Analytical Mechanics
Lemos, Nivaldo A., 1952-
Analytical Mechanics [electronic resource] / Nivaldo A. Lemos. - English edition. - 1 online resource (xiii, 459 pages) : digital, PDF file(s).
Title from publisher's bibliographic system (viewed on 01 Aug 2018).
Lagrangian dynamics -- Hamilton's variational principle -- Kinematics of rotationalmotion -- Dynamics of rigid bodies -- Small oscillations -- Relativistic mechanics -- Hamiltonian dynamics -- Canonical transformations -- The Hamilton-Jacobi theory -- Hamiltonian perturbation theory -- Classical field theory.
Analytical 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.
9781108416580 1108265944 1108271405 1108241484
Mechanics, Analytic
Electronic books.
531.01515 / L.N.M.
Analytical Mechanics [electronic resource] / Nivaldo A. Lemos. - English edition. - 1 online resource (xiii, 459 pages) : digital, PDF file(s).
Title from publisher's bibliographic system (viewed on 01 Aug 2018).
Lagrangian dynamics -- Hamilton's variational principle -- Kinematics of rotationalmotion -- Dynamics of rigid bodies -- Small oscillations -- Relativistic mechanics -- Hamiltonian dynamics -- Canonical transformations -- The Hamilton-Jacobi theory -- Hamiltonian perturbation theory -- Classical field theory.
Analytical 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.
9781108416580 1108265944 1108271405 1108241484
Mechanics, Analytic
Electronic books.
531.01515 / L.N.M.