Fibonacci Numbers

by Nikolai N. Vorob'ev

Since their discovery hundreds of years ago, people have been fascinated by the wondrous properties of Fibonacci numbers. Being of mathematical significance in their own right, Fibonacci numbers have had an impact on areas like art and architecture, and their traces can be found in nature and even the behavior of the stock market. Starting with the basic properties of Fibonacci numbers, the present book explores their relevance in number theory, the theory of continued fractions, geometry and approximation theory. Rather than giving a complete account of the subject, a few chosen examples are treated exhaustively. They not only reveal the bearing of Fibonacci numbers on mathematics, but also provide very readable marvels of mathematical reasoning. This book is the translation of the 6th Russian edition (the first edition appeared in the early fifties and became a standard source of information on the subject).

176 pages, Paperback

First published June 1, 1951

About the author

Nikolaj Nikolaevič Vorob̉ev
(Vorobiev, Vorobev, Vorob'ev)

Reviews

[Frank]

Wanting to do some mathematics, but not wanting to strain myself overly, I pulled this Soviet era text from my dusty, electronic bookshelf. In a way it had been sitting there since I'd first become acquainted with the Fibonacci Numbers about 50 years ago.

It scratched the itch.

[Waffle's Crazy Peanut]

It had a nice start and a wonderful ending. But, along the way, it was mathematically rigorous - proving theorems, stating lemmas, stuff like that...