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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