概率与测度论:(英文影印版.第2版)(赠品)
基本信息
- 作者: (美)Robert B. Ash Catherine A. Doleans-Dade [作译者介绍]
- 丛书名: 图灵原版数学.统计学系列
- 出版社:人民邮电出版社
- ISBN:9787115166159
- 上架时间:2009-10-27
- 出版日期:2007 年10月
- 开本:16开
- 页码:516
- 版次:2-1
- 所属分类:
赠品
内容简介回到顶部↑
本书是测度论和概率论领域的名著,行文流畅,主线清晰,材料取舍适当,内容包括测度和积分论、泛函分析、条件概率和期望、强大数定理和鞅论、中心极限定理、遍历定理以及布朗运动和随机积分等,全书各节都附有习题,而且在书后提供了大部分习题的详细解答。
本书可作为相关专业高年级本科生或研究生的双语教材,适合作为一学年的教学内容,也可选用其中部分章节用作一学期的教学内容或参考书。
本书可作为相关专业高年级本科生或研究生的双语教材,适合作为一学年的教学内容,也可选用其中部分章节用作一学期的教学内容或参考书。
作译者回到顶部↑
本书提供作译者介绍
Robert B.Ash,伊利诺大学数学系教授。世界著名数学家,研究领域包括:信息理论、代数、拓扑、概率论、泛函分析等。主要著作有Measure,Integration and Functional Analysis和Information Theory等。
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目录回到顶部↑
1 fundamentals of measure and integration theory
1.1 introduction
1.2 fields, o-fields, and measures
1.3 extension of measures
1.4 lebesgue-stieltjes measures and distribution functi
1.5 measurable functions and integration
1.6 basic integration theorems
1.7 comparison of lebesgue and riemann integrals
2 further results in measure and integration theory
2.1 introduction
2.2 radon-nikodym theorem and related results
2.3 applications to real analysis
2.4 lp spaces
2.5 convergence of sequences of measurable functions
2.6 product measures and fubini's theorem
2.7 measures on infinite product spaces
2.8 weak convergence of measures
2.9 references
3 introduction to functional analysis
3.1 introduction
1.1 introduction
1.2 fields, o-fields, and measures
1.3 extension of measures
1.4 lebesgue-stieltjes measures and distribution functi
1.5 measurable functions and integration
1.6 basic integration theorems
1.7 comparison of lebesgue and riemann integrals
2 further results in measure and integration theory
2.1 introduction
2.2 radon-nikodym theorem and related results
2.3 applications to real analysis
2.4 lp spaces
2.5 convergence of sequences of measurable functions
2.6 product measures and fubini's theorem
2.7 measures on infinite product spaces
2.8 weak convergence of measures
2.9 references
3 introduction to functional analysis
3.1 introduction








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