Traditionally a subject of number theory, continued fractions appear in dynamical systems, algebraic geometry, topology, and even celestial mechanics. The rise
This book introduces a new geometric vision of continued fractions. It covers several applications to questions related to such areas as Diophantine approximati
The history of continued fractions is certainly one of the longest among those of mathematical concepts, since it begins with Euclid's algorithm for the great e
The objective of this book is to provide tools for solving problems which involve cubic number fields. Many such problems can be considered geometrically; both