SADRIHASSANIUNDERGRADUATETEXTSINCONTEMPORARYPHYSICSSeriesEditorsJohnP.ErtelRobertC.HilbornDavidPeakThomasD.RossingCindySchwarzSpringerNewYorkBerlinHeidelbergHongKongLondonMilanParisTokyoUNDERGRADUATETEXTSINCONTEMPORARYPHYSICSCassidy,Holton,andRutherford,UnderstandingPhysicsEnnsandMcGuire,ComputerAlgebraRecipes:AGourmet'sGuidetotheMathematicalModelsofScienceHassani,MathematicalMethods:ForStudentsofPhysicsandRelatedFieldsHassani,MathematicalMethodsUsingMathematica®:ForStudentsofPhysicsandRelatedFieldsHolbrow,Lloyd,andAmato,ModernIntroductoryPhysicsMoller,Optics:LearningbyComputing,withExamplesUsingMathcad®Roe,ProbabilityandStatisticsinExperimentalPhysics,SecondEditionRossingandChiaverina,LightScience:PhysicsandtheVisualArtsMATHEMATICALMETHODSUSINGMATHEMATICA®ForStudentsofPhysicsandRelatedFieldsSadriHassaniWith93IllustrationsandaCD-ROMSpringerSadriHassaniCampusBox4560DepartmentofPhysicsIllinoisStateUniversityNormal,IL61790-4560USAhassani@phy.ilstu.eduSeriesEditorsJohnP.ErtelDepartmentofPhysicsUnitedStatesNavalAcademy572HollowayRoadAnnapolis,MD21402-5026USAjpe@nadn.navy.milDavidPeakDepartmentofPhysicsUtahStateUniversityLogan,UT84322USACindySchwarzDepartmentofPhysicsNorthernIllinoisUniversityDeKalb,IL60115USARobertC.HilbornDepartmentofPhysicsAmherstCollegeAmherst,MA01002USAThomasD.RossingScienceDepartmentNewTrierHighSchoolWinnetka,IL60093USACOVERILLUSTRATI00f:Gradientordifferen-tiationwithrespecttodistanceisshownintwodimensions;thesurfacerepresentsafunc-tionofxandy;thegradientisavectorinthexy-plane.LibraryofCongressCataloging-in-PublicationDataHassani,Sadri.MathematicalmethodsusingMathematica:forstudentsofphysicsandrelatedfields/SadriHassani.p.em.-(Undergraduatetextsincomtemporaryphysics)Includesbibliographicalreferencesandindex.ISBN0-387-95523-2(softcover:alk.paper)1.Physics-Mathematicalmodels.2.Mathematicalphysics-Dataprocessing.3.Mathematica(Computerfile)I.Title.II.Series.QC20.H3932002530'.0285'53042-dc212002070732ISBN0-387-95523-2Printedonacid-freepaper.Mathema...