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Real Analysis and Probability.

Bollobas, B.

Real Analysis and Probability.

紀錄類型:	書目-電子資源 : Monograph/item
正題名/作者:	Real Analysis and Probability.
作者:	Dudley, R. M.
其他作者:	Bollobas, B.
出版者:	Cambridge :Cambridge University Press,2002.
面頁冊數:	567 p.
叢書名:	Cambridge studies in advanced mathematics
標題:	Mathematical analysis.; Probabilities.
電子資源:	Click 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:

323626
Mathematical analysis.; Probabilities.
Index Terms--Genre/Form:

214472
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 323625
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 323626
655 7 $a Electronic books. $2 local. $3 214472
700 1 $a Bollobas, B. $3 322184
700 1 $a Fulton, W. $3 322185
700 1 $a Katok, A. $3 322186
700 1 $a Kirwan, F. $3 322187
700 1 $a Sarnak, P. $3 322188
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