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Books > Science & Mathematics > Mathematics > Calculus & mathematical analysis > Differential equations
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Difference Equations and Their Applications (Paperback, Softcover reprint of the original 1st ed. 1993)
Loot Price: R2,817
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Difference Equations and Their Applications (Paperback, Softcover reprint of the original 1st ed. 1993)
Series: Mathematics and Its Applications, 250
Expected to ship within 10 - 15 working days
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The theory of difference equations is now enjoying a period of
Renaissance. Witness the large number of papers in which problems,
having at first sight no common features, are reduced to the
investigation of subsequent iterations of the maps f* IR. m ~ IR.
m, m > 0, or (which is, in fact, the same) to difference
equations The world of difference equations, which has been almost
hidden up to now, begins to open in all its richness. Those
experts, who usually use differential equations and, in fact,
believe in their universality, are now discovering a completely new
approach which re sembles the theory of ordinary differential
equations only slightly. Difference equations, which reflect one of
the essential properties of the real world-its
discreteness-rightful ly occupy a worthy place in mathematics and
its applications. The aim of the present book is to acquaint the
reader with some recently discovered and (at first sight) unusual
properties of solutions for nonlinear difference equations. These
properties enable us to use difference equations in order to model
complicated os cillating processes (this can often be done in those
cases when it is difficult to apply ordinary differential
equations). Difference equations are also a useful tool of syn
ergetics- an emerging science concerned with the study of ordered
structures. The application of these equations opens up new
approaches in solving one of the central problems of modern
science-the problem of turbulence.
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