Mathematical Equations - General & Miscellaneous, Number Theory

Difference Equations and Inequalities: Theory, Methods, and Applications

Name: Difference Equations and Inequalities: Theory, Methods, and Applications
Author: Ravi P. Agarwal
ISBN: 9780824790073

by Ravi P. Agarwal, Agarwal P. Agarwal

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Overview

A study of difference equations and inequalities. This second edition offers real-world examples and uses of difference equations in probability theory, queuing and statistical problems, stochastic time series, combinatorial analysis, number theory, geometry, electrical networks, quanta in radiation, genetics, economics, psychology, sociology, and other disciplines. It features 200 new problems, 400 additional references, and a new chapter on the qualitative properties of solutions of neutral difference equations.

Synopsis

Acta Scientifica Mathematica

This excellent monograph combines all aspects of the theory and methods of solutions of difference equations and their applications.

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Editorials

Mathematical Reviews

Abundant praise for the First Edition: ...a virtual encyclopedia of results concerning difference equations....very well written and easy to read....numerous interesting exercises...[that] do a very good job of both complementing and supplementing the material in the book. ...a very good book to have in one's own personal library.

Acta Scientifica Mathematica

This excellent monograph combines all aspects of the theory and methods of solutions of difference equations and their applications.

Indian Journal of Physics

The exhaustive compilation and analytic representation of the various mathematical problems are indeed useful. ...essential for the enrichment of knowledge in mathematics, physics and statistics.

Booknews

In a self-contained monograph synthesizing some 400 recent publications, Agarwal (mathematics, National U. of Singapore) documents the revival of interest in difference equations in nearly every field that uses mathematics. They have been thought of as only discrete analogs of differential equations since the latter developed from them, but interest is rising now that computers are solving differential equations by using their approximate difference equation formulations. After some preliminaries, he surveys their use in linear initial value problems, miscellaneous different equations, difference inequalities, qualitative properties of solutions of difference systems and higher order difference equations, boundary value problems for linear and nonlinear systems, and other areas. To the 1992 edition he here adds a chapter on the qualitative properties of solutions of neutral difference equations. Annotation c. Book News, Inc., Portland, OR (booknews.com)