R. M. Dudley, Dudley R. M.

Real Analysis and Probability

Herausgeber: Bollobas, Bela

• Gebundenes Buch

Produktbeschreibung

This classic text offers a clear exposition of modern probability theory.

Produktdetails

• Verlag: Cambridge University Press
• Revised
• Seitenzahl: 568
• Erscheinungstermin: 22. Dezember 2003
• Englisch
• Abmessung: 235mm x 157mm x 38mm
• Gewicht: 1062g
• ISBN-13: 9780521809726
• ISBN-10: 052180972X
• Artikelnr.: 21401317

Inhaltsangabe

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.