数学精品系列：物理学与偏微分方程（下册英文版）

数学精品系列：物理学与偏微分方程（下册英文版）

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作者: Tatsien 编 , Tiehu Qin 编

出版社: 高等教育出版社

出版时间: 2014-09

版次: 1

ISBN: 9787040408508

定价: 79.00

装帧: 精装

开本: 16开

纸张: 胶版纸

页数: 271页

字数: 370千字

正文语种: 英语

丛书: 数学精品系列

分类: 自然科学

4 张插图图片

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　　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. PrefacetotheEnglishEdition
PrefacetotheChineseEdition
6Thermoelasticity
6.1Introduction
6.2TheConservationLawofEnergyandtheEntropyInequality
6.3ConstitutiveRelationsinThermoelasticity
6.4SystemofThermoelastodynamicsandItsMathematicalStructure
6.5PropagationofAccelerationWaves
Exercises
Bibliography

7Viscoelasticity
7.1Introduction
7.2ConstitutiveEquationsofViscoelasticMaterialsandtheDissipationInequality
7.3SystemofViscoelastodynamicsandItsWell-PosedProblems
7.4SingularityoftheKernelandthePropagationofLinearWaves
7.5PropagationofAccelerationWaves
Exercises
Bibliography

8KineticTheoryofGases
8.1Introduction
8.2BoltzmannEquation
8.3EquilibriumStateofDiluteGases
8.4ConservationLaws
8.5Zero-OrderApproximation
8.6First-OrderApproximation
8.7VlasovEquationandRelatedCoupledSystems
Exercises
Bibliography

9SpecialRelativityandRelativisticFluidDynamics
9.1Introduction
9.2FundamentalPrinciplesinSpecialRelativity;theLorentzTransformation
9.3Space-TimeTheoryinSpecialRelativity
9.4RelativisticDynamics
9.5RelativisticFluidDynamics
9.6MathematicalStructureoftheSystemofRelativisticFluidDynamics
9.7SystemofRelativisticMagnetohydrodynamics
Exercises
Bibliography

10QuantumMechanics
10.1EstablishmentofQuantumMechanics
10.2SchrrdingerEquationandWaveFunction
10.3IntroductiontotheFundamentalPrinciplesofQuantumMechanics
10.4RelativisticQuantumMechanicsandtheDiracEquation
Exercises
Bibliography

AppendixCTensorsinMinkowskiFour-Space-Time
C.1MinkowskiFour-Space-TimeandtheLorentzTransformation
C.2TensorsinMinkowskiFour-Space-Time
C.3OperationsofTensors
C.4CovariantDerivativesofTensors
Index
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.
目录:
PrefacetotheEnglishEdition
PrefacetotheChineseEdition
6Thermoelasticity
6.1Introduction
6.2TheConservationLawofEnergyandtheEntropyInequality
6.3ConstitutiveRelationsinThermoelasticity
6.4SystemofThermoelastodynamicsandItsMathematicalStructure
6.5PropagationofAccelerationWaves
Exercises
Bibliography

7Viscoelasticity
7.1Introduction
7.2ConstitutiveEquationsofViscoelasticMaterialsandtheDissipationInequality
7.3SystemofViscoelastodynamicsandItsWell-PosedProblems
7.4SingularityoftheKernelandthePropagationofLinearWaves
7.5PropagationofAccelerationWaves
Exercises
Bibliography

8KineticTheoryofGases
8.1Introduction
8.2BoltzmannEquation
8.3EquilibriumStateofDiluteGases
8.4ConservationLaws
8.5Zero-OrderApproximation
8.6First-OrderApproximation
8.7VlasovEquationandRelatedCoupledSystems
Exercises
Bibliography

9SpecialRelativityandRelativisticFluidDynamics
9.1Introduction
9.2FundamentalPrinciplesinSpecialRelativity;theLorentzTransformation
9.3Space-TimeTheoryinSpecialRelativity
9.4RelativisticDynamics
9.5RelativisticFluidDynamics
9.6MathematicalStructureoftheSystemofRelativisticFluidDynamics
9.7SystemofRelativisticMagnetohydrodynamics
Exercises
Bibliography

10QuantumMechanics
10.1EstablishmentofQuantumMechanics
10.2SchrrdingerEquationandWaveFunction
10.3IntroductiontotheFundamentalPrinciplesofQuantumMechanics
10.4RelativisticQuantumMechanicsandtheDiracEquation
Exercises
Bibliography

AppendixCTensorsinMinkowskiFour-Space-Time
C.1MinkowskiFour-Space-TimeandtheLorentzTransformation
C.2TensorsinMinkowskiFour-Space-Time
C.3OperationsofTensors
C.4CovariantDerivativesofTensors
Index

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