"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."
By:
Nikolai Vorob'Ev Edited by:
Ian N Sneddon Translated by:
Halina Moss Imprint: Dover Publications Inc. Country of Publication: United States Dimensions:
Height: 216mm,
Width: 136mm,
Spine: 6mm
Weight: 118g ISBN:9780486483863 ISBN 10: 048648386X Series:Dover Books on Mathema 1.4tics Pages: 80 Publication Date:14 September 2011 Audience:
General/trade
,
ELT Advanced
Format:Paperback Publisher's Status: Active
Foreword Introduction I. The Simplest Properties of Fibonacci Numbers II. Number-Theoretic Properties of Fibonacci Numbers III. Fibonacci Numbers and Continues Fractions IV. Fibonacci Numbers and Geometry V. Conclusion
Russian mathematician N. N. Vorob'ev (1925-95) was the author of numerous works for academic audiences.