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Artikel-Nr:
9789810210472
Veröffentl:
1992
Einband:
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Erscheinungsdatum:
08.08.1992
Seiten:
200
Autor:
Andrew M Rockett
Gewicht:
450 g
Format:
235x157x15 mm
Sprache:
Englisch
Beschreibung:
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.
Introduction; the law of best approximation; periodic continued fractions; applications; metrical theory; applications to metrical diophantine approximation.