Over and Over Again (New Mathematical Library, No. 39)

Chang, Gengzhe; Sederberg, Thomas W.

ISBN 10: 0883856417 / ISBN 13: 9780883856413

Published by The Mathematical Association of America, Washington, D. C., 1997

About this Item

First printing, trade paperback, has a very slight lean to binding, a touch of bowing to book, very slight bumps to spine ends and cover corners, a touch of shelfwear to cover edges, and some very faint rubbing, otherwise a solid, tight VG+ copy.

Seller Inventory # 98003

Bibliographic Details

• Title: Over and Over Again (New Mathematical Library, No. 39)
• Publisher: The Mathematical Association of America, Washington, D. C.
• Publication Date: 1997
• Language: English
• ISBN 10: 0883856417
• ISBN 13: 9780883856413
• Binding: Trade Paperback
• Edition: 1st Printing.
• Condition: Very Good+
• Seller catalogs:
  • Mathematics

About this title

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.

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.