The Genesis of Simulation in Dynamics

Pursuing the Fermi-Pasta-Ulam Problem

By: Thomas P. Weissert

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Hardcover | 4 November 1997

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196 Pages

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24.77 x 15.88 x 1.91

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An introduction to certain aspects of developments in the modern theory of dynamics and simulation for a wide audience of scientifically literate readers. Unlike general texts on chaos theory and dynamical systems theory, this book follows the work on a specific problem at the very beginning of the modern era of dynamics, from its inception in 1954 through the early 1970s. It discusses such problems as the nonlinear oscillator simulation, the seminal discoveries at MIT in the early 1950s, the mathematical rediscovery of solitons in the late 1950s and the general problems of computability. In following these developments, the initial development of many of the now standard techniques of nonlinear modelling and numerical simulation are seen. No other text focuses so tightly and covers so completely one specific, pernicious problem at the heart of dynamics.

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You Can Find This Book In

Non-Fiction Science Physics Classical Mathematics Dynamics & Statics Engineering & Technology Mechanical Engineering & Materials Materials Science Mechanics of Solids Dynamics & Vibration Mathematics Applied Mathematics

Computing & I.T.Computer Science Science in General History of Science

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Published: 4th November 1997

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Preface
List of Figures
Introduction	p. 1
History	p. 7
The FPU Model and Simulation: "A Little Discovery"	p. 9
The FPU Research Program: Echoes on a String	p. 31
The Kolmogorov-Arnold-Moser Theorem: "Here Comes the Surprise"	p. 51
Research Threads Come Together: Harmonic Convergence	p. 83
Philosophy	p. 103
Steps to an Epistemology of Simulation	p. 105
Hamiltonian Dynamics: Language of Abstraction	p. 139
Glossary	p. 155
References	p. 157
Index	p. 167
Table of Contents provided by Blackwell. All Rights Reserved.

The Genesis of Simulation in Dynamics

Pursuing the Fermi-Pasta-Ulam Problem

At a Glance

Hardcover

Shipping

How to return your order

Defective items

You Can Find This Book In

Other Editions and Formats

Paperback

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