Download E-books The Genesis of Simulation in Dynamics: Pursuing the Fermi-Pasta-Ulam Problem PDF

By Thomas P. Weissert

This booklet introduces a few points of the advance of the trendy concept of dynamics and simulation to a large viewers of scientifically literate readers. in contrast to another basic texts on chaos conception and dynamical platforms idea, this e-book follows the paintings on a particular challenge on the very starting of the fashionable period of dynamics, from its inception in 1954 in the course of the early Nineteen Seventies. It discusses such difficulties because the nonlinear oscillator simulation conducted through Fermi, Pasta and Ulam at Los Alamos within the Nineteen Forties, the seminal discoveries via Lorentz at MIT within the early Nineteen Fifties, the mathematical rediscovery of solitons within the past due Fifties and the final difficulties of computability mentioned by means of Kolmorogov, Arnold and Moser, via Ford, and by means of many others. In following those advancements, you can see the preliminary improvement of some of the new and now average thoughts of nonlinear modeling and numerical simulation. No different textual content focuses so tightly and covers so thoroughly one particular, pernicious challenge on the center of dynamics.

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