实分析引论（英文版）（原书第2版）

正版现货实物拍摄

30 5.5折 55 九品

仅1件

北京昌平

认证卖家担保交易快速发货售后保障

作者[美]银路著

出版社机械工业出版社

出版时间2004-07

版次2

装帧平装

货号D62

上书时间2024-09-21

已实名已认证进店收藏店铺

【内容简介】: 《实分析引论（英文版）（原书第2版）》内容丰富，既包括了数学分析和实变函数的基本内容，又有近代数学中最基础的概念和方法。但又具有很强的可读性，对于概念的讲述注意从简单到复杂，从一般到特殊，基础内容和较深入的研究性问题兼顾。
【目录】: 总算说明
序
PREFACE
TOTHESTUDENT
1TheRealNumberSystem
1.1SetsandOperationsonSets
1.2Functions
1.3MathematicalInduction
1.4TheLeastUpperBoundProperty
1.5ConsequencesoftheLeastupperBoudProperty
1.6binaryandTernaryExpansions
1.7CountableandUncountableSets
Notes
MiscellaneousExercises
SupplementalReading
2SequencesofRealNumbers
2.1convergentSequences
2.2LimitTherems
2.3MonotoneSequences
2.4SubequencesandtheBolzano-VeierstrassThorem
2.5LimitSuperiorandInferiorofaSequence
2.6CauchySequences
2.7SeriesofRealNumbers
Notes
MiscellaneousExercises
SupplementalReading
3StructureofPointSets
3.1OpenandClosedSets
3.2compactSets
3.3TheCantorSet
Notes
MiscellaneousExercises
SupplementalReading
4LimitsandContinulty
4.1LimitofaFunction
4.2ContinuousFunctions
4.3UniformContinuity
4.4MonotoneFunctionsanddiscontinuties
Notes
MiscellaneousExercises
SupplementalReading
5Differentiation
6TheRiemannandRiemann-StieltjesIntegral
7SeriesofRealNumbers
8SequencesandSeriesofFunctions
9OrthogonalFunctionsandFourierSeries
10LebesgueMeasureandIntegration
APPENDIX:LogicandProofs