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