Analytical Mechanics

An advanced undergraduate-level textbook introducing the key analytical techniques of classical mechanics.

Zusammenfassung
Analytical Mechanics, first published in 1999, provides a detailed introduction to the key analytical techniques of classical mechanics. The authors set out the fundamentals of Lagrangian and Hamiltonian mechanics and go on to cover such topics as planetary orbits, nonlinear dynamics, chaos, and special relativity. It is an ideal textbook for advanced undergraduate courses in classical mechanics.

Inhalt
1. Lagrangian mechanics; 2. Variational calculus and its application to mechanics; 3. Linear oscillators; 4. One dimensional systems: central forces and the Kepler problem; 5. Noether's theorem and Hamiltonian dynamics; 6. Theoretical mechanics: from canonical transformations to action-angle variables; 7. Rotating coordinate systems; 8. The dynamics of rigid bodies; 9. The theory of small vibrations; 10. Approximate solutions to non-analytic problems; 11. Chaotic dynamics; 12. Special relativity.

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