出版社:科学出版社
年代:2008
定价:96.0
本书面向数学、物理学和工程技术人员全面介绍了经典力学中的基本理论、问题和方法,同时介绍了其物理背景和应用。
1BasicPrinciplesofClassicalMechanics
2Then-BodyProblem
3SymmetryGroupsandOrderReduction.
4VariationalPrinciplesandMethods
5IntegrableSystemsandIntegrationMethods
6PerturbationTheoryforIntegrableSystems
7Non-IntegrableSystems
8TheoryofSmallOscillations
9TensorInvariantsofEquationsofDynamics
RecommendedReading
Bibliography
IndexofNames
SubjectIndex
Thisworkdescribesthefundamentalprinciples,problems,andmethodsofclassicalmechanics.Themainattentionisdevotedtothemathematicalsideofthesubject.Theauthorshaveendeavoredtogiveanexpositionstressingtheworkingapparatusofclassicalmechanics.Thebookissignificantlyexpandedcomparedtothepreviousedition.Theauthorshaveaddedtwochaptersonthevariationalprinciplesandmethodsofclassicalmechanicsaswellasontensorinvariantsofequationsofdynamics.Moreover,variousothersectionshavebeenrevised,addedorexpanded.Themainpurposeofthebookistoacquaintthereaderwithclassicalmechanicsasawhole,inbothitsclassicalanditscontemporaryaspects.Thebookaddressesallmathematicians,physicistsandengineers.