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Continued Fractions by Rockett a M

Continued Fractions

by Rockett a M
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Book cover type: Paperback
  • ISBN13: 9789810210526
  • Binding: Paperback
  • Subject: N/A
  • Publisher: World Scientific Publishing Company
  • Publisher Imprint: World Scientific Publishing Company
  • Publication Date:
  • Pages: 196
  • Original Price: USD 39.0
  • Language: English
  • Edition: N/A
  • Item Weight: 277 grams
  • BISAC Subject(s): Algebra / General

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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