Nivaldo A. Lemos
Cambridge University Press; 2nd edition Revised
Analytical Mechanics 2nd edition (PDF) revised; is the foundation of many areas of theoretical physics including statistical mechanics and quantum theory; and has wide-ranging applications in celestial and engineering mechanics. This introduction to the basic principles and methods of analytical mechanics covers Hamiltonian and Lagrangian dynamics; small oscillations; rigid bodies; canonical transformations and Hamilton–Jacobi theory. This fully up-to-date PDF etextbook includes detailed mathematical appendices and addresses a number of advanced topics; some of them of a topological or geometric character. These include constrained Hamiltonian systems; Bertrand’s theorem; spontaneous symmetry breakdown; proof that action is least; non-integrability criteria; KAM theory; Lyapunov functions; classical field theory; geometric phases and Poisson manifolds. Providing good worked examples; end-of-chapter problems; and discussion of ongoing research in the field; it is suitable for graduate students and advanced undergraduate students studying analytical mechanics.
NOTE: This Analytical Mechanics 2e PDF does not include any online access codes