
作者:JamesStewart
页数:778
出版社:世界图书出版公司
出版日期:2004
ISBN:9787506272421
电子书格式:pdf/epub/txt
内容简介
Thefirsteditionwasintendedtobeasynthesisofreformandtraditionalapproachestocalculusinstruction.InthissecondeditionIcontinuetofollowthatpathbyempha-sizingconceptualunderstandingthroughvisual,numerical,andalgebraicapproaches.Theprincipalwayinwhichthisbookdiffersfrommymoretraditionalcalculustextbooksisthatitismorestreamlined.Forinstance,thereisnocompletechapterontechniquesofintegration;Idon’tproveasmanytheorems(seethediscussiononrigoronpagexi);andthematerialontranscendentalfunctionsandonparametricequation
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本书特色
The first edition was intended to be a synthesis of reform and traditional approaches to calculus instruction.In this second edition I continue to follow that path by empha-sizing conceptual understanding through visual,numerical,and algebraic approaches.The principal way in which this book differs from my more traditional calculus textbooks is that it is more streamlined. For instance,there is no complete chapter on techniques of integration;I don’t prove as many theorems;and the material on transcendental functions and on parametric equations is interwoven throughout the book instead of being treated in separate chapters.Instruc-tors who prefer fuller coverage of traditional calculus topics should look at my books Calculus,Fourth Edition and Calculus: Early Transcendentals,Fourth Edition.
目录
录APreviewofCalculus2
1FunctionsandModels10
1.1FourWaystoRepresentaFunction11
1.2MathematicalModels24
1.3NewFunctionsfromOldFunctions38
1.4GraphingCalculatorsandComputers49
1.5ExponentialFunctions56
1.6InverseFunctionsandLogarithms64
1.7ParametricCurves75
LaboratoryProjectRunningCirclesaroundCircles83
Review84
PrinciplesofProblemSolving88
2LimitsandDerivatives94
2.1TheTangentandVelocityProblems95
2.2TheLimitofaFunction100
2.3CalculatingLimitsUsingtheLimitLaws110
2.4Continuity119
2.5LimitsInvolvingInfinity130
2.6Tangents,Velocities,andOtherRatesofChange142
2.1















