution.
Read online Real Analysis and Probability Buy and read online Real Analysis and Probability Download Real Analysis and Probability ebook, pdf, djvu, epub, mobi, fb2, zip, rar, torrent Download to iPad/iPhone/iOS, B&N nook Real Analysis and Probability ebook, pdf, djvu, epub, mobi, fb2, zip, rar, torrent