Continued fractions

Name: Continued fractions
ISBN: 9789810210472

Andrew Mansfield Rockett, Peter Szusz

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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.

Kategoriler:

Mathematics - Continued fractions

Yıl:

1992

Yayımcı:

World Scientific Publishing Company

Dil:

english

Sayfalar:

196

ISBN 10:

9810210477