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1、DiscreteMathematicsShizhongLiaoszliao@tju.edu.cnComputerScienceDepartment,TianjinUniversitySeptember10,2012ContentsIntroductiontotheCourseTheFoundations:LogicandProofsBasicStructures:Sets,Functions,Sequences,andSumsTheFundamentals:Algorithms,theIntegers,andMatricesInductionandRecu
2、rsionCountingDiscreteProbabilityAdvancedCountingTechniquesRelationsGraphsTreesBooleanAlgebraSelectedExercisesOutlineIntroductiontotheCourseTeacherBibliographyWhatisDiscreteMathematics?WhyandHowStudyDiscreteMathematics?GradingTheFoundations:LogicandProofsBasicStructures:Sets,Functi
3、ons,Sequences,andSumsTheFundamentals:Algorithms,theIntegers,andMatricesInductionandRecursionCountingDiscreteProbabilityAdvancedCountingTechniquesRelationsGraphsTreesBooleanAlgebraSelectedExercisesOutlineIntroductiontotheCourseTeacherBibliographyWhatisDiscreteMathematics?WhyandHowS
4、tudyDiscreteMathematics?GradingTeacherProf.ShizhongLiaoszliao@tju.edu.cnhttp://cs.tju.edu.cn/faculty/szliao/CoursesResearchAreas•ElementsofArtificialIntelligence•ArtificialIntelligence•DiscreteMathematicsAutomatedReasoning•TheTheoryofComputationMachineLearning•MachineLearningIntelli
5、gentSystems•SelectedTopicsofComputingScience•TheoreticalComputerScience•IntelligenceScienceRandomizedAlgorithmsApproximationAlgorithmsTheoryofComputationOutlineIntroductiontotheCourseTeacherBibliographyWhatisDiscreteMathematics?WhyandHowStudyDiscreteMathematics?GradingBibliography
6、TextbookKernnethH.RosenDiscreteMathematicsanditsApplicationsSixthEditionMcGrawHill,2007ReferenceRonaldL.Graham,DonaldE.Knuth,OrenPatashnikConcreteMathematics—AFoundationforComputerScienceSecondEditionPearsonEducation,2002BibliographyTextbookKernnethH.RosenDiscreteMathematicsandits
7、ApplicationsSixthEditionMcGrawHill,2007ReferenceRonaldL.Graham,DonaldE.Knuth,OrenPatashnikConcreteMathematics—AFoundationforComputerScienceSecondEditionPearsonEducation,2002BibliographyTextbookKernnethH.RosenDiscreteMathematicsanditsApplicationsSixthEditionMcGrawHill,2007Reference
8、RonaldL.Graham,DonaldE.Knuth,Oren
