Fibonacci Numbers (Dover Books on Mathematics)

Fibonacci numbers date back to an 800-year-old problem concerning the number of offspring born in a single year to a pair of rabbits. This book offers the solution and explores the occurrence of Fibonacci numbers in number theory | continued fractions | and geometry. A discussion of the golden section rectangle | in which the lengths of the sides can be expressed as a ration of two successive Fibonacci numbers | draws upon attempts by ancient and medieval thinkers to base aesthetic and philosophical principles on the beauty of these figures. Recreational readers as well as students and teachers will appreciate this light and entertaining treatment of a classic puzzle.