Table of contents for Real analysis and probability / Richard M. Dudley.


Bibliographic record and links to related information available from the Library of Congress catalog


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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.


Library of Congress subject headings for this publication: Mathematical analysis, Functions of real variables, Probabilities