Philosophy and the Foundations of Dynamics Book

1. Introduction; 2. The prehistory of classical dynamics; 3. The astronomical revolution; 4. Precursors to Newtonian dynamics; 5. The Newtonian synthesis; 6. Philosophical aspects of the Newtonian synthesis; 7. The history of statics; 8. The development of dynamics after Newton; 9. The 'Newtonian' approach after Newton; 10. From virtual work to Lagrange's equation; 11. Extremal principles; 12. Some philosophical reflections on explanation and theory; 13. Conservation principles; 14. Hamilton's equations; 15. Canonical transformations, optical analogies and algebraic structures; 16. The search for new foundations; 17. New directions in the applications of dynamics; 18. Spacetime formulations of Newtonian dynamics; 19. Formalizations: mass and force; 20. Relationist dynamics; 21. Modes of explanation; 22. Retrospective and conclusions.