Cantitate/Preț
Produs

The Genesis of Simulation in Dynamics: Pursuing the Fermi-Pasta-Ulam Problem

Autor Thomas P. Weissert
en Limba Engleză Paperback – 10 oct 1997
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.
Citește tot Restrânge

Toate formatele și edițiile

Toate formatele și edițiile Preț Express
Paperback (1) 76162 lei  6-8 săpt.
  Springer – 10 oct 1997 76162 lei  6-8 săpt.
Hardback (1) 62874 lei  6-8 săpt.
  Springer – 10 oct 1997 62874 lei  6-8 săpt.

Preț: 76162 lei

Preț vechi: 92880 lei
-18% Nou

Puncte Express: 1142

Preț estimativ în valută:
14574 15333$ 12098£

Carte tipărită la comandă

Livrare economică 16-30 ianuarie 25

Preluare comenzi: 021 569.72.76

Specificații

ISBN-13: 9780387982373
ISBN-10: 038798237X
Pagini: 176
Ilustrații: XIII, 176 p.
Dimensiuni: 155 x 235 x 14 mm
Greutate: 0.31 kg
Ediția:Softcover reprint of the original 1st ed. 1997
Editura: Springer
Colecția Springer
Locul publicării:New York, NY, United States

Public țintă

Professional/practitioner

Cuprins

I: History.- 1. The FPU Model and Simulation: “A Little Discovery”.- 2. The FPU Research Program: Echoes on a String.- 3. The Kolmogorov—Arnold—Moser Theorem: “Here Comes the Surprise”.- 4. Research Threads Come Together: Harmonic Convergence.- II: Philosophy.- 5. Steps to an Epistemology of Simulation.- Append.- A. Hamiltonian Dynamics: Language of Abstraction.- A.1. Topology and Phase-Space Trajectories.- A.2. Canonical Transformations.- A.3. Transforming the Unperturbed String.- A.4. Cyclic Coordinates.- A.5. Liouville Integrability.- A.6. The Action-Angle Variables.- A.7. Dynamics on a Torus.- A.8. Commensurability: Two Types of Motion.- A.9. Digital Representation.- A.10.Physical Reality and the Continuum.- A.11.Perturbing the String.- References.

Caracteristici

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.