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The Genesis of Simulation in Dynamics
Contributor(s): Weissert, Thomas P. (Author)
ISBN: 0387982361     ISBN-13: 9780387982366
Publisher: Springer
OUR PRICE:   $104.49  
Product Type: Hardcover - Other Formats
Published: October 1997
Qty:
Annotation: This book introduces some aspects of the development of the modern theory of dynamics and simulation to a wide audience of scientifically literate readers and shows how it developed alongside the modern electronic computer. Unlike some other 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 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. In following these developments, one can see the initial development of many of the new and now standard techniques of nonlinear modeling and numerical simulation. No other text focuses so tightly and covers so completely one specific, pernicious problem at the heart of dynamics.
Additional Information
BISAC Categories:
- Science | Mechanics - Dynamics
- Science | History
- Computers
Dewey: 531.110
LCCN: 97009272
Physical Information: 0.5" H x 6.14" W x 9.21" (1.00 lbs) 176 pages
 
Descriptions, Reviews, Etc.
Publisher Description:
We hear a lot about dynamical systems theory these days-"chaos dy- namics" is the popular idiom-but very little of this abstract discipline is taught in undergraduate or even in graduate school, unless that happens to be one's own field. People may have heard some of the terms, but they may not understand what a dynamicist does. Just what does a dynamicist do? Although I've been through the training, I spend much more time talk- ing and thinking about dynamics than actually doing it, which is a circum- stance that affords me an interesting perspective. Some time after defending my dissertation, when I stopped back by my alma mater on a visit through Boulder, I ran into one of my advisors, a practicing dynamicist, and he was excited to show me his new workstation and its resident software. Hope- fully, by relating what I experienced then, I may in part help to answer my opening question. He sat down in front of a very large screen, at least 19 inches across, so closely, that it filled his field of view completely. At his fingertips were the usual mouse and keyboard. He fired up the software and chose a model; I think we were out to explore "just the standard map. " As the program began, the screen remained black, except for a small blinking cursor at the middle.