实分析及其在经济学中的应用

图书标准信息

• 作者 [美]鸥克（Efe A.Ok） 著
• 出版社 世界图书出版公司
• 出版时间 2013-01
• 版次 1
• ISBN 9787510050640
• 定价 129.00元
• 装帧 平装
• 开本 24开
• 纸张 胶版纸
• 页数 802页
• 正文语种 英语

【内容简介】

　　Thisisprimarilyatextbookonmathematicalanalysisforgraduatestudentsineconomics.Whiletherearealargenumberofexcellenttextbooksonthisbroadtopicinthemathematicsliterature，mostofthesetextsareoverlyadvancedrelativetotheneedsofthevastmajorityofeconomicsstudentsandconcentrateonvarioustopicsthatarenotreadilyhelpfulforstudyingeconomictheory.Moreover，itseemsthatmosteconomicsstudentslackthetimeorcouragetoenrollinamathcourseatthegraduatelevel.Sometimesthisisnotevenforbadreasons，foronlyfewmathdepartmentsofferclassesthataredesignedfortheparhcularneedsofeconomists.Unfortunately，moreoftenthannot，theconsequentlackofmathematicalbackgroundcre-atesproblemsforthestudentsatalaterstageoftheireducation，sinceanexceedinglylargefractionofeconomictheoryisimpenetrablewithoutsomerigorousbackgroundinrealanalysis.Thepresenttextaimsatprovidingaremedyforthisinconvenientsituation.

【目录】

Preface
Prerequisites
BasicConventions

PARTⅠSETTHEORY
CHAPTERAPreliminariesofRealAnalysis
A.1ElementsofSetTheory
A.1.1Sets
A.1.2Relations
A.1.3EquivalenceRelations
A.1.4O0rderRelations
A.1.5Functions
A.1.6Sequences,Vectors,andMatrices
A.1.7AGlimpseofAdvancedSetTheory:TheAxiomofChoice
A.2RealNumbers
A.2.1OrderedFields
A.2.2NaturalNumbers,Integers,andRationals
A.2.3RealNumbers
A.2.4IntervalsandR
A.3RealSequences
A.3.1ConvergentSequences
A.3.2MonotonicSequences
A.3.3SubsequentialLimits
A.3.4InfiniteSeries
A.3.5Rear.rangementoflnfiniteSeries
A.3.6InfiniteProducts
A.4RealFunctions
A.4.1BasicDefinitions
A.4.2Limits,ContinLuty,andDifferentiation
A.4.3RiemannIntegration
A.4.4Exponential,Logarithmic,andTrigonometricFunctions
A.4.5ConcaveandConvexFunctions
A.4.6QuasiconcaveandQuasiconvexFunctions
CHAPTERBCountability
B.1CountableandUncountableSets
B.2LosetsandQ
B.3SomeMoreAdvancedSetTheory
B.3.1TheCardinalityOrdering
B.3.2TheWell-OrderingPrinciple
B.4Application:OrdinalutilityTheor）r
B.4.1PreferenceRelations
B.4.2UtilitvReDresentationofCompletePreferenceRelations
B.4.3UtilityRepresentationoflncompletePreferenceRelations

PARTⅡANALYSISONMETRICSPACES
CHAPTERCMetricSpaces
C.1BasicNotions
C.1.1MetricSpaces:DefinitionandExamples
C.1.20penandClosedSets
C.1.3ConvergentSequences
……
PARTⅢANALYSISONLINEARSPACES
PARTⅣANALYSISONMETRIC/NORMEDLINEARSPACES

HintsforSelectedExercises
References
ClossaryofSelectedSymbols
Index