Fibonacci Numbers

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Springer Science & Business Media, Oct 23, 2002 - Mathematics - 178 pages
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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).


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Page 2 - ... parts, the divisions being dotted on the top and bottom lines only. These dots are then united by lines from top to bottom, the distance of one space out of perpendicular. Thus, the first dot on the top line is united to the second on the bottom line, the second on the top to the third on the bottom, the third to the fourth, the fourth to the fifth, and so on, — the whole united dots forming oblique parallels. The principle of this system is that the top and bottom lines being each subdivided...

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