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Classical mechanics : systems of particles and Hamiltonian dynamics / Walter Greiner ; foreword by D. Allan Bromley.

By: Material type: TextTextSeries: Classical theoretical physicsPublication details: Delhi : Springer, 2009, c2003.Description: xx, 542 p. : ill. ; 24 cmISBN:
  • 9788181281289
Subject(s): DDC classification:
  • 531 22 GRE
LOC classification:
  • QA805 .G675 2003
Contents:
I. Newtonian Mechanics in Moving Coordinate Systems. 1. Newton's Equations in a Rotating Coordinate System. 2. Free Fall on the Rotating Earth. 3. Foucault's Pendulum -- II. Mechanics of Particle Systems. 4. Degrees of Freedom. 5. Center of Gravity. 6. Mechanical Fundamental Quantities of Systems of Mass Points -- III. Vibrating Systems. 7. Vibrations of Coupled Mass Points. 8. The Vibrating String. 9. Fourier Series. 10. The Vibrating Membrane -- IV. Mechanics of Rigid Bodies. 11. Rotation About a Fixed Axis. 12. Rotation About a Point. 13. Theory of the Top -- V. Lagrange Equations. 14. Generalized Coordinates. 15. D'Alembert Principle and Derivation of the Lagrange Equations. 16. Lagrange Equation for Nonholonomic Constraints. 17. Special Problems -- VI. Hamiltonian Theory. 18. Hamilton's Equations. 19. Canonical Transformations. 20. Hamilton-Jacobi Theory -- VII. Nonlinear Dynamics. 21. Dynamical Systems. 22. Stability of Time-Dependent Paths.
23. Bifurcations. 24. Lyapunov Exponents and Chaos. 25. Systems with Chaotic Dynamics -- VIII. On the History of Mechanics. 26. Emergence of Occidental Physics in the Seventeenth Century.
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Holdings
Item type Current library Call number Status Date due Barcode Item holds
Books Books Learning Resource Centre 531 GRE (Browse shelf(Opens below)) Available 8031
Total holds: 0

Includes bibliographical references and index.

I. Newtonian Mechanics in Moving Coordinate Systems. 1. Newton's Equations in a Rotating Coordinate System. 2. Free Fall on the Rotating Earth. 3. Foucault's Pendulum -- II. Mechanics of Particle Systems. 4. Degrees of Freedom. 5. Center of Gravity. 6. Mechanical Fundamental Quantities of Systems of Mass Points -- III. Vibrating Systems. 7. Vibrations of Coupled Mass Points. 8. The Vibrating String. 9. Fourier Series. 10. The Vibrating Membrane -- IV. Mechanics of Rigid Bodies. 11. Rotation About a Fixed Axis. 12. Rotation About a Point. 13. Theory of the Top -- V. Lagrange Equations. 14. Generalized Coordinates. 15. D'Alembert Principle and Derivation of the Lagrange Equations. 16. Lagrange Equation for Nonholonomic Constraints. 17. Special Problems -- VI. Hamiltonian Theory. 18. Hamilton's Equations. 19. Canonical Transformations. 20. Hamilton-Jacobi Theory -- VII. Nonlinear Dynamics. 21. Dynamical Systems. 22. Stability of Time-Dependent Paths.

23. Bifurcations. 24. Lyapunov Exponents and Chaos. 25. Systems with Chaotic Dynamics -- VIII. On the History of Mechanics. 26. Emergence of Occidental Physics in the Seventeenth Century.

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