Intended for a broad audience of scientifically literate readers, this book show how the modern theory of dynamics and simulation developed alongside the modern electronic computer. It shows how many of the new and now standard techniques of nonlinear modeling and numerical simulation arose in response to specific problems. No other text focuses so tightly and covers so completely one specific, pernicious problem at the heart of dynamics.
Discusses such problems as the nonlinear oscillator simulation carried out by Fermi, Pasta, and Ulam at Los Alamos in the early 1950s; the mathematical rediscovery of solitons in the early 1960s; and the general problems of computability discussed by Kolmorogov, Arnold and Moser, by Ford, and by many others.
Thomas P. Weissert
Mathematica chaos dynamical systems dynamics epistemology modeling philosophy soliton topology