عنوان

Real analysis and probability

شابک اشتباه

052180972X (hardback)

کد کشور

IR

شماره

EN-53385

زبان متن نوشتاري يا گفتاري و مانند آن

انگلیسی

کشور محل نشر

IR

عنوان اصلي

Real analysis and probability

نام عام مواد

[Book]

نام نخستين پديدآور

/ R.M. Dudley

محل نشرو پخش و غیره

Cambridge ; New York

نام ناشر، پخش کننده و غيره

: Cambridge University Press,

تاریخ نشرو بخش و غیره

, 2002.

نام خاص و کميت اثر

x, 555 p. , 24 cm.

عنوان فروست

(Cambridge studies in advanced mathematics

مشخصه جلد

; 74)

متن يادداشت

Electronic

متن يادداشت

Includes bibliographical references and index.

متن يادداشت

Foundations; Set Theory -- Definitions for Set Theory and the Real Number System -- Relations and Orderings -- Transfinite Induction and Recursion -- Cardinality -- The Axion of Choice and Its Equivalents -- General Topology -- Topologies, Metrics, and Continuity -- Compactness and Product Topologies -- Complete and Compact Metric Spaces -- Some Metrics for Function Spaces -- Completion and Completeness of Metric Spaces -- Extension of Continuous Functions -- Uniformities and Uniform Spaces -- Compactification -- Measures -- Introduction to Measures -- Semirings and Rings -- Completion of Measures -- Lebesgue Measure and Nonmeasurable Sets -- Atomic and Nonatomic Measures -- Integration -- Simple Functions -- Measurability -- Convergence Theorems for Integrals -- Product Measures -- Daniell-Stone Integrals -- L[superscript p] Spaces; Introduction to Functional Analysis -- Inequalities for Integrals -- Norms and Completeness of L[superscript p] -- Hilbert Spaces -- Orthonormal Sets and Bases -- Linear Forms on Hilbert Spaces, Inclusions of L[superscript p] Spaces, and Relations Between Two Measures -- Signed Measures -- Convex Sets and Duality of Normed Spaces -- Lipschitz, Continuous, and Bounded Functionals -- Convex Sets and Their Separation -- Convex Functions -- Duality of L[superscript p] Spaces -- Uniform Boundedness and Closed Graphs -- The Brunn-Minkowski Inequality -- Measure, Topology, and Differentiation -- Baire and Borel [sigma]-Algebras and Regularity of Measures -- Lebesgue's Differentiation Theorems -- The Regularity Extension -- The Dual of C(K) and Fourier Series -- Almost Uniform Convergence and Lusin's Theorem -- Introduction to Probability Theory -- Infinite Products of Probability Spaces -- Laws of Large Numbers -- Ergodic Theorems -- Convergence of Laws and Central Limit Theorems -- Distribution Functions and Densities -- Convergence of Random Variables -- Convergence of Laws -- Characteristic Functions -- Uniqueness of Characteristic Functions and a Central Limit Theorem -- Triangular Arrays and Lindeberg's Theorem -- Sums of Independent Real Random Variables -- The Levy Continuity Theorem; Infinitely Divisible and Stable Laws -- Conditional Expectations and Martingales -- Conditional Expectations -- Regular Conditional Probabilities and Jensen's Inequality -- Martingales -- Optional Stopping and Uniform Integrability -- Convergence of Martingales and Submartingales -- Reversed Martingales and Submartingales -- Subadditive and Superadditive Ergodic Theorems -- Convergence of Laws on Separable Metric Spaces -- Laws and Their Convergence -- Lipschitz Functions -- Metrics for Convergence of Laws -- Convergence of Empirical Measures -- Tightness and Uniform Tightness -- Strassen's Theorem: Nearby Variables with Nearby Laws -- A Uniformity for Laws and Almost Surely Converging Realizations of Converging Laws -- Kantorovich-Rubinstein Theorems -- U-Statistics -- Stochastic Processes -- Existence of Processes and Brownian Motion -- The Strong Markov Property of Brownian Motion -- Reflection Principles, The Brownian Bridge, and Laws of Suprema -- Laws of Brownian Motion at Markov Times: Skorohod Imbedding -- Laws of the Iterated Logarithm -- Measurability: Borel Isomorphism and Analytic Sets -- Borel Isomorphism -- Analytic Sets -- Axiomatic Set Theory -- Mathematical Logic -- Axioms for Set Theory -- Ordinals and Cardinals -- From Sets to Numbers -- Complex Numbers, Vector Spaces, and Taylor's Theorem with Remainder -- The Problem of Measure -- Rearranging Sums of Nonnegative Terms -- Pathologies of Compact Nonmetric Spaces.

عنوان

Cambridge studies in advanced mathematics

شماره جلد

74

موضوع مستند نشده

Mathematical analysis

موضوع مستند نشده

Functions of real variables

موضوع مستند نشده

Probabilities

شماره رده

مستند نام اشخاص تاييد نشده

Dudley, R. M. (Richard M.)

کشور

ایران

نام ميزبان

0521007542.pdf

شماره دسترسي

عادی

اطلاعات مختصر

عادی

تاريخ و ساعت مذاکره و دسترسي

0521007542.pdf

نوع فرمت الکترونيکي

متن

وضعیت فهرست نویسی

old catalog

فرمت انتشار

e

نوع ماده

BL

پیشوند ISBD اعمال شده است

1

سطح دسترسي

a

تكميل شده

Y