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Request a sales quote*Probability and Measure Theory, Second Edition,* is a text for a graduate-level course in probability that includes essential background topics in analysis. It provides extensive coverage of conditional probability and expectation, strong laws of large numbers, martingale theory, the central limit theorem, ergodic theory, and Brownian motion.### Robert B. Ash

### Catherine A. Doleans-Dade

- 2nd Edition - November 15, 1999
- Authors: Robert B. Ash, Catherine A. Doleans-Dade
- Language: English
- Paperback ISBN:9 7 8 - 0 - 1 2 - 3 9 1 0 9 5 - 0
- Hardback ISBN:9 7 8 - 0 - 1 2 - 0 6 5 2 0 2 - 0

Probability and Measure Theory, Second Edition, is a text for a graduate-level course in probability that includes essential background topics in analysis. It provides extens… Read more

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- Clear, readable style
- Solutions to many problems presented in text
- Solutions manual for instructors
- Material new to the second edition on ergodic theory, Brownian motion, and convergence theorems used in statistics
- No knowledge of general topology required, just basic analysis and metric spaces
- Efficient organization

Graduate students, faculty, and other professionals in mathematics, statistics, engineering, and economics; also, graduate students and professionals in physics and computer science

Summary of Notation

Fundamentals of Measure and Integration Theory.

Further Results in Measure and Integration Theory.

Introduction to Functional Analysis.

Basic Concepts of Probability.

Conditional Probability and Expectation.

Strong Laws of Large Numbers and Martingale Theory.

The Central Limit Theorem.

Ergodic Theory.

Brownian Motion and Stochastic Integrals.

Fundamentals of Measure and Integration Theory.

Further Results in Measure and Integration Theory.

Introduction to Functional Analysis.

Basic Concepts of Probability.

Conditional Probability and Expectation.

Strong Laws of Large Numbers and Martingale Theory.

The Central Limit Theorem.

Ergodic Theory.

Brownian Motion and Stochastic Integrals.

- No. of pages: 528
- Language: English
- Edition: 2
- Published: November 15, 1999
- Imprint: Academic Press
- Paperback ISBN: 9780123910950
- Hardback ISBN: 9780120652020

RA

Robert B. Ash as written about, taught, or studied virtually every area of mathematics. His books include *Information Theory*, *Topics in Stochastic Processes*, *The Calculus Tutoring Book*, *Introduction to Discrete Mathematics*, and *A Primer of Mathematics*.

Affiliations and expertise

University of Illinois, Urbana-Champaign, U.S.A.CD

Affiliations and expertise

University of Illinois, Urbana-Champaign, U.S.A.