The Genesis of Simulation in Dynamics

I: History. - 1. The FPU Model and Simulation: A Little Discovery. - 2. The FPU Research Program: Echoes on a String. - 3. The KolmogorovArnoldMoser Theorem: Here Comes the Surprise. - 4. Research Threads Come Together: Harmonic Convergence. - II: Philosophy. - 5. Steps to an Epistemology of Simulation. - Append. - A. Hamiltonian Dynamics: Language of Abstraction. - A. 1. Topology and Phase-Space Trajectories. - A. 2. Canonical Transformations. - A. 3. Transforming the Unperturbed String. - A. 4. Cyclic Coordinates. - A. 5. Liouville Integrability. - A. 6. The Action-Angle Variables. - A. 7. Dynamics on a Torus. - A. 8. Commensurability: Two Types of Motion. - A. 9. Digital Representation. - A. 10. Physical Reality and the Continuum. - A. 11. Perturbing the String. - References. Language: English