000			01708nam a22002177a 4500
003			OSt
005			20230612162502.0
008			230609b xxu||||| |||| 00| 0 eng d
020			_a9788173198458
040			_cIIT Kanpur
041			_aeng
082			_a531.1 _bT149h
100			_aTalukdar, B.
245			_aHigher-order systems in classical mechanics _cB. Talukdar and U. Das
260			_aNew Delhi _bNarosa Publishing House _c2008
300			_ax, 226p
520			_aHigher-Order Systems in Classical Mechanics provides a valuable account of the problems in Newtonian mechanics characterized by higher-order Lagrangians which play a role in diverse areas of physics ranging from generalized electrodynamics to string models of elementary particles. In addition to the usual treatment of the direct problem of variational calculus, the solution of the inverse problem is also discussed with special attention to the existence of Lagrangian and Hamiltanian representations of ordinary and partial differential equations. Starting from the traditional treatment of classical mechanics, the authors make a smooth transition to topics like Hamiltonian formulation and Hamilton-Jacobi theory of degenerate higher-order systems. Addressing, in particular, the interest of physicists, equal emphasis is given on both point- and continuum mechanics. As an interesting curiosity, it is demonstrated that Lagrangians with fractional derivatives can bring non-conservative forces within the framework of action principle. A comprehensive introduction is presented for studying the variational/Noether symmetries of dynamical systems.
650			_aMechanics, Analytic
700			_aDas, U.
942			_cBK
999			_c566616 _d566616