Single Variable Calculus: Early Transcendentals (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 9780538498883
• 定价 653.90元
• 装帧 精装
• 开本 其他
• 纸张 其他
• 页数 936页
• 正文语种 英语

【内容简介】

JamesStewart'sCALCULUS:EARLYTRANSCENDENTALStextsarewidelyrenownedfortheirmathematicalprecisionandaccuracy,clarityofexposition,andoutstandingexamplesandproblemsets.MillionsofstudentsworldwidehaveexploredcalculusthroughStewart'strademarkstyle,whileinstructorshaveturnedtohisapproachtimeandtimeagain.IntheSeventhEditionofSINGLEVARIABLECALCULUS:EARLYTRANSCENDENTALS,Stewartcontinuestosetthestandardforthecoursewhileaddingcarefullyrevisedcontent.Thepatientexplanations,superbexercises,focusonproblemsolving,andcarefullygradedproblemsetsthathavemadeStewart'stextsbest-sellerscontinuetoprovideastrongfoundationfortheSeventhEdition.Fromthemostunpreparedstudenttothemostmathematicallygifted,Stewart'swritingandpresentationservetoenhanceunderstandingandbuildconfidence.
CourseSmartgoesbeyondtraditionalexpectations–providinginstant,onlineaccesstothetextbooksandcoursematerialsyouneedandatalowercosttoyourstudents.TorequestanelectronicsampleofthisCengageLearningtitle,goto:www.coursesmart.com/instructors.

【目录】

DiagnosticTests.
APreviewofCalculus.
1.FUNCTIONSANDMODELS.
FourWaystoRepresentaFunction.MathematicalModels:ACatalogofEssentialFunctions.NewFunctionsfromOldFunctions.GraphingCalculatorsandComputers.ExponentialFunctions.InverseFunctionsandLogarithms.Review.PrinciplesofProblemSolving.

2.LIMITSANDDERIVATIVES.
TheTangentandVelocityProblems.TheLimitofaFunction.CalculatingLimitsUsingtheLimitLaws.ThePreciseDefinitionofaLimit.Continuity.LimitsatInfinity;HorizontalAsymptotes.DerivativesandRatesofChange.WritingProject:EarlyMethodsforFindingTangents.TheDerivativeasaFunction.Review.ProblemsPlus.

3.DIFFERENTIATIONRULES.
DerivativesofPolynomialsandExponentialFunctions.AppliedProject:BuildingaBetterRollerCoaster.TheProductandQuotientRules.DerivativesofTrigonometricFunctions.TheChainRule.AppliedProject:WhereShouldaPilotStartDescent?ImplicitDifferentiation.DerivativesofLogarithmicFunctions.RatesofChangeintheNaturalandSocialSciences.ExponentialGrowthandDecay.RelatedRates.LinearApproximationsandDifferentials.LaboratoryProject:TaylorPolynomials.HyperbolicFunctions.Review.ProblemsPlus.

4.APPLICATIONSOFDIFFERENTIATION.
MaximumandMinimumValues.AppliedProject:TheCalculusofRainbows.TheMeanValueTheorem.HowDerivativesAffecttheShapeofaGraph.IndeterminateFormsandL'Hospital'sRule.WritingProject:TheOriginsofl'Hospital'sRule.SummaryofCurveSketching.GraphingwithCalculusandCalculators.OptimizationProblems.AppliedProject:TheShapeofaCan.Newton'sMethod.Antiderivatives.Review.ProblemsPlus.

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

6.APPLICATIONSOFINTEGRATION.
AreasbetweenCurves.Volume.VolumesbyCylindricalShells.Work.AverageValueofaFunction.AppliedProject:WheretoSitattheMovies.Review.ProblemsPlus.

7.TECHNIQUESOFINTEGRATION.
IntegrationbyParts.TrigonometricIntegrals.TrigonometricSubstitution.IntegrationofRationalFunctionsbyPartialFractions.StrategyforIntegration.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:WhichisFaster,GoingUporComingDown?ModelsforPopulationGrowth.AppliedProject:CalculusandBaseball.LinearEquations.Predator-PreySystems.Review.ProblemsPlus.

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

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

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