Review of An Introduction to Di erence Equations, Third Edition Author of Book: Saber Elaydi 546 pages, Springer, New $64.00, used $23.00 (Amazon) Reviewed by Adel El-Atawy Introduction: Di erence equations are meant to describe some property or phenomenon that change over time. In contrast to di erential equations, di erence equations deal with discrete time or sequential discrete free variables in general. Many problems are discrete by nature like population size over successive generations, machine state over several iterations, or a physical phenomenon in successive time instances or it can be used in an approximation of a continuous phenomenon for easier analysis and the possibility of using computer simulations, etc. Di erence equations can prove to be an extremely powerful (and sometimes the only) tool in handling many complex problems. We can nd it used frequently in stability, asymptotic, oscillation theories, and system control theory. In turn these elds a ect many other disciplines from biology and economy to physics and computer science. This book by Elaydi introduces the concept of di erence equations along with several tools, as well as many example applications. The book is intended as an introduction, and it does not require any
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