glimpses of algebra and geometry, 2nd edition - verlag

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1、GlimpsesofAlgebraandGeometry,SecondEditionGaborTothSpringerUndergraduateTextsinMathematicsReadingsinMathematicsEditorsS.AxlerF.W.GehringK.A.RibetGaborTothGlimpsesofAlgebraandGeometrySecondEditionWith183Illustrations,Including18inFullColorGaborTothDepartmentofMathematicalSciencesRutgersU

2、niversityCamden,NJ08102USAgtoth@camden.rutgers.eduEditorialBoardS.AxlerF.W.GehringK.A.RibetMathematicsDepartmentMathematicsDepartmentMathematicsDepartmentSanFranciscoStateEastHallUniversityofCalifornia,UniversityUniversityofMichiganBerkeleySanFrancisco,CA94132AnnArbor,MI48109Berkeley,CA

3、94720-3840USAUSAUSAFrontcoverillustration:Theregularcompoundoffivetetrahedragivenbytheface-planesofacoloredicosahedron.Thecircumscribeddodecahedronisalsoshown.ComputergraphicmadebytheauthorusingGeomview.Backcoverillustration:Theregularcompoundoffivecubesinscribedinadodecahedron.Computer

4、graphicmadebytheauthorusingMathematica.MathematicsSubjectClassification(2000):15-01,11-01,51-01LibraryofCongressCataloging-in-PublicationDataToth,Gabor,Ph.D.Glimpsesofalgebraandgeometry/GaborToth.—2nded.p.cm.—(Undergraduatetextsinmathematics.Readingsinmathematics.)Includesbibliographic

5、alreferencesandindex.ISBN0-387-95345-0(hardcover:alk.paper)1.Algebra.2.Geometry.I.Title.II.Series.QA154.3.T682002512′.12—dc212001049269Printedonacid-freepaper.2002,1998Springer-VerlagNewYork,Inc.Allrightsreserved.Thisworkmaynotbetranslatedorcopiedinwholeorinpartwithoutthewrittenpermiss

6、ionofthepublisher(Springer-VerlagNewYork,Inc.,175FifthAvenue,NewYork,NY10010,USA),exceptforbriefexcerptsinconnectionwithreviewsorscholarlyanalysis.Useinconnectionwithanyformofinformationstor-ageandretrieval,electronicadaptation,computersoftware,orbysimilarordissimi-larmethodologynowknow

7、norhereafterdevelopedisforbidden.Theuseinthispublicationoftradenames,trademarks,servicemarks,andsimilarterms,eveniftheyarenotidentifiedassuch,isnottobetakenasanexpressionofopinionastowhetherornottheyaresubjecttoproprietaryrights.ProductionmanagedbyFrancineMcNeill;manufacturings