实分析和抽象分析
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作者[美]休伊特（Hewitt E.） 著
出版社世界图书出版公司
出版时间2009-04
版次1
装帧平装
上书时间2023-05-18
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图书标准信息
- 作者 [美]休伊特（Hewitt E.） 著
- 出版社 世界图书出版公司
- 出版时间 2009-04
- 版次 1
- ISBN 9787510004476
- 定价 45.00元
- 装帧 平装
- 开本 24开
- 纸张 胶版纸
- 页数 476页
- 【内容简介】
- Thisbookisfirstofalldesignedasatextforthecourseusuallycalled"theoryoffunctionsofarealvariable".ThiscourseisatpresentcustomarilyofferedasafirstorsecondyeargraduatecourseinUnitedStatesuniversities，althoughtherearesignsthatthissortofanalysiswillsoonpenetrateupperdivisionundergraduatecurricula.Wehaveincludedeverytopicthatwethinkessentialforthetrainingofanalysts，andwehavealsogonedownanumberofinterestingbypaths.Wehopetoothatthebookwillbeusefulasareferenceformaturemathematiciansandotherscientificworkers.Hencewehavepresentedverygeneralandcompleteversionsofanumberofimportanttheoremsandconstructions.Sincethesesophisticatedversionsmaybedifficultforthebeginner，weavegivenelementaryavatarsofallimportanttheorems，withappropriatesuggestionsforskipping.Wehavegivencompletedefinitions，explanations，andproofsthroughout，sothatthebookshouldbeusableforindividualstudyaswellasforacoursetext
- 【目录】
-
ChapterOne：SetTheoryandAlgebra
Section1.Thealgebraofsets
Section2.Relationsandfunctions
Section3.Theaxiomofchoiceandordinalnumbers
Section4.Cardinalnumbersandordinalnumbers
Section5.Constructionoftherealandcomplexnumberfields
ChapterTwo：TopologyandContinuousFunctions
Section8.Theriemann-Stieltjesintegral
Section9.Extendingcertainfunctionals
Section10.Measuresandmeasurablesets
Section11.Measurablefunctions
Section12.TheabstractLebesgueintegral
ChapterFour：FunctionSpacesandBanachSpaces
Section13.Thespaces
Section14.AbstractBanachspaces
Section15.Theconjugatespace
Section16.AbstractHilbertspaces
ChapterFive：Differentiation
Section17.Differentiableandnondifferentiablefunctions
Section18.Absolutelycontinuousfunctions
Section19.ComplexmeasuresandtheLEBESGUE-RADON-NIKODYMtheorem
Section20.ApplicationsoftheLEBESGUE-RADON-NIKODYMtheorem
ChapterSix：IntegrationonProductSpaces
Section21.Theproductoftwomeasurespaces
Section22.Productsofinfinitelymanymeasurespaces
IndexofSymbols
IndexofAuthorsandTerms
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