书目

数学精品系列:物理学与偏微分方程(下册 英文版)

内容简介

PhysicsandPortialDifferentialEquations,Volume//proceedsdirectlyfromVolumeIwithfiveadditionalchaptersthatbridgephysicsandappliedmathematicsinamannerthatiseasilyaccessibletoreaderswithanundergraduate-levelbackgroundinthesedisciplines.Readerswhoaremorefamiliarwithmathematicsthanphysicswilldiscovertheconnectionbetweenvariousphysicalandmechanicaldisciplinesandtheirrelatedmathematicalmodels,whicharedescribedbypartialdifferentialequations(PDEs).Theauthorsestablishthefundamentalequationsforfieldssuchas·electrodynamics;·fluiddynamics,magnetohydrodynamics,andreactingfluiddynamics;·elastic,thermoelastic,andviscoelasticmechanics;·thekinetictheoryofgases;·specialrelativity;and·quantummechanicsReaderswhoaremorefamiliarwithphysicsthanmathematicswillbenefitfromindepthexplanationsofhowPDEsworkaseffectivemathematicaltoolstomoreclearlyexpressandpresentthebasicconceptsofphysicsThebookdescribesthemathematicalstructuresandfeaturesofthesePDEs,including·thetypesandbasiccharacteristicsoftheequations,·thebehaviorofsolutions,and·somecommonlyusedapproachestosolvingPDEs.Eachchaptercanbereadindependentlyandincludesexercisesandreferences.UsedaloneorinconjunctionwithVolumeI,thisbookisappropriateasatextbookforupper-levelundergraduateandgraduatecoursesandcanalsoserveasareferenceforresearchersinapplicationareasthatusePDEsandinphysicalandnrechanicaldisciplines.

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丛书

数学精品系列

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