Greiner, Walter, 1935-

Classical mechanics : systems of particles and Hamiltonian dynamics / Walter Greiner ; foreword by D. Allan Bromley. - Delhi : Springer, 2009, c2003. - xx, 542 p. : ill. ; 24 cm. - Classical theoretical physics . - Classical theoretical physics. .

Includes bibliographical references and index.

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 -- Nonlinear Dynamics. Dynamical Systems. Stability of Time-Dependent Paths. I. 1. 2. 3. II. 4. 5. 6. III. 7. 8. 9. 10. IV. 11. 12. 13. V. 14. 15. 16. 17. VI. 18. 19. 20. VII. 21. 22. Bifurcations. Lyapunov Exponents and Chaos. Systems with Chaotic Dynamics -- On the History of Mechanics. Emergence of Occidental Physics in the Seventeenth Century. 23. 24. 25. VIII. 26.

9788181281289


Mechanics, Analytic.

QA805 / .G675 2003

531 / GRE