Mathematician Fritz Schweiger, whose academic affiliation is not provided, provides an introduction to a field of research that has seen remarkable progress in
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
Uniting dozens of seemingly disparate results from different fields, this book combines concepts from mathematics and computer science to present the first inte
The Euclidean algorithm is one of the oldest in mathematics, while the study of continued fractions as tools of approximation goes back at least to Euler and Le