This monograph is intended to be a complete treatment of the metrical the ory of the (regular) continued fraction expansion and related representations of real

This monograph is intended to be a complete treatment of the metrical the ory of the (regular) continued fraction expansion and related representations of real

This book presents the arithmetic and metrical theory of regular continued fractions and is intended to be a modern version of A. Ya. Khintchine's classic of th

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

Traditionally a subject of number theory, continued fractions appear in dynamical systems, algebraic geometry, topology, and even celestial mechanics. The rise