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Probability and Measure Theory 2/e

作者：Robert Ash, Catherine Doleans-Dade
原價：NT$ 1,800

ISBN：9780120652020
版次：2
年份：2000
出版商：Elsevier B.V.
頁數/規格：516頁

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Description
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.

Key Features

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

Table of Contents
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.

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.

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