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portada continued fractions
Type
Physical Book
Year
1992
Language
English
Pages
196
Format
Paperback
Dimensions
21.1x15x1 cm
Weight
0.28 kg.
ISBN
9810210523
ISBN13
9789810210526
Categories

continued fractions

Andrew M. Rockett (Author) · Peter Szusz (Author) · World Scientific Publishing Company · Paperback

continued fractions - Rockett, Andrew M. ; Szusz, Peter

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Synopsis "continued fractions"

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.

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