Springer.Discrete.Mathematics.Using.a.Computer.Second.Edition.(2006)

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1、DiscreteMathematicsUsingaComputerJohnO’Donnell,CordeliaHallandRexPageDiscreteMathematicsUsingaComputerSecondEditionJohnO’Donnell,PhDCordeliaHall,PhDComputingScienceDepartment,UniversityofGlasgow,GlasgowG128QQ,UKRexPage,PhDSchoolofComputerScience,UniversityofOklahoma,

2、Norman,Oklahoma,USABritishLibraryCataloguinginPublicationDataAcataloguerecordforthisbookisavailablefromtheBritishLibraryLibraryofCongressControlNumber:2005935334ISBN-10:1-84628-241-1ISBN-13:978-1-84628-241-6Printedonacid-freepaper©Springer-VerlagLondonLimited2006Apar

3、tfromanyfairdealingforthepurposesofresearchorprivatestudy,orcriticismorreview,aspermittedundertheCopyright,DesignsandPatentsAct1988,thispublicationmayonlybereproduced,storedortransmitted,inanyformorbyanymeans,withthepriorpermissioninwritingofthepublishers,orinthecase

4、ofreprographicreproductioninaccordancewiththetermsoflicencesissuedbytheCopyrightLicensingAgency.Enquiriesconcerningreproductionoutsidethosetermsshouldbesenttothepublishers.Theuseofregisterednames,trademarks,etc.inthispublicationdoesnotimply,evenintheabsenceofaspecifi

5、cstatement,thatsuchnamesareexemptfromtherelevantlawsandregulationsandthereforefreeforgeneraluse.Thepublishermakesnorepresentation,expressorimplied,withregardtotheaccuracyoftheinformationcontainedinthisbookandcannotacceptanylegalresponsibilityorliabilityforanyerrorsor

6、omissionsthatmaybemade.PrintedintheUnitedStatesofAmerica(HAM)987654321SpringerScience+BusinessMediaspringer.comThisbookisdedicatedtoourparents.PrefacetotheSecondEditionComputerscienceaboundswithapplicationsofdiscretemathematics,yetstu-dentsofcomputerscienceoftenstudy

7、discretemathematicsinthecontextofpurelymathematicalapplications.Theyhavetofigureoutforthemselveshowtoapplytheideasofdiscretemathematicstocomputingproblems.Itisnoteasy.Moststudentsfailtoexperiencebroadsuccessinthisenterprise,whichisnotsurprising,sincemanyofthemostimpor

8、tantadvancesinscienceandengineeringhavebeen,precisely,applicationsofmathematicstospecificscienceandengineeringproblems.Tobesure,most