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1、UndergraduateTextsinMathematicsUndergraduateTextsinMathematicsSeriesEditors:SheldonAxlerSanFranciscoStateUniversity,SanFrancisco,CA,USAKennethRibetUniversityofCalifornia,Berkeley,CA,USAAdvisoryBoard:ColinC.Adams,WilliamsCollege,Williamstown,MA,USAAlejand
2、roAdem,UniversityofBritishColumbia,Vancouver,BC,CanadaRuthCharney,BrandeisUniversity,Waltham,MA,USAIreneM.Gamba,TheUniversityofTexasatAustin,Austin,TX,USARogerE.Howe,YaleUniversity,NewHaven,CT,USADavidJerison,MassachusettsInstituteofTechnology,Cambridge,
3、MA,USAJeffreyC.Lagarias,UniversityofMichigan,AnnArbor,MI,USAJillPipher,BrownUniversity,Providence,RI,USAFadilSantosa,UniversityofMinnesota,Minneapolis,MN,USAAmieWilkinson,UniversityofChicago,Chicago,IL,USAUndergraduateTextsinMathematicsaregenerallyaimeda
4、tthird-andfourth-yearundergraduatemathematicsstudentsatNorthAmericanuniversities.Thesetextsstrivetoprovidestudentsandteacherswithnewperspectivesandnovelapproaches.Thebooksincludemotivationthatguidesthereadertoanappreciationofinterrela-tionsamongdifferent
5、aspectsofthesubject.Theyfeatureexamplesthatillustratekeyconceptsaswellasexercisesthatstrengthenunderstanding.Forfurthervolumes:http://www.springer.com/series/666KennethA.RossElementaryAnalysisTheTheoryofCalculusSecondEditionIncollaborationwithJorgeM.Lope
6、z,Universityof´PuertoRico,R´ıoPiedras123KennethA.RossDepartmentofMathematicsUniversityofOregonEugene,OR,USAISSN0172-6056ISBN978-1-4614-6270-5ISBN978-1-4614-6271-2(eBook)DOI10.1007/978-1-4614-6271-2SpringerNewYorkHeidelbergDordrechtLondonLibraryofCongress
7、ControlNumber:2013950414MathematicsSubjectClassification:26-01,00-01,26A06,26A24,26A27,26A42©SpringerScience+BusinessMediaNewYork2013Thisworkissubjecttocopyright.AllrightsarereservedbythePublisher,whetherthewholeorpartofthematerialisconcerned,specificallyt
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