托马斯微积分(影印版·第十版)下册

托马斯微积分(影印版·第十版)下册
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作者:
2004-01
版次: 1
ISBN: 9787040144253
定价: 50.00
装帧: 平装
开本: 16开
纸张: 胶版纸
页数: 1208页
字数: 700千字
正文语种: 简体中文,英语
124人买过
  •   《托马斯微积分》(下第10版影印版)在我国已经加入WT0、经济全球化的今天,为适应当前我国高校各类创新人才培养的需要,大力推进教育部倡导的双语教学,配合教育部实施的“高等学校教学质量-9教学改革工程”和“精品课程”建设的需要,高等教育出版社有计划、大规模地开展了海外优秀数学类系列教材的引进工作。高等教育出版社和PearsonEducation,JohnWiley&Sons,McGraw-Hill,ThomsonLearnin9等国外出版公司进行了广泛接触,经国外出版公司的推荐并在国内专家的协助下,提交弓I进版权总数100余种。收到样书后,我们聘请了国内高校一线教师、专家、学者参与这些原版教材的评介工作,并参考国内相关专业的课程设置和教学实际情况,从中遴选出了这套优秀教材组织出版。 TotheInstructor
    TotheStudent
    PPreliminaries
    1Lines
    2FunctionsandGraphs
    3ExponentialFunctions
    4InverseFunctionsandLogarithms
    5TrigonometricFunctionsandTheirInverses
    6ParametricEquations
    7ModelingChange
    QUESTIONSTOGUIDEYOURREVIEW
    PRACTICEEXERCISES
    ADDITIONALEXERCISES:THEORY,EXAMPLES,APPLICATIONS

    1LimitsandContinuity
    1.1RatesofChangeandLimits__
    1.2FindingLimitsandOne-SidedLimits
    1.3LimitsInvolvingInfinity
    1.4Continuity
    1.5TangentLines
    QUESTIONSTOGUIDEYOURREVIEW
    PRACTICEEXERCISES
    ADDITIONALEXERCISES:THEORY,EXAMPLES,APPLICATIONS

    2Derivatives
    2.1TheDerivativeasaFunction
    2.2TheDerivativeasaRateofChange
    2.3DerivativesofProducts,Quotients,andNegativePowers
    2.4DerivativesofTrigonometricFunctions
    2.5TheChainRuleandParametricEquations
    2.6ImplicitDifferentiation
    2.7RelatedRates
    QUESTIONSTOGUIDEYOURREVIEW
    PRACTICEEXERCISES
    ADDITIONALEXERCISES:THEORY,EXAMPLES,APPLICATIONS

    3ApplicationsofDerivatives
    3.1ExtremeValuesofFunctions
    3.2TheMeanValueTheoremandDifferentialEquations
    3.3TheShapeofaGraph
    3.4GraphicalSolutionsofAutonomousDifferentialEquations
    3.5ModelingandOptimization
    3.6LinearizationandDifferentials
    3.7NewtonsMethod
    QUESTIONSTOGUIDEYOURREVIEW
    PRACTICEEXERCISES
    ADDITIONALEXERCISES:THEORY,EXAMPLES,APPLICATIONS

    4Integration
    4.1IndefiniteIntegrals,DifferentialEquations,andModeling
    4.2IntegralRules;IntegrationbySubstitution
    4.3EstimatingwithFiniteSums
    4.4RiemannSumsandDefiniteIntegrals
    4.5TheMeanValueandFundamentalTheorems
    4.6SubstitutioninDefiniteIntegrals
    4.7NumericalIntegration
    QUESTIONSTOGUIDEYOURREVIEW
    PRACTICEEXERCISES
    ADDITIONALEXERCISES:THEORY,EXAMPLES,APPLICATIONS

    5ApplicationsofIntegrals
    5.1VolumesbySlicingandRotationAboutanAxis
    5.2ModelingVolumeUsingCylindricalShells
    5.3LengthsofPlaneCurves
    5.4Springs,Pumping,andLifting
    ……

    6TranscendentalFunctionsandDifferentialEquations
    7IntegrationTechniques,LHopitalsRuleandImproperIntegrals
    8InfiniteSeries
    9VectorsinthePlaneandPolarFunctions
    10VectorsandmotioninSpace
    11MultivariableFunctionsandTheirDerivatives
    12MultipleIntegrals
    13IntegrationinVectorFields
    Appendices
    Answers
    Index
    ABriefTableofIntegrals
  • 内容简介:
      《托马斯微积分》(下第10版影印版)在我国已经加入WT0、经济全球化的今天,为适应当前我国高校各类创新人才培养的需要,大力推进教育部倡导的双语教学,配合教育部实施的“高等学校教学质量-9教学改革工程”和“精品课程”建设的需要,高等教育出版社有计划、大规模地开展了海外优秀数学类系列教材的引进工作。高等教育出版社和PearsonEducation,JohnWiley&Sons,McGraw-Hill,ThomsonLearnin9等国外出版公司进行了广泛接触,经国外出版公司的推荐并在国内专家的协助下,提交弓I进版权总数100余种。收到样书后,我们聘请了国内高校一线教师、专家、学者参与这些原版教材的评介工作,并参考国内相关专业的课程设置和教学实际情况,从中遴选出了这套优秀教材组织出版。
  • 目录:
    TotheInstructor
    TotheStudent
    PPreliminaries
    1Lines
    2FunctionsandGraphs
    3ExponentialFunctions
    4InverseFunctionsandLogarithms
    5TrigonometricFunctionsandTheirInverses
    6ParametricEquations
    7ModelingChange
    QUESTIONSTOGUIDEYOURREVIEW
    PRACTICEEXERCISES
    ADDITIONALEXERCISES:THEORY,EXAMPLES,APPLICATIONS

    1LimitsandContinuity
    1.1RatesofChangeandLimits__
    1.2FindingLimitsandOne-SidedLimits
    1.3LimitsInvolvingInfinity
    1.4Continuity
    1.5TangentLines
    QUESTIONSTOGUIDEYOURREVIEW
    PRACTICEEXERCISES
    ADDITIONALEXERCISES:THEORY,EXAMPLES,APPLICATIONS

    2Derivatives
    2.1TheDerivativeasaFunction
    2.2TheDerivativeasaRateofChange
    2.3DerivativesofProducts,Quotients,andNegativePowers
    2.4DerivativesofTrigonometricFunctions
    2.5TheChainRuleandParametricEquations
    2.6ImplicitDifferentiation
    2.7RelatedRates
    QUESTIONSTOGUIDEYOURREVIEW
    PRACTICEEXERCISES
    ADDITIONALEXERCISES:THEORY,EXAMPLES,APPLICATIONS

    3ApplicationsofDerivatives
    3.1ExtremeValuesofFunctions
    3.2TheMeanValueTheoremandDifferentialEquations
    3.3TheShapeofaGraph
    3.4GraphicalSolutionsofAutonomousDifferentialEquations
    3.5ModelingandOptimization
    3.6LinearizationandDifferentials
    3.7NewtonsMethod
    QUESTIONSTOGUIDEYOURREVIEW
    PRACTICEEXERCISES
    ADDITIONALEXERCISES:THEORY,EXAMPLES,APPLICATIONS

    4Integration
    4.1IndefiniteIntegrals,DifferentialEquations,andModeling
    4.2IntegralRules;IntegrationbySubstitution
    4.3EstimatingwithFiniteSums
    4.4RiemannSumsandDefiniteIntegrals
    4.5TheMeanValueandFundamentalTheorems
    4.6SubstitutioninDefiniteIntegrals
    4.7NumericalIntegration
    QUESTIONSTOGUIDEYOURREVIEW
    PRACTICEEXERCISES
    ADDITIONALEXERCISES:THEORY,EXAMPLES,APPLICATIONS

    5ApplicationsofIntegrals
    5.1VolumesbySlicingandRotationAboutanAxis
    5.2ModelingVolumeUsingCylindricalShells
    5.3LengthsofPlaneCurves
    5.4Springs,Pumping,andLifting
    ……

    6TranscendentalFunctionsandDifferentialEquations
    7IntegrationTechniques,LHopitalsRuleandImproperIntegrals
    8InfiniteSeries
    9VectorsinthePlaneandPolarFunctions
    10VectorsandmotioninSpace
    11MultivariableFunctionsandTheirDerivatives
    12MultipleIntegrals
    13IntegrationinVectorFields
    Appendices
    Answers
    Index
    ABriefTableofIntegrals
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