《分析-第3卷》是2012年世界圖書出版社出版的圖書，作者是阿莫恩。
基本介紹
- 中文名：分析-第3卷
- 作者：阿莫恩
- 出版社：世界圖書出版社
- 出版時間：2012年9月
- 頁數：468 頁
- 定價：99 元
- ISBN：9787510047985
內容簡介,目錄,
內容簡介
Thisthirdvolumeconcludesourintroductiontoanalysis,whereinwefinishlayingthegroundworkneededforfurtherstudyofthesubject.Aswiththefirsttwo,thisvolumecontains。
目錄
Foreword
ChapterⅨElementsofmeasuretheory
1Measurablespaces
σ-algebras
TheBorelσ-algebra
Thesecondcountabilityaxiom
GeneratingtheBorela-algebrawithintervals
Basesoftopologicalspaces
Theproducttopology
ProductBorela-algebras
Measurabilityofsections
2Measures
Setfunctions
Measurespaces
Propertiesofmeasures
Nullsets
Outermeasures
Theconstructionofoutermeasures
TheLebesgueoutermeasure
TheLebesgue-Stieltjesoutermeasure
Hausdorffoutermeasures
4Measurablesets
Motivation
Thea-algebraof/μ*-measurablesets
LebesguemeasureandHausdorffmeasure
Metricmeasures
5TheLebasguemeasure
TheLebesguemeasurespace
TheLebesguemeasureisregular
AcharacterizationofLebesguemeasurability
ImagesofLebesguemeasurablesets
TheLebesguemeasureistranslationinvariant
AcharacterizationofLebesguemeasure
TheLebesguemeasureisinvariantunderrigidmotions
Thesubstitutionruleforlinearmaps
SetswithoutLebesguemeasure
ChapterⅩIntegrationtheory
1Measurablefunctions
Simplefunctionsandmeasurablefunctions
Am
