Counterexamples in Analysis (Dover Books on Mathematics)

Counterexamples in Analysis (Dover Books on Mathematics)
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作者:
出版社: Dover Publications
2003-06
版次: 1
ISBN: 9780486428758
定价: 126.10
装帧: 平装
开本: 其他
纸张: 其他
页数: 218页
正文语种: 英语
  • Thesecounterexamples,arrangedaccordingtodifficultyorsophistication,dealmostlywiththepartofanalysisknownas"realvariables,"startingatthelevelofcalculus.Thefirsthalfofthebookconcernsfunctionsofarealvariable;topicsincludetherealnumbersystem,functionsandlimits,differentiation,Riemannintegration,sequences,infiniteseries,uniformconvergence,andsetsandmeasureontherealaxis.Thesecondhalf,encompassinghigherdimensions,examinesfunctionsoftwovariables,planesets,area,metricandtopologicalspaces,andfunctionspaces.Thisvolumecontainsmuchthatwillprovesuitableforstudentswhohavenotyetcompletedafirstcourseincalculus,andamplematerialofinteresttomoreadvancedstudentsofanalysisaswellasgraduatestudents.12figures.Bibliography.Index.Errata.
  • 内容简介:
    Thesecounterexamples,arrangedaccordingtodifficultyorsophistication,dealmostlywiththepartofanalysisknownas"realvariables,"startingatthelevelofcalculus.Thefirsthalfofthebookconcernsfunctionsofarealvariable;topicsincludetherealnumbersystem,functionsandlimits,differentiation,Riemannintegration,sequences,infiniteseries,uniformconvergence,andsetsandmeasureontherealaxis.Thesecondhalf,encompassinghigherdimensions,examinesfunctionsoftwovariables,planesets,area,metricandtopologicalspaces,andfunctionspaces.Thisvolumecontainsmuchthatwillprovesuitableforstudentswhohavenotyetcompletedafirstcourseincalculus,andamplematerialofinteresttomoreadvancedstudentsofanalysisaswellasgraduatestudents.12figures.Bibliography.Index.Errata.
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