An advanced text for first-year graduate students in physics and engineering taking a standard classical mechanics course.
ForewordAcknowledgments1Universal laws of nature12Lagrange's and Hamilton's equations453Flows in phase space804Motion in a central potential1265Small oscillations about equilibria1486Integrable and chaotic oscillations1567Parameter-dependent transformations1878Linear transformations, rotations, and rotating frames2049Rigid body motions22310Lagrangian dynamics and transformations in configuration space24711Relativity, geometry, and gravity26212Generalized vs nonholonomic coordinates29513Noncanonical flows30714Damped-driven Newtonian systems33415Hamiltonian dynamics and transformations in phase space37316Integrable canonical flows40917Nonintegrable canonical flows43018Simulations, complexity, and laws of nature441Bibliography453Index467