lagrangian mechanics mechanics linear oscillators Hamiltonian mechanics special relativity
Genre
Textbooks/Оқулықтар/Учебная литература
Summary
An advanced undergraduate-level textbook introducing the key analytical techniques of classical mechanics, first published in 1999
Contents
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