力学（第4版）

图书标准信息

• 作者 弗洛里舍克（Florian.S.） 编
• 出版社 世界图书出版公司
• 出版时间 2009-05
• 版次 4
• ISBN 9787510004490
• 定价 65.00元
• 装帧 平装
• 开本 16开
• 纸张 胶版纸
• 页数 547页
• 正文语种 英语

【内容简介】

PurposeandEmphasis.Mechanicsnotonlyistheoldestbranchofphysicsbutwasandstillisthebasisforalloftheoreticalphysics.Quantummechanicscanhardlybeunderstood,perhapscannotevenbeformulated,withoutagoodknowl-edgeofgeneralmechanics.

【目录】

1.ElementaryNewtonianMechanics
1.1Newton'sLaws（1687）andTheirInterpretation
1.2UniformRectilinearMotionandInertialSystems
1.3InertialFramesinRelativeMotion
!.4MomentumandForce
1.5TypicalForces.ARemarkAboutUnits
1.6Space,Time,andForces
1.7TheTwo-BodySystemwithInternalForces
1.7.1Center-of-MassandRelativeMotion
1.7.2Example:TheGravitationalForceBetweenTwoCelestialBodies（Kepler'sProblem）
1.7.3Center-of-MassandRelativeMomentumintheTwo-BodySystem
1.8SystemsofFinitelyManyParticles
1.9ThePrincipleofCenter-of-MassMotion
1.10ThePrincipleofAngular-MomentumConservation
1.11ThePrincipleofEnergyConservation
1.12TheClosedn-ParticleSystem
1.13GalileiTransformations
1.14SpaceandTimewithGalileiInvariance
1.15ConservativeForceFields
1.16One-DimensionalMotionofaPointParticle
1.17ExamplesofMotioninOneDimension
1.17.1TheHarmonicOscillator
1.17.2ThePlanarMathematicalPendulum
1.18PhaseSpaceforthen-ParticleSystem（inR3）
1.19ExistenceandUniquenessoftheSolutionsofx=F（x,t）
1.20PhysicalConsequencesoftheExistenceandUniquenessTheorem
1.21LinearSystems
1.21.1Linear,HomogeneousSystems
1.21.2Linear,InhomogeneousSystems
1.22IntegratingOne-DimensionalEquationsofMotion
1.23Example:ThePlanarPendulumforArbitraryDeviationsfromtheVertical
1.24Example:TheTwo-BodySystemwithaCentralForce
1.25RotatingReferenceSystems:CoriolisandCentrifugalForces
1.26ExamplesofRotatingReferenceSystems
1.27ScatteringofTwoParticlesthatInteractviaaCentralForceKinematics
1.28Two-ParticleScatteringwithaCentralForce:Dynamics
1.29Example:CoulombScatteringofTwoParticleswithEqualMassandCharge
1.30MechanicalBodiesofFiniteExtension
1.31TimeAveragesandtheVirialTheorem
Appendix:PracticalExamples

2.ThePrinciplesofCanoniealMechanics
2.1ConstraintsandGeneralizedCoordinates
2.1.1DefinitionofConstraints
2.1.2GeneralizedCoordinates
2.2D'Alembert'sPrinciple
2.2.1DefinitionofVirtualDisplacements
2.2.2TheStaticCase
2.2.3TheDynamicalCase
2.3Lagrange'sEquations
2.4ExamplesoftheUseofLagrange'sEquations
2.5ADigressiononVariationalPrinciples
2.6Hamilton'sVariationalPrinciple（1834）
2.7TheEuler-LagrangeEquations
2.8FurtherExamplesoftheUseofLagrange'sEquations
2.9ARemarkAboutNonuniquenessoftheLagrangianFunction.
2.10GaugeTransformationsoftheLagrangianFunction
2.11AdmissibleTransformationsoftheGeneralizedCoordinates
2.12TheHamiltonianFunctionandItsRelationtotheLagrangianFunctionL
2.13TheLegendreTransformationfortheCaseofOneVariable
2.14TheLegendreTransformationfortheCaseofSeveralVariables
2.15CanonicalSystems
2.16ExamplesofCanonicalSystems
2.17TheVariationalPrincipleAppliedtotheHamiltonianFunction
2.18SymmetriesandConservationLaws
2.19Noether'sTheorem
2.20TheGeneratorforInfinitesimalRotationsAboutanAxis
2.21MoreAbouttheRotationGroup
2.22InfinitesimalRotationsandTheirGenerators
2.23CanonicalTransformations
2.24ExamplesofCanonicalTransformations
2.25TheStructureoftheCanonicalEquations
2.26Example:LinearAutonomousSystemsinOneDimension
2.27CanonicalTransformationsinCompactNotation
2.28OntheSymplecticStructureofPhaseSpace
2.29Liouville'sTheorem
2.29.1TheLocalForm
2.29.2TheGlobalForm
2.30ExamplesfortheUseofLiouviile'sTheorem
2.31PoissonBrackets
2.32PropertiesofPoissonBrackets
2.33InfinitesimalCanonicalTransformations
2.34IntegralsoftheMotion
2.35TheHamilton-JacobiDifferentialEquation
2.36ExamplesfortheUseoftheHamilton-JacobiEquation
2.37TheHamilton-JacobiEquationandIntegrableSystems
2.37.1LocalRectificationofHamiltonianSystems
2.37.2IntegrableSystems
2.37.3AngleandActionVariables
2.38PerturbingQuasiperiodicHamiltonianSystems
2.39Autonomous,NondegenerateHamiltonianSystemsintheNeighborhoodofIntegrableSystems
2.40Examples.TheAveragingPrinciple
2.40.1TheAnharmonicOscillator
2.40.2AveragingofPerturbations
2.41GeneralizedTheoremofNoether
Appendix:PracticalExamples

3.TheMechanicsofRigidBodies
3.1DefinitionofRigidBody
3.2InfinitesimalDisplacementofaRigidBody
3.3KineticEnergyandtheInertiaTensor
3.4PropertiesoftheInertiaTensor
3.5Steiner'sTheorem
3.6ExamplesoftheUseofSteiner'sTheorem
3.7AngularMomentumofaRigidBody
3.8Force-FreeMotionofRigidBodies
3.9AnotherParametrizationofRotations:TheEulerAngles
3.10DefinitionofEulerianAngles
3.11EquationsofMotionofRigidBodies
3.12Euler'sEquationsofMotion
3.13Euler'sEquationsAppliedtoaForce-FreeTop
3.14TheMotionofaFreeTopandGeometricConstructions
3.15TheRigidBodyintheFrameworkofCanonicalMechanics
3.16Example:TheSymmetricChildren'sTopinaGravitationalField
3.17MoreAbouttheSpinningTop
3.18SphericalTopwithFriction:The"TippeTop"
3.18.1ConservationLawandEnergyConsiderations
3.18.2EquationsofMotionandSolutionswithConstantEnergy
Appendix：PracticaIExamples

4.RelativisticMechanics
4.1FailuresofNonrelativisticMechanics
4.2ConstancyoftheSpeedofLight
4.3TheLorentzTransformations
4.4AnalysisorLorentzandPoincar6Transformations
4.4.1RotationsandSpecia!LorentzTranformations（“Boosts”）
4.4.2InterpretationofSpecia!LorentzTransformations
4.5Decomposition0fLorentzTransformationsinto7heirComponents
4.5.1PropositiononOrthochronousProperLorentzTransformations
4.5.2CorollaryoftheDecompositionTheoremandSomeConsequences
4.6AdditionofRelativisticVeIocities
4.7GalileanandLorentzianSpace-TimeManifoIds
4.8Orbita!CurvesandProperTime
4.9RelativisticDynamics
4.9.1Newton’SEquation
4.9.2TheEnergy-MomentumVector
4.9.3TheLorentzForce
4.10TimeDilatationandScaleContraction
4.11MoreAbouttheMotionofFreeParticles
4.12TheConformalGroup

5.GeometricAspectsofMechanics
5.1ManifoidsofGeneralizedCOOrdinates
5.2DifferentiableManifoIds
5.2.1TheEuclideanSpaceR
5.2.2SmoothorDifferentiableManifoids
5.2.3ExamplesofSmoothManifoIds
5.3GeometricalObiectsonManifoIds
5.3.1FunctionsandCurvesonManifoIds
5.3.2TangentVectorsonaSmoothManifoId
5.3.3TheTangentBundleofaManifoid
5.3.4VectorFieldsonSmoothManifoIds
5.3.5ExteriorForms
5.4CaiculusonManifoIds
5.4.1DifferentiableMappingsofManifoIds
5.4.2Integra!CurvesofVectorFields

StabilityandChaod
Exercises
SolutionofExercises
AuthorIndex
SubjectIndex