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Real Analysis and Probability

Book Real Analysis and Probability R. M. Dudley
Libristo code: 02044408
Publishers Cambridge University Press, October 2002
This classic textbook offers a clear exposition of modern probability theory and of the interplay be... Full description
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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.

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About the book

Full name Real Analysis and Probability
Author R. M. Dudley
Language English
Binding Book - Hardback
Date of issue 2002
Number of pages 568
EAN 9780521809726
ISBN 052180972X
Libristo code 02044408
Weight 972
Dimensions 237 x 159 x 46
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