Springer.Computing.in.Algebraic.Geometry.A.Quick.Start.Using.SINGULAR.2006

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1、AlgorithmsandComputationinMathematics•Volume16EditorsArjehM.CohenHenriCohenDavidEisenbudBerndSturmfelsWolframDeckerChristophLossenComputinginAlgebraicGeometryAQuickStartusingSINGULAR123WolframDeckerFachrichtung6.1MathematikUniversitätdesSaarlandesPostfach15115066041Saarbrücken,Germanye-mail:de

2、cker@math.uni-sb.deChristophLossenFachbereichMathematikTechnischeUniversitätKaiserslauternPostfach304967653Kaiserslautern,Germanye-mail:lossen@mathematik.uni-kl.deLibraryofCongressControlNumber:2005938498MathematicsSubjectClassification(2000):13P05,13P10,14Q99,14A05,14A25,68W30,11Y35,12Y05,13D0

3、2,13D07,13H10,14B25,16E05,13A50,14L24ISSN1431-1550ISBN-103-540-28992-5SpringerBerlinHeidelbergNewYorkISBN-13978-3-540-28992-0SpringerBerlinHeidelbergNewYorkThisworkissubjecttocopyright.Allrightsarereserved,whetherthewholeorpartofthematerialisconcerned,specificallytherightsoftranslation,reprinti

4、ng,reuseofillustrations,recitation,broadcasting,reproductiononmicrofilmorinanyotherway,andstorageindatabanks.DuplicationofthispublicationorpartsthereofispermittedonlyundertheprovisionsoftheGermanCopyrightLawofSeptember9,1965,initscurrentversion,andpermissionforusemustalwaysbeobtainedfromSpringe

5、randHindustanBookAgency.ViolationsareliableforprosecutionundertheGermanCopyrightLaw.SpringerisapartofSpringerScience+BusinessMediaspringer.com©Springer-VerlagBerlinHeidelbergandHindustanBookAgencyNewDelhi2006PrintedinIndiaTheuseofgeneraldescriptivenames,registerednames,trademarks,etc.inthispub

6、licationdoesnotimply,evenintheabsenceofaspecificstatement,thatsuchnamesareexemptfromtherelevantpro-tectivelawsandregulationsandthereforefreeforgeneraluse.Typesetting:bytheauthorsusingaSpringerLATEXmacropackageProduction:LE-TEXJelonek,Schmidt&VöcklerGbR,LeipzigCoverdesign:design&productionGmbH,H

7、eidelbergPrintedonacid-freepaper46/3100YL-543210ToHelmi,Doris,Anne,andMatthias,withloveW.D.ToCarmen,KatrinandCarolin,withloveC.L.PrefaceSystemsofpolynomialequationsarecentraltomathematicsanditsapplica-tiontoscienceandengineering.Theirso