经典力学
出版社：世界图书出版公司北京公司
年代：2007
定价：95.0
书籍简介:
这是一本理论物理专业的大学生、教师、研究生难得的教程，也是一本广大爱好理论物理学的人士的很好的参考书。
书籍目录:
Foreword
Preface
Examples
ⅠNEWTONIANMECHANICSINMOVINGCOORDINATESYSTEMS
1NewtonsEquationsinaRotatingCoordinateSystem
Introductionoftheoperator
FormulationofNewtonsequationintherotatingcoordinatesystem
Newtonsequationsinsystemswitharbitraryrelativemotion
2FreeFallontheRotatingEarth
Perturbationcalculation
Methodofsuccessiveapproximation
Exactsolution
3FoucaultsPendulum
Solutionofthedifferentialequations
Discussionofthesolution
ⅡMECHANICSOFPARTICLESYSTEMS
4DegreesofFreedom
Degreesoffreedomofarigidbody
5CenterofGravity
6MechanicalFundamentalQuantitiesofSystemsofMassPoints
Linearmomentumofthemany-bodysystem
Angularmomentumofthemany-bodysystem
Energylawofthemany-bodysystem
Transformationtocenter-of-masscoordinates
Transformationofthekineticenergy
ⅢVIBRATINGSYSTEMS
7VibrationsofCoupledMassPoints
Thevibratingchain
8TheVibratingString
Solutionofthewaveequation
Normalvibrations
9FourierSeries
10TheVibratingMembrane
Derivationofthedifferentialequation
Solutionofthedifferentialequation:Rectangularmembrane
Inclusionoftheboundaryconditions
Eigenfrequencies
Degeneracy
Nodallines
Generalsolution(inclusionoftheinitialconditions)
Superpositionofnodelinefigures
Thecircularmembrane
SolutionofBesselsdifferentialequation
ⅣMECHANICSOFRIGIDBODIES
11RotationAboutaFixedAxis
Momentofinertia(elementaryconsideration)
Thephysicalpendulum
12RotationAboutaPoint
Tensorofinertia
Kineticenergyofarotatingrigidbody
Theprincipalaxesofinertia
Existenceandorthogonalityoftheprincipalaxes
Transformationofthetensorofinertia
Tensorofinertiainthesystemofprincipalaxes
Ellipsoidofinertia
13TheoryoftheTop
Thefreetop
Geometricaltheoryofthetop
Analyticaltheoryofthefreetop
Theheavysymmetrictop:Elementaryconsiderations
Furtherapplicationsofthetop
TheEulerangles
Motionoftheheavysymmetrictop
ⅤLAGRANGEEQUATIONS
14GeneralizedCoordinates
Quantitiesofmechanicsingeneralizedcoordinates
15DAlembertPrincipleandDerivationoftheLagrangeEquations
Virtualdisplacements
16LagrangeEquationforNonholonomicConstraints
17SpecialProblems
Velocity-dependentpotentials
Nonconservativeforcesanddissipationfunction(frictionfunction)
NonholonomicsystemsandLagrangemultipliers
ⅥHAMILTONIANTHEORY
18HamiltonsEquations
TheHamiltonprinciple
Generaldiscussionofvariationalprinciples
PhasespaceandLiouvillestheorem
Theprincipleofstochasticcooling
19CanonicalTransformations
20Hamilton-JacobiTheory
VisualinterpretationoftheactionfunctionS
Transitiontoquantummechanics
ⅦNONLINEARDYNAMICS
21DynamicalSystems
Dissipativesystems:Contractionofthephase-spacevolume
Attractors
Equilibriumsolutions
Limitcycles
22StabilityofTime-DependentPaths
Periodicsolutions
DiscretizationandPoincarecuts
23Bifurcations
Staticbifurcations
Bifurcationsoftime-dependentsolutions
24LyapunovExponentsandChaos
One-dimensionalsystems
Multidimensionalsystems
Stretchingandfoldinginphasespace
Fractalgeometry
25SystemswithChaoticDynamics
Dynamicsofdiscretesystems
One-dimensionalmappings
ⅧONTHEHISTORYOFMECHANICS
26EmergenceofOccidentalPhysicsintheSeventeenthCentury
Notes
Recommendationsforfurtherreadingontheoreticalmechanics
Index
内容摘要:
Thisvolumeoflectures,ClassicalMechanics:SystemsofParticlesandHamiltonianDynamics,dealswiththesecondandmoreadvancedpartoftheimportantfieldofclassicalmechanics.Wehavetriedtopresentthesubjectinamannerthatisbothinterestingtothestudentandeasilyaccessible.Themaintextisthereforeaccompaniedbymanyexercisesandexamplesthathavebeenworkedoutingreatdetail.Thisshouldmakethebookusefulalsoforstudentswishingtostudythesubjectontheirown.
书籍规格:
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| 出版地 | 北京 | 出版单位 | 世界图书出版公司北京公司 |
| 版次 | 1版 | 印次 | 1 |
| 定价(元) | 95.0 | 语种 | 英文 |
| 尺寸 | 26 | 装帧 | 平装 |
| 页数 | 印数 | 1000 | |
书籍信息归属:
经典力学是世界图书出版公司北京公司于2007.10出版的中图分类号为 O31 的主题关于 经典力学－教材－英文 的书籍。
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