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1、JohnStillwellGeometryofSurfacesWith165FiguresSpringer-VerlagNewYorkBerlinHeidelbergLondonParisTokyoHongKongBarcelonaBudapestJohnStillwellMathematicsDepartmentMonashUniversityClayton,Victoria3168AustraliaEditorialBoard(NorthAmerica):J.H.EwingF.W.GehringDepartmentofMat
2、hematicsDepartmentofMathematicsIndianaUniversityUniversityofMichiganBloomington,IN47405AnnArbor,MI48109USAUSAP.R.HalmosDepartmentofMathematicsSantaClaraUniversitySantaClara,CA95053USAMathematicsSubjectClassifications:51-01,54-01LibraryofCongressCataloging-in-Publicat
3、ionDataStillwell,John.Geometryofsurfaces/JohnStillwell.p.cm.-(Universitext)Includesbibliographicalreferencesandindex.ISBN0-387-97743-0(Springer-VerlagNewYorkBerlinHeidelberg:acid-freepaper).-ISBN3-540-97743-0(Springer-VerlagBerlinHeidelbergNewYork:acid-freepaper)1.Su
4、rfacesofconstantcurvature.I.Title.II.Series.QA645.S751992516.3'62-dc2091-36341Printedonacid-freepaper.©1992Springer-VerlagNewYork,Inc.Allrightsreserved.Thisworkmaynotbetranslatedorcopiedinwholeorinpartwithoutthewrittenpermissionofthepublisher(Springer-VerlagNewYork,I
5、nc.,175FifthAvenue,NewYork,NY10010,USA),exceptforbriefexcerptsinconnectionwithreviewsorscholarlyanalysis.Useinconnectionwithany.formofinformationstorageandretrieval,electronicadaptation,computersoftware,orbysimilarordissimilarmethodologynowknownorhereaf•terdevelopedi
6、sforbidden.Theuseofgeneraldescriptivenames,tradenames,trademarks,etc.,inthispublication,eveniftheformerarenotespeciallyidentified;isnottobetakenasasignthatsuchnames,asunderstoodbytheTradeMarksandMerchandiseMarksAct,mayaccordinglybeusedfreelybyanyone.Productionmanaged
7、byFrancineSikorski;manufacturingsupervisedbyRobertPaella.Photocomposedcopypreparedfromtheauthor'sChiWriterfileusingLaTeX.PrintedandboundbyR.R.Donnelley&Sons,Harrisonburg,VA.PrintedintheUnitedStatesofAmerica.987654321ISBN0-387-97743-0Springer-VerlagNewYorkBerlinHeidel
8、bergISBN3-540-97743-0Springer-VerlagBerlinHeidelbergNewYorkToWilhelmMagnusInMemoriamPreface.Geometryusedtobethebasisofamathematical
