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Real Analysis and Probability.

Dudley, R. M.

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Real Analysis and Probability.

Record Type:	Electronic resources : Monograph/item
Title/Author:	Real Analysis and Probability./
Author:	Dudley, R. M.
other author:	Bollobas, B.
Published:	Cambridge :Cambridge University Press, : 2002.,
Description:	567 p.
Series:	Cambridge studies in advanced mathematics
[NT 15003449]:	Cover; Half-title; Series-title; Title; Copyright; Contents; Preface to the Cambridge Edition; 1 Foundations; Set Theory; 2 General Topology; 3 Measures; 4 Integration; 5 L Spaces; Introduction to Functional Analysis; 6 Convex Sets and Duality of Normed Spaces; 7 Measure, Topology, and Differentiation; 8 Introduction to Probability Theory; 9 Convergence of Laws and Central Limit Theorems; 10 Conditional Expectations and Martingales; 11 Convergence of Laws on Separable Metric Spaces; 12 Stochastic Processes; 13 Measurability; A Axiomatic Set Theory
[NT 15003449]:	B Complex Numbers, Vector Spaces, and Taylor s Theorem with RemainderC The Problem of Measure; D Rearranging Sums of Nonnegative Terms; E Pathologies of Compact Nonmetric Spaces; Author Index; Subject Index; Notation Index
Subject:	Mathematical analysis.; Probabilities. -
Online resource:	http://dx.doi.org/10.1017/CBO9780511755347Click here to view book
ISBN:	9780511755347 (electronic bk.)

Real Analysis and Probability.
Dudley, R. M.

Real Analysis and Probability.[electronic resource]. - Cambridge :Cambridge University Press,2002. - 567 p. - Cambridge studies in advanced mathematics.

Cover; Half-title; Series-title; Title; Copyright; Contents; Preface to the Cambridge Edition; 1 Foundations; Set Theory; 2 General Topology; 3 Measures; 4 Integration; 5 L Spaces; Introduction to Functional Analysis; 6 Convex Sets and Duality of Normed Spaces; 7 Measure, Topology, and Differentiation; 8 Introduction to Probability Theory; 9 Convergence of Laws and Central Limit Theorems; 10 Conditional Expectations and Martingales; 11 Convergence of Laws on Separable Metric Spaces; 12 Stochastic Processes; 13 Measurability; A Axiomatic Set Theory

This classic graduate textbook offers a clear exposition of modern probability theory and of the interplay between the properties of metric spaces and probability measures. The comprehensive historical notes have been further amplified for this new edition, and a number of new exercises have been added, together with hints for solution.

Electronic reproduction.

Available via World Wide Web.

Mode of access: World Wide Web.

ISBN: 9780511755347 (electronic bk.)Subjects--Topical Terms:

1897913
Mathematical analysis.; Probabilities.
Index Terms--Genre/Form:

542853
Electronic books.

LC Class. No.: QA300 .D83 2002eb

Dewey Class. No.: 515

Real Analysis and Probability.
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100 1 $a Dudley, R. M. $3 1245266
245 1 0 $a Real Analysis and Probability. $h [electronic resource].
260 $a Cambridge : $b Cambridge University Press, $c 2002.
300 $a 567 p.
440 0 $a Cambridge studies in advanced mathematics
505 0 $a Cover; Half-title; Series-title; Title; Copyright; Contents; Preface to the Cambridge Edition; 1 Foundations; Set Theory; 2 General Topology; 3 Measures; 4 Integration; 5 L Spaces; Introduction to Functional Analysis; 6 Convex Sets and Duality of Normed Spaces; 7 Measure, Topology, and Differentiation; 8 Introduction to Probability Theory; 9 Convergence of Laws and Central Limit Theorems; 10 Conditional Expectations and Martingales; 11 Convergence of Laws on Separable Metric Spaces; 12 Stochastic Processes; 13 Measurability; A Axiomatic Set Theory
505 8 $a B Complex Numbers, Vector Spaces, and Taylor s Theorem with RemainderC The Problem of Measure; D Rearranging Sums of Nonnegative Terms; E Pathologies of Compact Nonmetric Spaces; Author Index; Subject Index; Notation Index
520 $a This classic graduate textbook offers a clear exposition of modern probability theory and of the interplay between the properties of metric spaces and probability measures. The comprehensive historical notes have been further amplified for this new edition, and a number of new exercises have been added, together with hints for solution.
533 $a Electronic reproduction. $n Available via World Wide Web.
538 $a Mode of access: World Wide Web.
650 4 $a Mathematical analysis.; Probabilities. $3 1897913
655 7 $a Electronic books. $2 lcsh $3 542853
700 1 $a Bollobas, B. $3 1897715
700 1 $a Fulton, W. $3 713901
700 1 $a Katok, A. $3 1897716
700 1 $a Kirwan, F. $3 1897717
700 1 $a Sarnak, P. $3 1897718
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856 4 0 $z Click here to view book $u http://dx.doi.org/10.1017/CBO9780511755347