Classical Mechanics: Systems of Particles and Hamiltonian Dynamics (Paperback, 2, 2010)

Newtonian Mechanics in Moving Coordinate Systems.- Newton’s Equations in a Rotating Coordinate?System.- Free Fall on the Rotating Earth.- Foucault’s Pendulum.- Mechanics of Particle Systems.- Degrees of Freedom.- Center of Gravity.- Mechanical Fundamental Quantities of?Systems?of?Mass?Points.- Vibrating Systems.- Vibrations of Coupled Mass Points.- The Vibrating String.- Fourier Series.- The Vibrating Membrane.- Mechanics of Rigid Bodies.- Rotation About a Fixed Axis.- Rotation About a Point.- Theory of the Top.- Lagrange Equations.- Generalized Coordinates.- D’Alembert Principle and Derivation of?the?Lagrange?Equations.- Lagrange Equation for Nonholonomic Constraints.- Special Problems.- Hamiltonian Theory.- Hamilton’s Equations.- Canonical Transformations.- Hamilton?Jacobi Theory.- Extended Hamilton?Lagrange Formalism.- Extended Hamilton?Jacobi Equation.- Nonlinear Dynamics.- Dynamical Systems.- Stability of Time-Dependent Paths.- Bifurcations.- Lyapunov Exponents and Chaos.- Systems with Chaotic Dynamics.- On the History of Mechanics.- Emergence of Occidental Physics in?the?Seventeenth?Century.