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Field name	Details
Dewey Class	515.625
Dewey Class	515.75
Title	Nonlinear Difference Equations ([EBook] :) : Theory with Applications to Social Science Models / / by Hassan Sedaghat.
Author	Sedaghat, Hassan
Other name(s)	SpringerLink (Online service)
Publication	Dordrecht : : Springer Netherlands : : Imprint: Springer, , 2003.
Physical Details	XV, 388 p. : online resource.
Series	Mathematical modelling : theory and applications 1386-2960 ; ; 15
ISBN	9789401704175
Summary Note	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.:
Contents note	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.
System details note	Online access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users)
Internet Site	http://dx.doi.org/10.1007/978-94-017-0417-5
Links to Related Works	Subject References: Difference and Functional Equations . Difference equations . Economic theory . Economic Theory/Quantitative Economics/Mathematical Methods . Functional equations . Global Analysis and Analysis on Manifolds . Global analysis (Mathematics) . Manifolds (Mathematics) . Mathematics . Microeconomics . Social sciences . Social Sciences, general . Authors: Sedaghat, Hassan . Corporate Authors: SpringerLink (Online service) . Series: Mathematical modelling : theory and applications . Classification: 515.625 . 515.75 .

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Nonlinear Difference Equations: Theory with Applications to Social Science Models /

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