glimpses of algebra and geometry (utm, springer,2002 toth g 466s)

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1、GlimpsesofAlgebraandGeometry,SecondEditionGaborTothSpringerUndergraduateTextsinMathematicsReadingsinMathematicsEditorsS.AxlerF.W.GehringK.A.RibetGaborTothGlimpsesofAlgebraandGeometrySecondEditionWith183Illustrations,Including18inFullColorGaborTothDepartmentofMathematica

2、lSciencesRutgersUniversityCamden,NJ08102USAgtoth@camden.rutgers.eduEditorialBoardS.AxlerF.W.GehringK.A.RibetMathematicsDepartmentMathematicsDepartmentMathematicsDepartmentSanFranciscoStateEastHallUniversityofCalifornia,UniversityUniversityofMichiganBerkeleySanFrancisco,

3、CA94132AnnArbor,MI48109Berkeley,CA94720-3840USAUSAUSAFrontcoverillustration:Theregularcompoundoffivetetrahedragivenbytheface-planesofacoloredicosahedron.Thecircumscribeddodecahedronisalsoshown.ComputergraphicmadebytheauthorusingGeomview.Backcoverillustration:Theregularc

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

5、duatetextsinmathematics.Readingsinmathematics.)Includesbibliographicalreferencesandindex.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.Allrig

6、htsreserved.Thisworkmaynotbetranslatedorcopiedinwholeorinpartwithoutthewrittenpermissionofthepublisher(Springer-VerlagNewYork,Inc.,175FifthAvenue,NewYork,NY10010,USA),exceptforbriefexcerptsinconnectionwithreviewsorscholarlyanalysis.Useinconnectionwithanyformofinformatio

7、nstor-ageandretrieval,electronicadaptation,computersoftware,orbysimilarordissimi-larmethodologynowknownorhereafterdevelopedisforbidden.Theuseinthispublicationoftradenames,trademarks,servicemarks,andsimilarterms,eveniftheyarenotidentifiedassuch,isnottobetakenasanexpressi

8、onofopinionastowhetherornottheyaresubjecttoproprietaryrights.ProductionmanagedbyFrancineMcNeill;manufacturings