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 to a minimum the amount of new and unusual terminology and notation. In the few places where my nomenclature differs from that in the existing literature of measure theory, I was motivated by an attempt to harmonize with the usage of other parts of mathematics. There are, for instance, sound algebraic reasons for using the terms "lattice" and "ring" for certain classes of sets--reasons which are more cogent than the similarities that caused Hausdorff to use "ring" and "field."
具体描述
读后感
The proofs in this book are mostly very elegant, even though some of them involved with technical ambiguity. I think some of the results are unnecessarily tiresome and complicated - why mention concepts like inner measure and semirings anyway? Still it's a ...
评分The proofs in this book are mostly very elegant, even though some of them involved with technical ambiguity. I think some of the results are unnecessarily tiresome and complicated - why mention concepts like inner measure and semirings anyway? Still it's a ...
评分The proofs in this book are mostly very elegant, even though some of them involved with technical ambiguity. I think some of the results are unnecessarily tiresome and complicated - why mention concepts like inner measure and semirings anyway? Still it's a ...
评分The proofs in this book are mostly very elegant, even though some of them involved with technical ambiguity. I think some of the results are unnecessarily tiresome and complicated - why mention concepts like inner measure and semirings anyway? Still it's a ...
评分The proofs in this book are mostly very elegant, even though some of them involved with technical ambiguity. I think some of the results are unnecessarily tiresome and complicated - why mention concepts like inner measure and semirings anyway? Still it's a ...
用户评价
绝对开拓视野！
评分Paul Richard Halmos 每一个局部有界群可以看做一个局部紧群的稠密子群 局部紧群的拓扑由其测度论结构唯一确定 利用测度论语言来描述拓扑 这本书最经典的部分就是关于概率的探讨：事件是一个无法定义的含糊概念 随机变数是定义在测度空间上的实值函数 而且是可测函数
评分原著好难啃
评分绝对开拓视野！
评分最后三章很有启发性。
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