Schaum's Outline of Calculus, 6th Edition: 1,105 Solved Problems + 30 Videos

图书标准信息

• 作者 Frank、Elliott Mendelson 著
• 出版社 MaGraw-Hill
• 出版时间 2012-11
• 版次 6
• ISBN 9780071795531
• 定价 226.50元
• 装帧 平装
• 开本 其他
• 纸张 其他
• 页数 552页
• 正文语种 英语

【内容简介】

Fortunately,there’sSchaum’s.Morethan40millionstudentshavetrustedSchaum'stohelpthemsucceedintheclassroomandonexams.Schaum'sisthekeytofasterlearningandhighergradesineverysubject.EachOutlinepresentsalltheessentialcourseinformationinaneasy-to-follow,topic-by-topicformat.Youalsogethundredsofexamples,solvedproblems,andpracticeexercisestotestyourskills.ThisSchaum'sOutlinegivesyou1,105fullysolvedproblemsConciseexplanationsofallcalculusconceptsExperttipsonusingthegraphingcalculatorFullycompatiblewithyourclassroomtext,Schaum'shighlightsalltheimportantfactsyouneedtoknow.UseSchaum'stoshortenyourstudytime--andgetyourbesttestscores!

【作者简介】

FrankAyresJr.,PhD,wasaprofessorandadepartmentheadatDickinsonCollegeinCarlisle,Pennsylvania.
ElliottMendelson,PhD,isaprofessorofmathematicsatQueensCollegeinNewYorkCity.

【目录】

LinearCoordinateSystems.AbsoluteValue.Inequalities
·RectangularCoordinateSystems
·Lines
·Circles
·EquationsandtheirGraphs
·Functions
·Limits
·Continuity
·TheDerivative
·RulesforDifferentiatingFunctions
·ImplicitDifferentiation
·TangentandNormalLines
·LawoftheMean.IncreasingandDecreasingFunctions
·MaximumandMinimumValues
·CurveSketching.Concavity.Symmetry
·ReviewofTrigonometry
·DifferentiationofTrigonometricFunctions
·InverseTrigonometricFunctions
·RectilinearandCircularMotion
·RelatedRates
·Differentials.Newton’sMethod
·Antiderivatives
·TheDefiniteIntegral.AreaunderaCurve
·TheFundamentalTheoremofCalculus
·TheNaturalLogarithm
·ExponentialandLogarithmicFunctions
·L’Hopital’sRule
·ExponentialGrowthandDecay
·ApplicationsofIntegrationI:AreaandArcLength
·ApplicationsofIntegrationII:Volume
·TechniquesofIntegrationI:IntegrationbyParts
·TechniquesofIntegrationII:TrigonometricIntegrandsandTrigonometricSubstitutions
·TechniquesofIntegrationIII:IntegrationbyPartialFractions
·MiscellaneousSubstitutions
·ImproperIntegrals
·ApplicationsofIntegrationII:AreaofaSurfaceofRevolution
·ParametricRepresentationofCurves
·Curvature
·PlaneVectors
·CurvilinearMotion
·PolarCoordinates
·InfiniteSequences
·InfiniteSeries
·SerieswithPositiveTerms.TheIntegralTest.ComparisonTests
·AlternatingSeries.AbsoluteandConditionalConvergence.TheRatioTest
·PowerSeries
·TaylorandMaclaurinSeries.Taylor’sFormulawithRemainder
·PartialDerivatives
·TotalDifferential.Differentiability.ChainRules
·SpaceVectors
·SurfaceandCurvesinSpace
·DirectionalDerivatives.MaximumandMinimumValues
·VectorDifferentiationandIntegration
·DoubleandIteratedIntegrals
·CentroidsandMomentsofInertiaofPlaneAreas
·DoubleIntegrationAppliedtoVolumeunderaSurfaceandtheAreaofaCurvedSurface
·TripleIntegrals
·MassesofVariableDensity
·DifferentialEquationsofFirstandSecondOrder