经典力学

经典力学

(德) 葛莱纳, 著

出版社:世界图书出版公司北京公司

年代:2007

定价:85.0

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

ⅠVECTORCALCULUS

1IntroductionandBasicDefinitions

2TheScalarProduct

3ComponentRepresentationofaVector

4TheVectorProduct(AxialVector)

5TheTripleScalarProduct

6ApplicationofVectorCalculus

Applicationinmathematics:

Applicationinphysics:

7DifferentiationandIntegrationofVectors

8TheMovingTrihedral(AccompanyingDreibein)--theFrenet

Formulas

ExamplesonFrenetsformulas:

9SurfacesinSpace

10CoordinateFrames

11VectorDifferentialOperations

Theoperationsgradient,divergence,andcurl(rotation)

Differentialoperatorsinarbitrarygeneral(curvilinear)coordinates

12DeterminationofLineIntegrals

13TheIntegralLawsofGaussandStokes

GaussLaw:

TheGausstheorem:

GeometricinterpretationoftheGausstheorem:

Stokeslaw:

14CalculationofSurfaceIntegrals

15Volume(Space)Integrals

ⅡNEWTONIANMECHANICS

16NewtonsAxioms

17BasicConceptsofMechanics

Inertialsystems

Measurementofmasses

Work

Kineticenergy

Conservativeforces

Potential

Energylaw

Equivalenceofimpulseofforceandmomentumchange

Angularmomentumandtorque

Conservationlawofangularmomentum

Lawofconservationofthelinearmomentum

Summary

Thelawofareas

Conservationoforientation

18TheGeneralLinearMotion

19TheFreeFall

Verticalthrow

Inclinedthrow

20Friction

Frictionphenomenainaviscousmedium

MotioninaviscousmediumwithNewtonianfriction

Generalizedansatzforfriction:

21TheHarmonicOscillator

22MathematicalInterlude--SeriesExpansion,EulersFormulas

23TheDampedHarmonicOscillator

24ThePendulum

25MathematicalInterlude:DifferentialEquations

26PlanetaryMotions

27SpecialProblemsinCentralFields

Thegravitationalfieldofextendedbodies

Theattractiveforceofasphericalmassshell

Thegravitationalpotentialofasphericalshellcoveredwithmass

Stabilityofcircularorbits

28TheEarthandourSolarSystem

Generalnotionsofastronomy

Determinationofastronomicquantities

Properties,position,andevolutionofthesolarsystem

Worldviews

Ontheevolutionoftheuniverse

DarkMatter

Whatisthenatureofthedarkmatter?

ⅢTHEORYOFRELATIVITY

29RelativityPrincipleandMichelson-MorleyExperiment

TheMichelson-Morleyexperiment

30TheLorentzTransformation

Rotationofathree-dimensionalcoordinateframe

TheMinkowskispace

GrouppropertyoftheLorentztransformation

31PropertiesoftheLorentztransformation

Timedilatation

Lorentz-Fitzgeraldlengthcontraction

NoteontheinvisibilityoftheLorentz-Fitzgeraldlengthcontraction

Thevisibleappearanceofquicklymovingbodies

Opticalappearanceofaquicklymovingcube

Opticalappearanceofbodiesmovingwithalmostthespeedoflight

Lightintensitydistributionofamovingisotropicemitter

Dopplershiftofquicklymovingbodies

Relativisticspace-timestructure--space-timeevents

Relativisticpast,present,future

Thecausalityprinciple

TheLorentztransformationinthetwo-dimensionalsubspaceoftheMinkowski

space

32AdditionTheoremoftheVelocities

Supervelocityoflight,phase,andgroupvelocity

33TheBasicQuantitiesofMechanicsinMinkowskiSpace

Lorentzscalars

Four-velocityinMinkowskispace

MomentuminMinkowskispace

Minkowskiforce(four-force)

Kineticenergy

TheTachyonhypothesis

DerivationoftheenergylawintheMinkowskispace

Thefourthmomentumcomponent

Conservationofmomentumandenergyforafreeparticle

Relativisticenergyforfreeparticles

Examplesontheequivalenceofmassandenergy

34ApplicationsoftheSpecialTheoryofRelativity

Theelasticcollision

Comptonscattering

Theinelasticcollision

Decayofanunstableparticle

Index

内容摘要:

  Thisvolumeoflectures,ClassicalMechanics:PointParticlesandRelativity,dealswiththefirstandmoreelementarypartoftheimportantfieldofclassicalmechanics.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)85.0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。