000			01535 a2200193 4500
005			20190806105114.0
008			190805b xxu||||| |||| 00| 0 eng d
020			_a9781108416580
040			_cIIT Kanpur
041			_aeng
082			_a531.01515 _bL544a
100			_aLemos, Nivaldo A.
245			_aAnalytical mechanics _cNivaldo A. Lemos
260			_bCambridge University Press _c2018 _aCambridge
300			_axiii, 459p
520			_aAnalytical mechanics is the foundation of many areas of theoretical physics including quantum theory and statistical mechanics, and has wide-ranging applications in engineering and celestial mechanics. This introduction to the basic principles and methods of analytical mechanics covers Lagrangian and Hamiltonian dynamics, rigid bodies, small oscillations, canonical transformations and Hamilton–Jacobi theory. This fully up-to-date textbook includes detailed mathematical appendices and addresses a number of advanced topics, some of them of a geometric or topological character. These include Bertrand's theorem, proof that action is least, spontaneous symmetry breakdown, constrained Hamiltonian systems, non-integrability criteria, KAM theory, classical field theory, Lyapunov functions, geometric phases and Poisson manifolds. Providing worked examples, end-of-chapter problems, and discussion of ongoing research in the field, it is suitable for advanced undergraduate students and graduate students studying analytical mechanics.
650			_aMechanics analytic
942			_cBK
999			_c560639 _d560639