Vajda S. Fibonacci and Lucas Numbers and the Golden Section: Theory and Applications

Ellis Horwood, 1989. — 200 p.Background.
Relationship Fibonacci numbers and the Golden Section.
Fibonacci Series.
Divisibility properties.
Congruences and uniformity.
Continued fractions and convergents.
Fibonacci representation.
Search and games.
Hyperbolic functions and Fibonacci numbers.
Meta-Fibonacci sequences (a letter from B. W. Conolly).
The Golden Section in the plane.
The Golden Section in three-dimensional space.
Appendix.
List of formulae.Table of Fn and Ln and their prime factors.