Classical Mechanics: Systems of Particles and Hamiltonian Dynamics
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The series of texts on Classical Theoretical Physics is based on the highly successful series of courses given by Walter Greiner at the Johann Wolfgang Goethe University in Frankfurt am Main, Germany. Intended for advanced undergraduates and beginning graduate students, the volumes in the series provide not only a complete survey of classical theoretical physics but also an enormous number of worked examples and problems to show students clearly how to apply the abstract principles to realistic problems.This edition contains two new chapters on generalized theory of canonical transformations and the Hamilton-Lagrange formalism, as well as new sections in the chapter on Hamiltonian theory. All chapters have been completely revised and updated and numerous new exercises have been added.
ForewordPrefaceExamplesINewtonian Mechanics in Moving Coordinate Systems11Newton's Equations in a Rotating Coordinate System32Free Fall on the Rotating Earth103Foucault's Pendulum23IIMechanics of Particle Systems394Degrees of Freedom415Center of Gravity436Mechanical Fundamental Quantities of Systems of Mass Points66IIIVibrating Systems817Vibrations of Coupled Mass Points838The Vibrating String1059Fourier Series12510The Vibrating Membrane136IVMechanics of Rigid Bodies16311Rotation About a Fixed Axis16512Rotation About a Point19013Theory of the Top216VLagrange Equations26914Generalized Coordinates27115D'Alembert Principle and Derivation of the Lagrange Equations27916Lagrange Equation for Nonholonomic Constraints31417Special Problems324VIHamiltonian Theory33918Hamilton's Equations34119Canonical Transformations38020Hamilton-Jacobi Theory386VIINonlinear Dynamics41721Dynamical Systems41922Stability of Time-Dependent Paths44223Bifurcations45224Lyapunov Exponents and Chaos46025Systems with Chaotic Dynamics475VIIIOn the History of Mechanics51326Emergence of Occidental Physics in the Seventeenth Century515Index537
