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Over and Over Again

Name: Over and Over Again
Brand: Mathematical Association of America
SKU: 02049922
Price: 41.74 EUR
Availability: InStock
Author: Gengzhe ChangThomas W. Sederberg
ISBN: 9780883856413

Gengzhe ChangThomas W. Sederberg

Language

English

Book Paperback

Libristo code: 02049922

Publishers Mathematical Association of America, April 1998

Iterations, that is transformations that are applied to objects over and over again, are the subject... Full description

Libristo code: 02049922

101 b

41.74 €

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Iterations, that is transformations that are applied to objects over and over again, are the subject of this book. Three types of iteration are considered. The first, smoothing, is the process by which geometrical shapes can be transformed into standard types. Functional iteration is a way of describing the phenomenon of chaos. Finally, iterations involving curves and surfaces play an important role in computer aided design and graphics. These themes are explored and developed with no more background required than high school mathematics and a little calculus. Several basic strategies are highlighted which unlock solutions to problems involving iteration, and these are then applied to solve problems drawn from International Mathematical Olympiads.