Student’s Manual for Further Mathematics for Economic Analysis -.pdf

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1、Student’sManualFurtherMathematicsforEconomicAnalysisnd2editionArneStrømKnutSydsæterAtleSeierstadPeterHammondForfurthersupportingresourcespleasevisit:www.pearsoned.co.uk/sydsaeterPrefaceThisstudent’ssolutionsmanualaccompaniesFurtherMathematicsforEconomicAnalysis(2ndedition,FTPrenticeH

2、all,2008).Itsmainpurposeistoprovidemoredetailedsolutionstotheproblemsmarkedwith⊂SM⊃inthetext.TheManualshouldbeusedinconjunctionwiththeanswersinthebook.Insomefewcasesonlyapartoftheproblemisdoneindetail,becausetherestfollowsthesamepattern.Attheendofthismanualthereisalistofmisprintsando

3、thererrorsinthebook,andevenoneortwointheerratalistinthepreliminaryandincompleteversionofthismanualreleasedinSeptemberthisyear.Wewouldgreatlyappreciatesuggestionsforimprovementsfromourreadersaswellashelpinweedingouttheinaccuraciesanderrorsthatprobablyremain.OsloandCoventry,October2008

4、ArneStrøm(arne.strom@econ.uio.no)KnutSydsæter(knut.sydsater@econ.uio.no)AtleSeierstad(atle.seierstad@econ.uio.no)PeterHammond(hammond@stanford.edu)Contents1TopicsinLinearAlgebra............................................................12MultivariableCalculus........................

5、.....................................123StaticOptimization...............................................................234TopicsinIntegration..............................................................385DifferentialEquationsI:First-OrderEquationsinOneVariable....................

6、.........436DifferentialEquationsII:Second-OrderEquationsandSystemsinthePlane..................497DifferentialEquationsIII:Higher-OrderEquations......................................568CalculusofVariations.............................................................609ControlTheory:B

7、asicTechniques...................................................6510ControlTheorywithManyVariables..................................................8111DifferenceEquations..............................................................9212DiscreteTimeOptimization......................

8、............