这是一本介绍测度论和积分理论基础的研究生教材，这些理论是现代实分析的基础。在转向抽象的测度和积分理论之前，《测度论引论（英文版）》先将注意力集中在Lebesgue测度和Lebesgue积分的具体构架上（它们由更经典的Jordan测度和Riemann积分所启发），内容包括标准收敛定理、Fubini定理以及Caratheodory延拓定理。由于与概率论有关，《测度论引论（英文版）》还包含一些经典的微分定理，例如Lebesgue和Rademacher微分定理。《测度论引论（英文版）》覆盖了一年级研究生实分析课程一季度或一学期的内容。 《测度论引论（英文版）》强调将学科的抽象和具体方面结合起来，用后者去解释和启发前者。一些主要原理（如Littlewood的三原理）提供了对学科的宣觉能力，这种关键作用也在书中得以强调。全书通篇包含大量习题，它们发展了理论的重要...(展开全部)

这是一本介绍测度论和积分理论基础的研究生教材，这些理论是现代实分析的基础。在转向抽象的测度和积分理论之前，《测度论引论（英文版）》先将注意力集中在Lebesgue测度和Lebesgue积分的具体构架上（它们由更经典的Jordan测度和Riemann积分所启发），内容包括标准收敛定理、Fubini定理以及Caratheodory延拓定理。由于与概率论有关，《测度论引论（英文版）》还包含一些经典的微分定理，例如Lebesgue和Rademacher微分定理。《测度论引论（英文版）》覆盖了一年级研究生实分析课程一季度或一学期的内容。 《测度论引论（英文版）》强调将学科的抽象和具体方面结合起来，用后者去解释和启发前者。一些主要原理（如Littlewood的三原理）提供了对学科的宣觉能力，这种关键作用也在书中得以强调。全书通篇包含大量习题，它们发展了理论的重要...(展开全部)

《测度论(英文版)》讲述了：In presenting this treatment of homological algebra, it is a pleasureto acknowledge the help and encouragement which I have had fromall sides. Homological algebra arose from many sources in algebra andtopology. Decisive examples came from the study of group extensionsand their factor sets, a subject I learned in joint work with OTTO SCHIL-LING. A further developme...(展开全部)

测度论是研究一般集合上的测度和积分的理论，近年来在现代分析的应用中已显示出极大的潜力．作为测度论中的“圣经”，本书的主要目的是对测度论进行统一的介绍，内容有：集合与集类、测度与外测度、测度的扩张、可测函数、积分、一般集函数、乘积空间、变换与函数、概率、局部紧空间、哈尔测度、群的测度和拓扑． “这本书能帮助对测度论感兴趣的学生在希尔伯特空间理论领域进行积极、有创造性的探索。” ——数学评论 本书内容丰富，特别是其纯分析的处理方法引人入胜，一些测度论常用的技巧和经典的例子也在书中得到了充分的体现。除几何测度论外，本书对基本的测度论知识也介绍得很全面。习题是本书的一大特色，有易有难，想试下身手的读者不妨一试。 哈尔莫斯的这本书是测度论的名著，在出版之初就是广泛使用的测度论教科书，在今天仍然具有重要历史意义，值得一读。

My main purpose in this book is to present a unified treatment of that part of measure theory which in recent years has shown itself to be most useful for its applications in modern analysis. If I have accomplished my purpose, then the book should be found usable both as a text for students and as a source of reference for the more advanced mathematician. I have tried to keep t...(展开全部)

My main purpose in this book is to present a unified treatment of that part of measure theory which in recent years has shown itself to be most useful for its applications in modern analysis. If I have accomplished my purpose, then the book should be found usable both as a text for students and as a source of reference for the more advanced mathematician. I have tried to keep t...(展开全部)

《测度论(英文版)》讲述了：In presenting this treatment of homological algebra, it is a pleasureto acknowledge the help and encouragement which I have had fromall sides. Homological algebra arose from many sources in algebra andtopology. Decisive examples came from the study of group extensionsand their factor sets, a subject I learned in joint work with OTTO SCHIL-LING. A further developme...(展开全部)

测度论是研究一般集合上的测度和积分的理论，近年来在现代分析的应用中已显示出极大的潜力．作为测度论中的“圣经”，本书的主要目的是对测度论进行统一的介绍，内容有：集合与集类、测度与外测度、测度的扩张、可测函数、积分、一般集函数、乘积空间、变换与函数、概率、局部紧空间、哈尔测度、群的测度和拓扑． “这本书能帮助对测度论感兴趣的学生在希尔伯特空间理论领域进行积极、有创造性的探索。” ——数学评论 本书内容丰富，特别是其纯分析的处理方法引人入胜，一些测度论常用的技巧和经典的例子也在书中得到了充分的体现。除几何测度论外，本书对基本的测度论知识也介绍得很全面。习题是本书的一大特色，有易有难，想试下身手的读者不妨一试。 哈尔莫斯的这本书是测度论的名著，在出版之初就是广泛使用的测度论教科书，在今天仍然具有重要历史意义，值得一读。

My main purpose in this book is to present a unified treatment of that part of measure theory which in recent years has shown itself to be most useful for its applications in modern analysis. If I have accomplished my purpose, then the book should be found usable both as a text for students and as a source of reference for the more advanced mathematician. I have tried to keep t...(展开全部)

My main purpose in this book is to present a unified treatment of that part of measure theory which in recent years has shown itself to be most useful for its applications in modern analysis. If I have accomplished my purpose, then the book should be found usable both as a text for students and as a source of reference for the more advanced mathematician. I have tried to keep t...(展开全部)