Probability and Measure Theory, 2/e (Hardcover)
暫譯: 機率與測度理論，第2版 (精裝本)

Ash, Robert B., Doleans-Dade, Catherine a.

Probability and Measure Theory, 2/e (Hardcover)
  • 出版商: Academic Press
  • 出版日期: 1999-12-01
  • 售價: $4,670
  • 貴賓價: 9.5 折 $4,437
  • 語言: 英文
  • 頁數: 516
  • 裝訂: Hardcover - also called cloth, retail trade, or trade
  • ISBN: 0120652021
  • ISBN-13: 9780120652020

    • 海外代購書籍(需單獨結帳)

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商品描述

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.

 

  • 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

商品描述(中文翻譯)

《機率與測度理論（第二版）》是一本針對研究生級別的機率課程的教材，涵蓋了分析中的基本背景主題。它廣泛地討論了條件機率與期望、大數法則、馬爾可夫過程理論、中心極限定理、遍歷理論以及布朗運動。

- 清晰易讀的風格
- 許多文本中問題的解答
- 教師用的解答手冊
- 第二版中新增的遍歷理論、布朗運動及統計中使用的收斂定理的材料
- 不需要一般拓撲的知識，只需基本的分析和度量空間
- 高效的組織結構

作者簡介

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.

作者簡介(中文翻譯)

羅伯特·B·阿什（Robert B. Ash）幾乎在數學的每個領域都有著作、教學或研究。他的書籍包括《資訊理論》（Information Theory）、《隨機過程主題》（Topics in Stochastic Processes）、《微積分輔導書》（The Calculus Tutoring Book）、《離散數學導論》（Introduction to Discrete Mathematics）以及《數學入門》（A Primer of Mathematics）。

目錄大綱

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.

目錄大綱(中文翻譯)

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.

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