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25 Remote Warehouse Mathematics- Probability and Statistics

Cambridge Studies in Advanced Mathematics #74: Real Analysis and Probability

by

Cambridge Studies in Advanced Mathematics #74: Real Analysis and Probability Cover

 

Synopses & Reviews

Publisher Comments:

This classic textbook, now reissued, offers a clear exposition of modern probability theory and of the interplay between the properties of metric spaces and probability measures. The new edition has been made even more self-contained than before; it now includes a foundation of the real number system and the Stone-Weierstrass theorem on uniform approximation in algebras of functions. Several other sections have been revised and improved, and the comprehensive historical notes have been further amplified. A number of new exercises have been added, together with hints for solution.

Book News Annotation:

This is a reissue of textbook covering graduate level courses in probability theory and real analysis, each conceived as a one-semester course. Dudley (Massachusetts Institute of Technology), in an effort to make the text self-contained, has added a treatment of the Stone- Weierstrass theorem.
Annotation c. Book News, Inc., Portland, OR (booknews.com)

Synopsis:

This classic text, now reissued in paperback, offers a clear exposition of modern probability theory.

Synopsis:

Includes bibliographical references and indexes.

Table of Contents

1. Foundations: set theory; 2. General topology; 3. Measures; 4. Integration; 5. Lp 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: Borel isomorphism and analytic sets; Appendixes: A. Axiomatic set theory; B. Complex numbers, vector spaces, and Taylor's theorem with remainder; C. The problem of measure; D. Rearranging sums of nonnegative terms; E. Pathologies of compact nonmetric spaces; Indices.

Product Details

ISBN:
9780521007542
Editor:
Bollobas, B.
Editor:
Fulton, W.
Editor:
Bollobas, Bela
Editor:
Bollobas, B.
Editor:
Fulton, W.
Author:
B
Author:
Dudley, R. M.
Author:
Fulton, W.
Author:
Sarnak, P.
Author:
Kirwan, F.
Author:
Katok, A.
Author:
Bollobas
Author:
Bollobas, B.
Publisher:
Cambridge University Press
Location:
New York
Subject:
General
Subject:
Calculus
Subject:
Mathematical Analysis
Subject:
Probability
Subject:
Probabilities
Subject:
Geometry - General
Subject:
Functions of real variables
Subject:
Probability & Statistics - General
Subject:
Mathematics | Probability and Statistics
Subject:
Statistics
Edition Number:
2
Edition Description:
Trade paper
Series:
Cambridge Studies in Advanced Mathematics (Hardcover)
Series Volume:
13374
Publication Date:
20021031
Binding:
TRADE PAPER
Grade Level:
Professional and scholarly
Language:
English
Illustrations:
400 exercises
Pages:
566
Dimensions:
9.68x6.16x1.10 in. 1.69 lbs.

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Related Subjects

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Science and Mathematics » Mathematics » Probability and Statistics » Statistics

Cambridge Studies in Advanced Mathematics #74: Real Analysis and Probability New Trade Paper
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$77.50 In Stock
Product details 566 pages Cambridge University Press - English 9780521007542 Reviews:
"Synopsis" by , This classic text, now reissued in paperback, offers a clear exposition of modern probability theory.
"Synopsis" by , Includes bibliographical references and indexes.
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