mit press - structure and interpretation of classical mechanics

mit press - structure and interpretation of classical mechanics

ID:18006741

大小:10.44 MB

页数:527页

时间:2018-09-12

mit press - structure and interpretation of classical mechanics_第1页
mit press - structure and interpretation of classical mechanics_第2页
mit press - structure and interpretation of classical mechanics_第3页
mit press - structure and interpretation of classical mechanics_第4页
mit press - structure and interpretation of classical mechanics_第5页
资源描述:

《mit press - structure and interpretation of classical mechanics》由会员上传分享,免费在线阅读,更多相关内容在学术论文-天天文库

1、StructureandInterpretationofClassicalMechanicsStructureandInterpretationofClassicalMechanicsGeraldJaySussmanandJackWisdomwithMeinhardE.MayerTheMITPressCambridge,MassachusettsLondon,England°c2000byTheMassachusettsInstituteofTechnologyAllrightsreserved.Nopartofthisbookmaybereproducedi

2、nanyformorbyanyelectronicormechanicalmeans(includingphotocopying,recording,orinformationstorageandretrieval)withoutpermissioninwritingfromthepublisher.ThisbookwassetbytheauthorsusingtheLATEXtypesettingsystemandwasprintedandboundintheUnitedStatesofAmerica.Thisbookisdedicated,inrespec

3、tandadmiration,toThePrincipleofLeastAction.Theauthorhassparedhimselfnopainsinhisendeavourtopresentthemainideasinthesimplestandmostintelligibleform,andonthewhole,inthesequenceandconnectioninwhichtheyactuallyoriginated.Intheinterestofclearness,itappearedtomeinevitablethatIshouldrepea

4、tmyselffrequently,withoutpay-ingtheslightestattentiontotheeleganceofthepresentation.IadheredscrupulouslytothepreceptofthatbrillianttheoreticalphysicistL.Boltzmann,accordingtowhommattersofeleganceoughtbelefttothetailorandtothecobbler."AlbertEinstein,inRelativity,theSpecialandGeneralT

5、heory,(1961),p.v.ContentsContentsviiPrefacexiiiAcknowledgmentsxvii1LagrangianMechanics11.1ThePrincipleofStationaryAction41.2Con¯gurationSpaces91.3GeneralizedCoordinates111.4ComputingActions161.5TheEuler-LagrangeEquations261.5.1DerivationoftheLagrangeEquations271.5.2ComputingLagrange

6、'sEquations341.6HowtoFindLagrangians371.6.1CoordinateTransformations441.6.2SystemswithRigidConstraints481.6.3ConstraintsasCoordinateTransformations601.6.4TheLagrangianisNotUnique621.7EvolutionofDynamicalState671.8ConservedQuantities761.8.1ConservedMomenta761.8.2EnergyConservation781

7、.8.3CentralForcesinThreeDimensions811.8.4Noether'sTheorem841.9AbstractionofPathFunctions881.10ConstrainedMotion931.10.1CoordinateConstraints95viiiContents1.10.2DerivativeConstraints1021.10.3Non-HolonomicSystems1061.11Summary1091.12Projects1102RigidBodies1132.1RotationalKineticEnergy

8、1142.2KinematicsofR

当前文档最多预览五页,下载文档查看全文

此文档下载收益归作者所有

当前文档最多预览五页,下载文档查看全文
温馨提示:
1. 部分包含数学公式或PPT动画的文件,查看预览时可能会显示错乱或异常,文件下载后无此问题,请放心下载。
2. 本文档由用户上传,版权归属用户,天天文库负责整理代发布。如果您对本文档版权有争议请及时联系客服。
3. 下载前请仔细阅读文档内容,确认文档内容符合您的需求后进行下载,若出现内容与标题不符可向本站投诉处理。
4. 下载文档时可能由于网络波动等原因无法下载或下载错误,付费完成后未能成功下载的用户请联系客服处理。