دانلود کتاب Over and Over Again

Name: Over and Over Again
Availability: InStock
Author: Gengzhe Chang
ISBN: 0883856417,9780883856413

by Gengzhe Chang, Thomas W. Sederberg

عنوان فارسی: دوباره و دوباره
ناشر: The Mathematical Association of America
سال: 1997
ویرایش: 1
زبان: انگلیسی
تعداد صفحه (نسخه چاپی - نسخه الکترونیکی): 324-324
شابک: 0883856417,9780883856413
نوع فایل: PDF دانلود نرم افزار مطالعه
حجم: 15.27 مگابایت

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جزییات کتاب

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.