微积分（第1卷）（第2版）

图书标准信息

• 作者 JamesStewart 著
• 出版社 世界图书出版公司
• 出版时间 2004-11
• 版次 1
• ISBN 9787506266253
• 定价 78.00元
• 装帧 平装
• 开本 16开
• 纸张 胶版纸
• 页数 645页

【内容简介】

　　Thefirsteditionwasintendedtobeasynthesisofreformandtraditionalapproachestocalculusinstruction。InthissecondeditionIcontinuetofollowthatpathbyempha-sizingconceptualunderstandingthroughvisual,numerical,andalgebraicapproaches。Theprincipalwayinwhichthisbookdiffersfrommymoretraditionalcalculustextbooksisthatitismorestreamlined。Forinstance,thereisnocompletechapterontechniquesofintegration；Idon＇tproveasmanytheorems（seethediscussiononrigoronpagexi）；andthematerialontranscendentalfunctionsandonparametricequationsisinterwoventhroughoutthebookinsteadofbeingtreatedinseparatechapters。Instruc-torswhopreferfullercoverageoftraditionalcalculustopicsshouldlookatmybooksCalculus,FourthEditionandCalculus：EarlyTranscendentals,FourthEdition。ChangesintheSecondEdition~Thedatainexamplesandexerciseshavebeenupdatedtobemoretimely。~Severalnewexampleshavebeenadded。Forinstance,IaddedthenewExample1inSection5.4（page381）becausestudentshaveatoughtimegraspingtheideaofafunctiondefinedbyanintegralwithavariablelimitofintegration。IthinkithelpstolookatExamples1and2beforeconsideringtheFundamentalTheoremofCalculus。

【目录】

APreviewofCalculus
1FunctionsandModels
1.1FourWaystoRepresentaFunction
1.2MathematicalModels
1.3NewFunctionsfromOldFunctions
1.4GraphingCalculatorsandComputers
1.5ExponentialFunctions
1.6InverseFunctionsandLogarithms
1.7ParametricCurves
LaboratoryProjectRunningCirclesaroundCircles
Review
PrinciplesofProblemSolving
2LimitsandDerivatives
2.1TheTangentandVelocityProblems
2.2TheLimitofaFunction
2.3CalculatingLimitsUsingtheLimitLaws
2.4Continuity
2.5LimitsInvolvingInfinity
2.6Tangents,Velocities,andOtherRatesofChange
2.7Derivatives
WritingProject:EarlyMethodsforFindingTangents
2.8TheDerivativeasaFunction
2.9LinearApproximations
2.10WhatDoesf1Sayaboutf?
Review
FocusonProblemSolving
3DifferentiationRules
4ApplicationsofDifferentiation
5Integrals
6ApplicationsofIntegration
7DifferentialEquations
8InfiniteSequencesandSeries
9VectorsandtheGeometryofSpace
10VectorFunctions
11PartialDerivatives
12MultipleIntegrals
13VectorCalculus
Appendixes
Index