Real Analysis and Probability. [electronic resource]

• 作者： Dudley, R. M.
• 其他作者：
  • Bollobas, B.
  • Fulton, W.
  • Katok, A.
  • Kirwan, F.
  • Sarnak, P.
  • Ebooks Corporation.
• 出版： Cambridge : Cambridge University Press
• 叢書名： Cambridge studies in advanced mathematics
• 主題： Mathematical analysis.; Probabilities. , Electronic books.
• ISBN： 9780511044885 (electronic bk.) 、 9780521809726 (print)
• FIND@SFXID: CGU
• 資料類型: 電子書
• 內容註: 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 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
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• 摘要註: 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.
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