Over and Over Again (Anneli Lax New Mathematical Library, Series Number 38) - Softcover

Chang, Gengzhe; Sederberg, Thomas W.

Softcover

ISBN 10: 0883856417 ISBN 13: 9780883856413

Publisher: The Mathematical Association of America, 1998

Synopsis

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.

About this title

Book Description:

Iterations are the subject of this book. Three types are considered. Smoothing is the process by which geometrical shapes can be transformed into standard types. Functional iteration is a way of describing chaos. Finally, iterations involving curves and surfaces play an important role in computer graphics.

About this edition

• Publisher: The Mathematical Association of America
• Publication date: 1998
• ISBN 10: 0883856417
• ISBN 13: 9780883856413
• Binding: Paperback
• Edition number: 1
• Number of pages: 324