A01=Andrew M Rockett
A01=Peter Szusz
Approximation
Author_Andrew M Rockett
Author_Peter Szusz
Best
Category=PBK
Diophantine
eq_isMigrated=1
eq_isMigrated=2
eq_nobargain
Gauss-Kuzmin
Inhomogeneous
Khintchine-Levy
Lagrange
Markov
Metrical
Spectrum
Product details
- ISBN 9789810210472
- Publication Date: 01 Aug 1992
- Publisher: World Scientific Publishing Co Pte Ltd
- Publication City/Country: SG
- Product Form: Hardback
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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.
