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The Genesis of Simulation in Dynamics : Pursuing the Fermi-Pasta-Ulam Problem - Thomas P. Weissert

The Genesis of Simulation in Dynamics

Pursuing the Fermi-Pasta-Ulam Problem

Hardcover Published: 10th October 1997
ISBN: 9780387982366
Number Of Pages: 176

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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.

Preface
List of Figures
Introductionp. 1
Historyp. 7
The FPU Model and Simulation: "A Little Discovery"p. 9
The FPU Research Program: Echoes on a Stringp. 31
The Kolmogorov-Arnold-Moser Theorem: "Here Comes the Surprise"p. 51
Research Threads Come Together: Harmonic Convergencep. 83
Philosophyp. 103
Steps to an Epistemology of Simulationp. 105
Hamiltonian Dynamics: Language of Abstractionp. 139
Glossaryp. 155
Referencesp. 157
Indexp. 167
Table of Contents provided by Blackwell. All Rights Reserved.

ISBN: 9780387982366
ISBN-10: 0387982361
Audience: Professional
Format: Hardcover
Language: English
Number Of Pages: 176
Published: 10th October 1997
Publisher: SPRINGER VERLAG GMBH
Country of Publication: US
Dimensions (cm): 23.39 x 15.6  x 1.27
Weight (kg): 0.45