Calculus (International Metric Edition)

图书标准信息

• 作者 James Stewart 著
• 出版社 Cengage Learning
• 出版时间 2011-01
• 版次 7
• ISBN 9780538498845
• 定价 680.60元
• 装帧 精装
• 开本 其他
• 纸张 其他
• 页数 1368页
• 正文语种 英语

【内容简介】

JamesStewart'sCALCULUStextsarewidelyrenownedfortheirmathematicalprecisionandaccuracy,clarityofexposition,andoutstandingexamplesandproblemsets.MillionsofstudentsworldwidehaveexploredcalculusthroughStewart'strademarkstyle,whileinstructorshaveturnedtohisapproachtimeandtimeagain.IntheSeventhEditionofCALCULUS,Stewartcontinuestosetthestandardforthecoursewhileaddingcarefullyrevisedcontent.Thepatientexplanations,superbexercises,focusonproblemsolving,andcarefullygradedproblemsetsthathavemadeStewart'stextsbest-sellerscontinuetoprovideastrongfoundationfortheSeventhEdition.Fromthemostunpreparedstudenttothemostmathematicallygifted,Stewart'swritingandpresentationservetoenhanceunderstandingandbuildconfidence.

【目录】

DiagnosticTests.
APreviewofCalculus.
1.FUNCTIONSANDLIMITS.
FourWaystoRepresentaFunction.MathematicalModels:ACatalogofEssentialFunctions.NewFunctionsfromOldFunctions.TheTangentandVelocityProblems.TheLimitofaFunction.CalculatingLimitsUsingtheLimitLaws.ThePreciseDefinitionofaLimit.Continuity.Review.PrinciplesofProblemSolving.

2.DERIVATIVES.
DerivativesandRatesofChange.WritingProject:WritingProject:EarlyMethodsforFindingTangents.TheDerivativeasaFunction.DifferentiationFormulas.AppliedProject:BuildingaBetterRollerCoaster.DerivativesofTrigonometricFunctions.TheChainRule.AppliedProject:WhereShouldaPilotStartDescent?ImplicitDifferentiation.LaboratoryProject:FamiliesofImplicitCurves.RatesofChangeintheNaturalandSocialSciences.RelatedRates.LinearApproximationsandDifferentials.LaboratoryProject:TaylorPolynomials.Review.ProblemsPlus.

3.APPLICATIONSOFDIFFERENTIATION.
MaximumandMinimumValues.AppliedProject:TheCalculusofRainbows.TheMeanValueTheorem.HowDerivativesAffecttheShapeofaGraph.LimitsatInfinity;HorizontalAsymptotes.SummaryofCurveSketching.GraphingwithCalculusandCalculators.OptimizationProblems.AppliedProject:TheShapeofaCan.Newton'sMethod.Antiderivatives.Review.ProblemsPlus.

4.INTEGRALS.
AreasandDistances.TheDefiniteIntegral.DiscoveryProject:AreaFunctions.TheFundamentalTheoremofCalculus.IndefiniteIntegralsandtheNetChangeTheorem.WritingProject:Newton,Leibniz,andtheInventionofCalculus.TheSubstitutionRule.Review.ProblemsPlus.

5.APPLICATIONSOFINTEGRATION.
AreasBetweenCurves.AppliedProject:TheGiniIndex.Volume.VolumesbyCylindricalShells.Work.AverageValueofaFunction.Review.ProblemsPlus.

6.INVERSEFUNCTIONS:EXPONENTIAL,LOGARITHMIC,ANDINVERSETRIGONOMETRICFUNCTIONS.
InverseFunctions.InstructorsmaycovereitherSections6.2-6.4orSections6.2*-6.4*.SeethePreface.ExponentialFunctionsandTheirDerivatives.LogarithmicFunctions.DerivativesofLogarithmicFunctions.TheNaturalLogarithmicFunction.TheNaturalExponentialFunction.GeneralLogarithmicandExponentialFunctions.ExponentialGrowthandDecay.InverseTrigonometricFunctions.AppliedProject:WheretoSitattheMovies.HyperbolicFunctions.IndeterminateFormsandl'Hospital'sRule.WritingProject:TheOriginsofl'Hospital'sRule.Review.ProblemsPlus.

7.TECHNIQUESOFINTEGRATION.
IntegrationbyParts.TrigonometricIntegrals.TrigonometricSubstitution.IntegrationofRationalFunctionsbyPartialFractions.StrategyforIntegration.AppliedProject:CalculusandBaseball.IntegrationUsingTablesandComputerAlgebraSystems.DiscoveryProject:PatternsinIntegrals.ApproximateIntegration.ImproperIntegrals.Review.ProblemsPlus.

8.FURTHERAPPLICATIONSOFINTEGRATION.
ArcLength.DiscoveryProject:ArcLengthContest.AreaofaSurfaceofRevolution.DiscoveryProject:RotatingonaSlant.ApplicationstoPhysicsandEngineering.DiscoveryProject:ComplementaryCoffeeCups.ApplicationstoEconomicsandBiology.Probability.Review.ProblemsPlus.

9.DIFFERENTIALEQUATIONS.
ModelingwithDifferentialEquations.DirectionFieldsandEuler'sMethod.SeparableEquations.AppliedProject:HowFastDoesaTankDrain?AppliedProject:WhichisFaster,GoingUporComingDown?ModelsforPopulationGrowth.LinearEquations.Predator-PreySystems.Review.ProblemsPlus.

10.PARAMETRICEQUATIONSANDPOLARCOORDINATES.
CurvesDefinedbyParametricEquations.LaboratoryProject:FamiliesofHypocycloids.CalculuswithParametricCurves.LaboratoryProject:BézierCurves.PolarCoordinates.LaboratoryProject:FamiliesofPolarCurves.AreasandLengthsinPolarCoordinates.ConicSections.ConicSectionsinPolarCoordinates.Review.ProblemsPlus.

11.INFINITESEQUENCESANDSERIES.
Sequences.LaboratoryProject:LogisticSequences.Series.TheIntegralTestandEstimatesofSums.TheComparisonTests.AlternatingSeries.AbsoluteConvergenceandtheRatioandRootTests.StrategyforTestingSeries.PowerSeries.RepresentationsofFunctionsasPowerSeries.TaylorandMaclaurinSeries.LaboratoryProject:AnElusiveLimit.WritingProject:HowNewtonDiscoveredtheBinomialSeries.ApplicationsofTaylorPolynomials.AppliedProject:RadiationfromtheStars.Review.ProblemsPlus.

12.VECTORSANDTHEGEOMETRYOFSPACE.
Three-DimensionalCoordinateSystems.Vectors.TheDotProduct.TheCrossProduct.DiscoveryProject:TheGeometryofaTetrahedron.EquationsofLinesandPlanes.CylindersandQuadricSurfaces.Review.ProblemsPlus.

13.VECTORFUNCTIONS.
VectorFunctionsandSpaceCurves.DerivativesandIntegralsofVectorFunctions.ArcLengthandCurvature.MotioninSpace:VelocityandAcceleration.AppliedProject:Kepler'sLaws.Review.ProblemsPlus.

14.PARTIALDERIVATIVES.
FunctionsofSeveralVariables.LimitsandContinuity.PartialDerivatives.TangentPlanesandLinearApproximation.TheChainRule.DirectionalDerivativesandtheGradientVector.MaximumandMinimumValues.AppliedProject:DesigningaDumpster.DiscoveryProject:QuadraticApproximationsandCriticalPoints.LagrangeMultipliers.AppliedProject:RocketScience.AppliedProject:Hydro-TurbineOptimization.Review.ProblemsPlus.

15.MULTIPLEINTEGRALS.
DoubleIntegralsoverRectangles.IteratedIntegrals.DoubleIntegralsoverGeneralRegions.DoubleIntegralsinPolarCoordinates.ApplicationsofDoubleIntegrals.TripleIntegrals.DiscoveryProject:VolumesofHyperspheres.TripleIntegralsinCylindricalCoordinates.DiscoveryProject:TheIntersectionofThreeCylinders.TripleIntegralsinSphericalCoordinates.AppliedProject:RollerDerby.ChangeofVariablesinMultipleIntegrals.Review.ProblemsPlus.

16.VECTORCALCULUS.
VectorFields.LineIntegrals.TheFundamentalTheoremforLineIntegrals.Green'sTheorem.CurlandDivergence.ParametricSurfacesandTheirAreas.SurfaceIntegrals.Stokes'Theorem.WritingProject:ThreeMenandTwoTheorems.TheDivergenceTheorem.Summary.Review.ProblemsPlus.

17.SECOND-ORDERDIFFERENTIALEQUATIONS.
Second-OrderLinearEquations.NonhomogeneousLinearEquations.ApplicationsofSecond-OrderDifferentialEquations.SeriesSolutions.Review.ProblemsPlus.

APPENDIXES.
A.Intervals,Inequalities,andAbsoluteValues.
B.CoordinateGeometryandLines.
C.GraphsofSecond-DegreeEquations.
D.Trigonometry.
E.SigmaNotation.
F.ProofsofTheorems.
G.GraphingCalculatorsandComputers.
H.ComplexNumbers.
I.AnswerstoOdd-NumberedExercises.