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."
發表於2024-12-22
測度論 2024 pdf epub mobi 電子書 下載
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 ...
評分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 ...
評分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 ...
評分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 ...
評分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 ...
圖書標籤: 數學 測度論 Measure_Theory 測度 分析 math Mathematics 數學教材
Paul Richard Halmos 每一個局部有界群可以看做一個局部緊群的稠密子群 局部緊群的拓撲由其測度論結構唯一確定 利用測度論語言來描述拓撲 這本書最經典的部分就是關於概率的探討:事件是一個無法定義的含糊概念 隨機變數是定義在測度空間上的實值函數 而且是可測函數
評分其實第11,12章沒怎麼看懂=。=
評分最後三章很有啓發性。
評分Paul Richard Halmos 每一個局部有界群可以看做一個局部緊群的稠密子群 局部緊群的拓撲由其測度論結構唯一確定 利用測度論語言來描述拓撲 這本書最經典的部分就是關於概率的探討:事件是一個無法定義的含糊概念 隨機變數是定義在測度空間上的實值函數 而且是可測函數
評分其實第11,12章沒怎麼看懂=。=
測度論 2024 pdf epub mobi 電子書 下載