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1、MathematicsThirdTEXTBOOKSinMATHEMATICSEditionTEXTBOOKSinMATHEMATICSMathematicalModellingwithCaseStudies:UsingMaple™andMATLAB®,MATHEMATICALMODELLINGWITHCASESTUDIESThirdEditionprovidesreaderswithhands-onmodellingskillsforawidevarietyofproblemsinvolvingdifferentialequations
2、thatdescriberatesofchange.Whilethebookfocusesongrowthanddecayprocesses,interactingpopulations,andMATHEMATICALMODELLINGheating/coolingproblems,themathematicaltechniquespresentedcanbeap-pliedtomanyotherareas.WITHCASESTUDIESThetextcarefullydetailstheprocessofconstructingamo
3、del,includingthecon-UsingMaple™andMATLAB®versionofaseeminglycomplexproblemintoamuchsimplerone.ItusesflowThirdEditiondiagramsandwordequationstoaidinthemodel-buildingprocessandtode-velopthemathematicalequations.Employingtheoretical,graphical,andcom-putationaltools,theautho
4、rsanalyzethebehaviorofthemodelsunderchangingB.BarnesandG.R.Fulfordconditions.Theauthorsoftenexamineamodelnumericallybeforesolvingitana-lytically.Theyalsodiscussthevalidationofthemodelsandsuggestextensionstothemodelswithanemphasisonrecognizingthestrengthsandlimitationsofe
5、achmodel.FeaturesFocusesoncompartmentalmodels,populationmodels,andheattransferproblemsIncorporatesnewapplicationsandcasestudiesthatreflectcurrentresearchinarangeofdisciplines,suchasenvironmentalscience,biology,andarchaeologyUsescompartmentaldiagramsandwordequationstohelp
6、studentsconceptualizetheformulationofdifferentialequationsProvidesMaple™andMATLAB®codeinthetextandonline,enablingreaderstoreproducetheresultsexactlyThehighlyrecommendedsecondeditionwaspraisedforitslucidwritingstyleandnumerousreal-worldexamples.WithupdatedMapleandMATLABco
7、deaswellasnewcasestudiesandexercises,thisthirdeditioncontinuestogivereadersaclear,practicalunderstandingofthedevelopmentandinterpretationofBarnesmathematicalmodels.FulfordK23646www.crcpress.comK23646_cover.indd111/7/1410:53AMMATHEMATICALMODELLINGWITHCASESTUDIESUsingMaple
8、™andMATLAB®ThirdEditionTEXTBOOKSinMATHEMATICSSeriesEditors:AlBoggessandKenRosenPUBLISHEDTITLESABSTRACTA
