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Real Analysis and Probability.
~
Dudley, R. M.
Real Analysis and Probability.
紀錄類型:
書目-語言資料,印刷品 : Monograph/item
正題名/作者:
Real Analysis and Probability./
作者:
Dudley, R. M.
其他作者:
Sarnak, P.
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:
9780511044885 (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: 9780511044885 (electronic bk.)Subjects--Topical Terms:
685668
Mathematical analysis.; Probabilities.
Index Terms--Genre/Form:
554714
Electronic books.
LC Class. No.: QA300 .D83 2002eb
Dewey Class. No.: 515
Real Analysis and Probability.
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Cambridge studies in advanced mathematics
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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
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