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 the same title. Besides new and simpler proofs for many of the standard topics, numerous numerical examples and applications are included (the continued fraction of e, Ostrowski representations and t-expansions, period lengths of quadratic surds, the general Pell's equation, homogeneous and inhomogeneous diophantine approximation, Hall's theorem, the Lagrange and Markov spectra, asymmetric approximation, etc). Suitable for upper level undergraduate and beginning graduate students, the presentation is self-contained and the metrical results are developed as strong laws of large numbers.
Reviews
"There are just a few, mostly aged books on continued fractions available. This one promises to have an enriching and stimulating effect on the way the subject presents itself to students and professional mathematicians alike." Ch. Baxa, Wien Monatshefte fur Mathematik, 1993



Book Information
ISBN 9789810210472
Author Andrew M Rockett
Format Hardback
Page Count 196
Imprint World Scientific Publishing Co Pte Ltd
Publisher World Scientific Publishing Co Pte Ltd