Applied Mathematical Modeling(Chapman&Hall-CRC 1999)

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1、APPLIEDMATHEMATICALMODELINGAMultidisciplinaryApproachAPPLIEDMATHEMATICALMODELINGAMultidisciplinaryApproachD.R.ShierK.T.WalleniusCHAPMAN&HALL/CRCBocaRatonLondonNewYorkWashington,D.C.Contents1TheImpactandBenefitsofMathematicalModeling1.1Introduction1.2Mathematical

2、Aspects,Alternatives,Attitudes1.3MathematicalModeling1.4TeachingModeling1.5BenefitsofModeling1.6EducationalBenefits1.7ModelingandGroupCompetition1.8OtherBenefitsofModeling1.9TheRoleofAxiomsinModeling1.10TheChallenge1.11References2RemarksonMathematicalModelBuilding

3、2.1Introduction2.2AnExampleofMathematicalModeling2.3ModelConstructionandValidation2.4ModelAnalysis2.5SomePitfalls2.6Conclusion2.7References3UnderstandingtheUnitedStatesAIDSEpidemic:AModeler’sOdyssey3.1Introduction3.2Prelude:ThePostwarPolioEpidemic3.3AIDS:ANewEp

4、idemicforAmerica3.4WhyAnAIDSEpidemicinAmerica?3.5AMoreDetailedLookattheModel3.6ForaysintothePublicPolicyArena3.7ModelingtheMatureEpidemic3.8AIDSasaFacilitatorofOtherEpidemics3.9ComparisonswithFirstWorldCountries3.10Conclusion:AModeler’sPortfolio3.11References4A

5、ModelfortheSpreadofSleepingSickness4.1Introduction4.2TheCompartmentalModel4.3MathematicalResults4.4Discussion4.5AlternativeModels4.6ExercisesandProjects4.7References5MathematicalModelsinClassicalCryptology5.1Introduction5.2SomeTerminologyofCryptology5.3SimpleSu

6、bstitutionSystems5.4TheVigen´ereCipherandOne-TimePads5.5TheBasicHillSystemandVariations5.6ExercisesandProjects5.7References6MathematicalModelsinPublic-KeyCryptology6.1Introduction6.2CryptosystemsBasedonIntegerFactorization6.3CryptosystemsBasedonDiscreteLogarith

7、ms6.4DigitalSignatures6.5ExercisesandProjects6.6References7NonlinearTransverseVibrationsinanElasticMedium7.1Introduction7.2AStringEmbeddedinanElasticMedium7.3AnApproximationTechnique7.4BaseEquationSolutionofRicattiEquation7.5ExercisesandProjects7.6References8Si

8、mulatingNetworkswithTime-VaryingArrivals8.1Introduction8.2TheRegistrationProblem8.3GeneratingRandomNumbers8.4StatisticalTools8.5ArrivalProcesses8.6QueueingModels8.7Exercises