Wow! eBook
Continued Fractions
Author(s): Andrew M Rockett (Author), Peter Szusz (Author)
- Publisher: World Scientific Publishing Company
- Publication Date: August 8, 1992
- Edition: First Edition
- Language: English
- Print length: 198 pages
- ISBN-10: 9789810210472
- ISBN-13: 9789810210472
Book Description
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.