增长和扩散现象的数学模式和应用

定　价：¥71.00

作　者：	[泰]Robert B.Banks著
出版社：	世界图书出版公司北京公司
丛编项：
标　签：	暂缺

购买这本书可以去

当当网 (¥56.80)

ISBN：	9787506233903	出版时间：	1998-01-01	包装：	出版日期：1998-3-1 版次：1
开本：	20cm	页数：	455页	字数：

内容简介

　　Permutation groups arguably form the oldest part of group theory. Their study dates back to the early years of the nineteenth century and， indeed， for a long time groups were always understood to be permutation groups. Although， of course， this is no longer true， permutation groups continue to play an important role in modern group theory through the ubiquity of group actions and the concrete representations which permutation groups provide for abstract groups. Today， both finite and infinite permutation groups are lively topics of research.本书为英文版！

作者简介

暂缺《增长和扩散现象的数学模式和应用》作者简介

图书目录

1Introduction
2SomeBasicFrameworks
2.1ExponentialFunction
2.1.1TheExponentialFunctionandItsProperties
2.1.2DoublingTimes
2.1.3AnIllustration:PopulationoftheUnitedStates
2.1.4ExponentialFunctionwithMigration
2.1.5PowerLawExponentialFunction
2.1.6AnIllustration:PopulationoftheWorld
2.1.7CombinationsofExponentialFunctions
2.1.8SolutionsandPropertiesoftheEquations
2.1.9AnIllustration:OxygenDistributioninaRiver
2.2LogisticDistribution
2.2.1TheDifferentialEquationandItsSolution
2.2.2PropertiesoftheLogisticDistribution
2.2.3AnIllustration:TechnologySubstitution
2.2.4AnIllustration:DiffusionofImprovedPastureTechnologyinUruguay
2.2.5AnIllustration:GrowthofPrimeMoverHorsepowerintheU.S.
2.3ConfinedExponentialDistribution
2.3.1ScopeofApplicationsoftheDistribution
2.3.2TheDifferentialEquationwithConstantCoefficients
2.3.3TheDifferentialEquationwithVariableCoefficients
2.3.4VariableTransferCoefficient
2.3.5VariableEquilibriumValue
2.3.6AnIllustration:OxygenTransferAcrossaWaterSurface
2.3.7AnIllustration:BiochemicalOxygenDemand
2.3.8AnIllustration:GrowthofHumans
2.3.9AnIllustration:PublicInterestinaNewsEvent
2.4CombinationoftheLogisticDistributionandtheConfinedExponentialDistribution
2.4.1ComparisonoftheTwoDistributions
2.4.2PhenomenainIndustrialTechnologyTransfer
2.4.3PhenomenainSocialInnovationDiffusion
2.4.4PhenomenainChemicalReactionKinetics
2.4.5PhenomenainthePsychologyofLearning
2.4.6TheDifferentialEquation,ItsSolutionandProperties
2.4.7AnIllustration:AdoptionofaTornadoWarningDevice
2.4.8CombinationoftheExponentialFunctionandtheConfinedExponentialDistribution
2.4.9AnIllustration:PopulationofCalifornia
2.5NormalProbabilityDistribution
2.5.1TheNormalProbabilityFunctionandItsFeatures
2.5.2RelationshipBetweentheNormalProbabilityFunctionandtheErrorFunction
2.5.3ApproximateExpressionsfortheNormalFunctionandItsInverse
2.5.4ComparisonoftheLogisticandNormalProbabilityDistributions
2.5.5AnIllustration:AdoptionofHerbicidesbyMexicanBarleyFarmers
2.6PowerLawLogisticDistribution
2.6.1TheDifferentialEquationandItsFeatures
2.6.2TheGrowthCurveandItsProperties
2.6.3TheRichardsFunction
2.6.4AnIllustration:SaleofDevelopmentProperty
2.6.5AnIllustration:GrowthofPineTreesinNewZealand
2.6.6AnIllustration:AdoptionofHybridCornintheUnitedStates
2.7LogisticGrowthwithMigration
2.7.1ImmigrationandEmigration
2.7.2LogisticGrowthwithConstantStocking
2.7.3LogisticGrowthwithConstantHarvesting
2.7.4LogisticGrowthwithVariableHarvesting
2.7.5AnIllustration:FishHarvesting
2.7.6AnIllustration:TheSandhillCrane
2.8EpidemicsandTechnologyTransfer
2.8.1SimpleandGeneralEpidemics
2.8.2TheDifferentialEquationsandPhasePlaneDisplay
2.8.3SolutionstotheDifferentialEquations
2.8.4LogarithmicFormoftheSolutions
2.8.5ATechnologyTransferAnalogy
2.8.6AnIllustration:BombayPlagueof1905-1906
2.9SomeModificationsoftheLogisticDistribution
2.9.1UseofTaylorSeries
2.9.2FirstOrderDifferentialEquations
2.9.3AnIllustration:GrowthofWaterFleasandTrees
2.9.4AnIllustration:SaleofDevelopmentPropertyRevisited
2.9.5SecondOrderDifferentialEquations
2.9.6AnIllustration:Multiplier-AcceleratorModelofaNationalEconomy
3SomeAdditionalFrameworks
3.1GompertzDistribution
3.1.1TheGompertzDistributionandItsFeatures
3.1.2AnIllustration:GrowthofPlantLeaves
3.1.3AnIllustration:DynamicsofTumorGrowth
3.2WeibullDistribution
3.2.1TheWeibullDistributionandItsFeatures
3.2.2AnIllustration:SubstitutionofDieselandElectricLocomotivesforSteamLocomotives
intheUnitedStates
3.3AGeneralizedDistribution
3.3.1CumulativeandDensityDistributionFunctions
3.3.2AGeneralizedSymmetricalFunction
3.3.3ExtremeMaximumValueDistribution
3.3.4ExtremeMinimumValueDistribution
3.3.5AnIllustration:DoseResponseAnalysisofBeetleMortalityData
3.4HyperlogisticDistribution
3.4.1TheDifferentialEquationandSomeExamples
3.4.2SolutiontotheDifferentialEquation
3.4.3SomePropertiesoftheHyperlogisticEquation
3.4.4NumericalExamplesoftheHyperlogisticEquation
3.4.5AnIllustration:AdoptionofaTornadoWarningDeviceRevisited
3.4.6CoalitionandModifiedCoalitionGrowthModels
3.4.7AnIllustration:PopulationoftheWorld
3.4.8AnIllustration:GrowthofthePublicDebtoftheUnitedStates
3.5VariousOtherDistributions
3.5.1ComparisonofDistributionFunctions
3.5.2Arctangent-ExponentialDistribution
3.5.3PearsonTypeVIIDistribution
3.5.4ArctangentDistribution
3.5.5GammaDistribution
3.5.6GeneralizedGammaDistribution
3.5.7AnIllustration:GenerationTimesofCells
3.5.8AnIllustration:PopulationofGreatBritain
4PhenomenawithVariableGrowthCoefficients
4.1LinearlyVariableGrowthCoefficient
4.1.1TheGrowthCurveandItsProperties
4.1.2AnIllustration:GrowthandDeclineofU.S.SailingVessels
4.2HyperbolicallyVariableGrowthCoefficient
4.2.1TheGrowthCurveandItsProperties
4.2.2RelationshiptoPowerLawExponentialGrowth
4.2.3AnIllustration:PopulationoftheGreatPlainsStates
4.3ExponentiallyVariableGrowthCoefficient
4.3.1ExtremeMaximumValueDistribution
4.3.2ExtremeMinimumValueDistribution
4.3.3AnIllustration:SurvivalofRats
4.4SinusoidallyVariableGrowthCoefficient
4.4.1SomeExamplesofOscillatoryPhenomena
4.4.2SimpleHarmonicGrowthCoefficient
4.4.3ExponentiallyDecreasingGrowthCoefficient:TypeI
4.4.4AnIllustration:GrowthofaSpeciesofLandSnails
4.4.5ExponentiallyDecreasingGrowthCoefficient:TypeII
4.4.6AnIllustration:GrowthofCellPopulations
4.4.7SinusoidallyVariableGrowthCoefficientinaPowerLawExponentialEquation
4.4.8AnIllustration:NumberofPatentsIssuedforInventions
5PhenomenawithVariableCarryingCapacities
5.1ExponentiallyVariableCarryingCapacity
5.1.1TheGrowthCurveandItsProperties
5.1.2AnIllustration:FarmPopulationoftheUnitedStates
5.2LogisticallyVariableCarryingCapacity
5.2.1SomePreviousStudies
5.2.2TheGrowthCurveandItsProperties
5.2.3RelativeValuesofGrowthParameters
5.2.4AnIllustration:EnrollmentsinUniversitiesintheUnitedStates
5.3LinearlyVariableCarryingCapacity
5.3.1TheGrowthCurveandItsProperties
5.3.2AnIllustration:HorsesandMulesonU.S.Farms
5.3.3AnIllustration:SteamLocomotivesonU.S.Railroads
5.4HyperbolicallyVariableCarryingCapacity
5.4.1LinearlyChangingCrowdingCoefficient
5.4.2TheGrowthCurvesandItsProperties
5.4.3AnIllustration:GrowthRatesofWheatPlantComponents
5.5SinusoidallyVariableCarryingCapacity
5.5.1CyclicVariationsinGrowthandTransferPhenomena
5.5.2TheGrowthCurveandItsProperties
5.5.3PhasePlaneDisplay
5.5.4ExponentiallyChangingCarryingCapacity
5.5.5AnIllustration:RailwayMileageintheUnitedStates
5.6PowerLawLogisticwithaPowerLawLogisticallyVariableCarryingCapacity
5.6.1ThePowerLawLogistic
5.6.2TheDifferentialEquationandItsSolution
5.6.3AnIllustration:PopulationoftheUnitedStates
6PhenomenawithTimeDelays
6.0.1Introduction
6.0.2TypesandFeaturesofDelayEquations
6.1DiscreteTimeDelayintheExponentialEquation
6.1.1TheDelayDifferentialEquationandItsSolution
6.1.2RootsoftheCharacteristicEquation
6.1.3BehavioroftheSolutions
6.1.4AnIllustration:Tinbergen'sShipbuildingCycle
6.2DiscreteTimeDelayintheLogisticEquation
6.2.1IntroductiontotheDelayDifferentialEquation
6.2.2SolutiontotheDiscreteDelayLogisticFunction
6.2.3NumericalExample
6.2.4AnIllustration:Nicholson'sBlowflies
6.3DistributedTimeDelay:DelayIntegralintheCrowdingTerm
6.3.1TheIntegro-differentialEquation
6.3.2SolutiontotheIntegro-differentialEquation
6.3.3AnIllustration:GrowthandDeclineofthePopulationsofNortheastandEastNorthCentralAmericanCities
6.4DistributedTimeDelay:DelayIntegralinaPollutionTerm
6.4.1TheIntegro-differentialEquationandItsSolution
6.4.2AnApproximateSech-squaredSolution
6.4.3NumericalExamples
6.4.4AnIllustration:GrowthandSelf-ContaminationofBacteria
7PhenomenawithSpatialDiffusion
77.0.1Introduction
7.0.2TheDiffusionEquation
7.1DiffusionfromInstantaneousSources
7.1.1PlaneSource,LineSourceandPointSource
7.1.2RectilinearDiffusionwithConvection
7.1.3AnIllustration:DispersioninPipelines
7.1.4RadialDiffusionwithExponentialGrowth
7.1.5AnIllustration:BiologicalDispersion
7.2DiffusionfromContinuousSource
7.2.1RectilinearDiffusionwithConstantBoundaryCondition
7.2.2AnIllustration:BacterialMotility
7.2.3RectilinearDiffusionwithVariableBoundaryCondition
7.2.4AnIllustration:TemperatureDistributionintheSoil
7.2.5RadialDiffusion
7.2.6AnIllustration:UnsteadyFluidFlowinanAquifer
7.2.7RectilinearDiffusionwithConvection
7.3DiffusionwithReactioninaFiniteRegion
7.3.1DimensionalAnalysis
7.3.2ExponentialGrowthinaFiniteRegion
7.3.3PowerLawExponentialGrowthinaFiniteRegion
7.3.4LogisticGrowthinaFiniteRegion
7.3.5AnIllustration:ZoneofRegulatedFishing
7.4DiffusionwithConvectionandReaction
7.4.1TheDifferentialEquationandItsSolution
7.4.2ExponentialGrowthwithConvectionandDiffusion
7.4.3ExponentialDecaywithConvectionandDiffusion
7.4.4ConvectionandDiffusionwithInterphaseTransfer
7.4.5AnIllustration:ChemicalSoluteRemovalbyAdsorption
7.5DiffusionwithConfinedExponentialGrowth
7.5.1RectilinearDiffusion
7.5.2AnIllustration:HeatTransferfromaRiver
7.5.3RadialDiffusion
7.5.4AnIllustration:PopulationinCities
7.5.5Temporal-SpatialDiffusion
7.5.6AnIllustration:PopulationofLondon
7.6DiffusionwithLogisticGrowth
7.6.1TravelingWaveSolutions
7.6.2APowerLawTravelingWaveSolution
7.6.3AnIllustration:DiffusionofTractorUtilization
7.6.4AnIllustration:AdoptionofHybridCornRevisited
8Conclusion
References
AuthorIndex
SubjectIndex