Continued Fractions

The branch of continued fractions is one of the oldest in mathematics. While it has burgeoned over the course of the past decade and more, many of these results have not been brought together in book form. Continued fractions have been seen from the perspective of number theory, complex analysis, ergodic theory, dynamic processes, analysis of algorithms, and even theoretical physics, which has further complicated the situation. This book places special emphasis on continued fraction Cantor sets and the Hausdorff dimension, algorithms and analysis of algorithms, and multi-dimensional algorithms for continued fractions. Extensive, attractive computer-generated graphics are presented, and the underlying algorithms are discussed and made available.