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1、UndergraduateTextsinMathematicsEditors:S.AxlerK.A.RibetUndergraduateTextsinMathematicsForothertitlespublishedinthisseries,gotohttp://www.springer.com/series/666StevenGivant•PaulHalmosIntroductiontoBooleanAlgebrasABCStevenGivantPaulHalmosMillsCollege(Deceased)DepartmentofMathemat
2、icsandComputerScience5000MacArthurBlvdOaklandCA94613-1301USAgivant@mills.eduEditorialBoardS.AxlerK.A.RibetMathematicsDepartmentDepartmentofMathematicsSanFranciscoStateUniversityUniversityofCaliforniaSanFrancisco,CA94132atBerkeleyUSABerkeley,CA94720axler@sfsu.eduUSAribet@math.ber
3、keley.eduISSN:0172-6056ISBN:978-0-387-40293-2e-ISBN:978-0-387-68436-9DOI:10.1007/978-0-387-68436-9LibraryofCongressControlNumber:2008939810MathematicsSubjectClassification(2000):06ExxcSpringerScience+BusinessMedia,LLC2009Allrightsreserved.Thisworkmaynotbetranslatedorcopiedinwhol
4、eorinpartwithoutthewrittenpermissionofthepublisher(SpringerScience+BusinessMedia,LLC,233SpringStreet,NewYork,NY10013,USA),exceptforbriefexcerptsinconnectionwithreviewsorscholarlyanalysis.Useinconnectionwithanyformofinformationstorageandretrieval,electronicadaptation,computersoft
5、ware,orbysimilarordissimilarmethodologynowknownorhereafterdevelopedisforbidden.Theuseinthispublicationoftradenames,trademarks,servicemarks,andsimilarterms,eveniftheyarenotidentifiedassuch,isnottobetakenasanexpressionofopinionastowhetherornottheyaresubjecttoproprietaryrights.Print
6、edonacid-freepaperspringer.comContentsPrefaceix1BooleanRings1Exercises................................52BooleanAlgebras8Exercises................................113BooleanAlgebrasVersusRings14Exercises................................184ThePrincipleofDuality20Exercises...........
7、.....................225FieldsofSets24Exercises................................286ElementaryRelations31Exercises................................337Order38Exercises................................428InfiniteOperations45Exercises................................499Topology53Exercise
8、s................................61vviIntroduct
