INTERNATIONAL STANDARD BOOK NUMBER
Erroneous ISBN
052180972X (hardback)
NATIONAL BIBLIOGRAPHY NUMBER
Country Code
IR
Number
EN-53385
LANGUAGE OF THE ITEM
.Language of Text, Soundtrack etc
انگلیسی
COUNTRY OF PUBLICATION OR PRODUCTlON
Country of publication
IR
TITLE AND STATEMENT OF RESPONSIBILITY
Title Proper
Real analysis and probability
General Material Designation
[Book]
First Statement of Responsibility
/ R.M. Dudley
.PUBLICATION, DISTRIBUTION, ETC
Place of Publication, Distribution, etc.
Cambridge ; New York
Name of Publisher, Distributor, etc.
: Cambridge University Press,
Date of Publication, Distribution, etc.
, 2002.
PHYSICAL DESCRIPTION
Specific Material Designation and Extent of Item
x, 555 p. , 24 cm.
SERIES
Series Title
(Cambridge studies in advanced mathematics
Volume Designation
; 74)
NOTES PERTAINING TO PUBLICATION, DISTRIBUTION, ETC.
Text of Note
Electronic
INTERNAL BIBLIOGRAPHIES/INDEXES NOTE
Text of Note
Includes bibliographical references and index.
CONTENTS NOTE
Text of Note
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.
SERIES
Title
Cambridge studies in advanced mathematics
Volume Number
74
TOPICAL NAME USED AS SUBJECT
Mathematical analysis
Functions of real variables
Probabilities
LIBRARY OF CONGRESS CLASSIFICATION
Class number
E-BOOK
PERSONAL NAME - PRIMARY RESPONSIBILITY
Dudley, R. M. (Richard M.)
ORIGINATING SOURCE
Country
ایران
ELECTRONIC LOCATION AND ACCESS
Host name
0521007542.pdf
Access number
عادی
Compression information
عادی
Date and Hour of Consultation and Access
0521007542.pdf
Electronic Format Type
متن
old catalog
e
BL
1
a
Y
