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1、Thesoleaimofscienceisthehonorofthehumanmind,andfromthispointofviewaquestionaboutnumbersisasimportantasaquestionaboutthesystemoftheworld.-C.G.J.JacobiDIFFERENTIALEQUATIONSWITHAPPLICATIONSANDHISTORICALNOTESSecondEditionGeorgeF.SimmonsProfessorofMathematicsColoradoCollegewithanewchapteronnumeric
2、almethodsbyJohnS.RobertsonDepartmentofMathematicalSciencesUnitedStatesMilitaryAcademyMcGraw-Hill,Inc.NewYorkSt.LouisSanFranciscoAucklandBogotaCaracasHamburgLisbonLondonMadridMexicoMilanMontrealNewDelhiParisSanJuanSaoPauloSingaporeSydneyTokyoTorontoThisbookwassetinTimesRoman.TheeditorswereRich
3、ardWallisandJohnM.Morriss;theproductionsupervisorwasLouiseKaram.ThecoverwasdesignedbyCarlaBauer.ProjectsupervisionwasdonebyTheUniversitiesPress.R.R.Donnelley&SonsCompanywasprinterandbinder.DIFFERENTIALEQUATIONSWITHAPPLICATIONSANDHISTORICALNOTESCopyright?1991,1972byMcGraw-Hill,Inc.Allrightsres
4、erved.PrintedintheUnitedStatesofAmerica.ExceptaspermittedundertheUnitedStatesCopyrightActof1976,nopartofthispublicationmaybereproducedordistributedinanyformorbyanymeans,orstoredinadatabaseorretrievalsystem,w:thoutthepriorwrittenpermissionofthepublisher.234567890DOCDOC954321ISBN0-07-057540-1Li
5、braryofCongressCataloging-in-PublicationDataSimmons,GeorgeFinlay,(date).DifferentialequationswithapplicationsandhistoricalnotesIGeorgeF.Simmons.-2nded.p.em.ISBN0-07-057540-11.Differentialequations.I.Title.QA372.S491991515'.3?c2090-33686ABOUTTHEAUTHORGeorgeSimmonshasacademicdegreesfromtheCalif
6、orniaInstituteofTechnology,theUniversityofChicago,andYaleUniversity.HetaughtatseveralcollegesanduniversitiesbeforejoiningthefacultyofColoradoCollegein1962,whereheisProfessorofMathematics.HeisalsotheauthorofIntroductiontoTopologyandModernAnalysis(McGraw-Hill,1963),PrecalculusMathematicsinaNuts
7、hell(JansonPublications,1981),andCalculuswithAnalyticGeometry(McGraw-Hill,1985).Whennotworkingortalkingoreatingordrinkingorcooking,ProfessorSimmonsislikelytobetraveling(WesternandSouthernEurope,Turkey,Israel,Egypt,Russia,China,SoutheastAsia),
