成功加入购物车
图书条目标准图
[美] 皮尤 (Pugh C.C) 著 / 高等教育出版社 / 2009-02 / 平装
售价 ¥ 60.00
品相 九五品
优惠 满包邮
延迟发货说明
上书时间2022-07-03
卖家超过10天未登录
实数学分析(影印版)
作者Pugh在伯克利大学讲授数学分析课程30多年之久的基础上编写而成,书中语言表述生动活泼、通俗易懂,引用了很多有价值的例子以及来自Dieudonne,Littlewood和Osserman等几位数学家的评论,还精心挑选了500多个精彩的练习题。《实数学分析(影印版)》内容包括实数、拓扑知识初步、实变函数、函数空间、多元微积分、Lebesgue积分理论等,其中多元微积分的讲法较为接近当前数学界常用的语言,将会对我国数学分析的教学产生积极的影响。
1RealNumbers1Preliminaries2Cuts3EuclideanSpace4Cardinality5*ComparingCardinalities6*TheSkeletonofCalculusExercises2ATasteofTopology1MetricSpaceConcepts2Compactness3Connectedness4Coverings5CantorSets6*CantorSetLore7*CompletionExercises3FunctionsofaRealVariable1Differentiation2RiemannIntegration3SeriesExercises4FunctionSpaces1UniformConvergenceandC0[a,b]2PowerSeries3CompactnessandEquicontinuityinCO4UniformApproximationinCo5ContractionsandODEs6*AnalyticFunctions7*NowhereDifferentiableContinuousFunctions8*SpacesofUnboundedFunctionsExercises5MultivariableCalculus1LinearAlgebra2Derivatives3Higherderivatives4SmoothnessClasses5ImplicitandInverseFunctions6*TheRankTheorem7*LagrangeMultipliers8MultipleIntegrals9DifferentialForms10TheGeneralStokesFormula11*TheBrouwerFixedPointTheoremAppendixA:PerorationsofDieudonneAppendixB:TheHistoryofCavalierisPrincipleAppendixC:AShortExcursionintotheComplexFieldAppendixD:PolarFormAppendixE:DeterminantsExercises6LebesgueTheory1Outermeasure2Measurability3Regularity4Lebesgueintegrals5Lebesgueintegralsaslimits6ItalianMeasureTheory7Vitalicoveringsanddensitypoints8LebesguesFundamentalTheoremofCalculus9LebesguesLastTheoremAppendixA:TranslationsandNonmeasurablesetsAppendixB:TheBanach-TarskiParadoxAppendixC:RiemannintegralsasundergraphsAppendixD:LittlewoodsThreePrinciplesAppendixE:RoundnessAppendixF:MoneySuggestedReadingBibliographyExercisesIndex
展开全部
配送说明
...
相似商品
为你推荐
开播时间:09月02日 10:30