Description
Nonlinear Difference Equations, Softcover reprint of hardcover 1st ed. 2003
Theory with Applications to Social Science Models
Mathematical Modelling: Theory and Applications Series, Vol. 15
Author: Sedaghat H.
Language: EnglishSubjects for Nonlinear Difference Equations:
Nonlinear Difference Equations
Publication date: 12-2010
388 p. · 16x24 cm · Paperback
Publication date: 12-2010
388 p. · 16x24 cm · Paperback
Approximative price 105.49 €
Subject to availability at the publisher.
Add to cart the book of Sedaghat H.
Nonlinear difference equations
Publication date: 01-2003
388 p. · 15.6x23.4 cm · Hardback
Publication date: 01-2003
388 p. · 15.6x23.4 cm · Hardback
Description
/li>Contents
/li>
It is generally acknowledged that deterministic formulations of dy namical phenomena in the social sciences need to be treated differently from similar formulations in the natural sciences. Social science phe nomena typically defy precise measurements or data collection that are comparable in accuracy and detail to those in the natural sciences. Con sequently, a deterministic model is rarely expected to yield a precise description of the actual phenomenon being modelled. Nevertheless, as may be inferred from a study of the models discussed in this book, the qualitative analysis of deterministic models has an important role to play in understanding the fundamental mechanisms behind social sci ence phenomena. The reach of such analysis extends far beyond tech nical clarifications of classical theories that were generally expressed in imprecise literary prose. The inherent lack of precise knowledge in the social sciences is a fun damental trait that must be distinguished from "uncertainty. " For in stance, in mathematically modelling the stock market, uncertainty is a prime and indispensable component of a model. Indeed, in the stock market, the rules are specifically designed to make prediction impossible or at least very difficult. On the other hand, understanding concepts such as the "business cycle" involves economic and social mechanisms that are very different from the rules of the stock market. Here, far from seeking unpredictability, the intention of the modeller is a scientific one, i. e.
I Theory.- 1. Preliminaries.- 2. Dynamics on the Real Line.- 3. Vector Difference Equations.- 4. Higher Order Scalar Difference Equations.- II Applications to Social Science Models.- 5. Chaos and Stability in Some Models.- 6. Additional Models.
© 2024 LAVOISIER S.A.S.