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Differential and Difference Equations through Computer Experiments

Name: Differential and Difference Equations through Computer Experiments
Brand: Springer-Verlag New York Inc.
SKU: 01429205
Price: 20534 HUF
Availability: InStock
Author: Hüseyin Kocak
ISBN: 9781468402735

With Diskettes Containing PHASER: An Animator/Simulator for Dynamical Systems for IBM Personal Computers. Book w. online files/update

Hüseyin Kocak

Language

English

Book Paperback

Libristo code: 01429205

Publishers Springer-Verlag New York Inc., February 2012

This is a somewhat unusual book with a dual purpose. First, it is a manual to help readers learn how... Full description

Libristo code: 01429205

137 b

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This is a somewhat unusual book with a dual purpose. First, it is a manual to help readers learn how to use PRASER, the program on the accompanying diskette for mM personal computers. Second, it is an illustrated guide to the wonderful world of experimental and theoretical dynamics, one which presents dozens of concrete examples ranging from the most rudimentary, appropriate for the beginning student, to the highly complex, suitable for the research mathematician. Before indicating what PRASER does and how it works, let me describe how it came a.bout. During the past decade the field of differential and difference equations has witnessed a remarkable explo sion of knowledge, not only in theory but also in applications to discip lines as diverse as biology and fluid mechanics. Computers have played a crucial role in this process by making possible detailed analyses of specific systems. In this regard, one need only mention the work of Lorenz on strange attractors and the discoveries of Feigenbaum on the bifurcations of interval maps.