Continued Fractions
-58%
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Continued Fractions

SKU: 9789812774682

Original price was: $59.00.Current price is: $24.99.

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Additional information

Full Title

Continued Fractions
Author(s)

Hensley Doug
Edition
ISBN

9789812774682, 9789812564771
Publisher

World Scientific
Format

PDF and EPUB

Description

The Euclidean algorithm is one of the oldest in mathematics, while the study of continued fractions as tools of approximation goes back at least to Euler and Legendre. While our understanding of continued fractions and related methods for simultaneous diophantine approximation has burgeoned over the course of the past decade and more, many of the results have not been brought together in book form. Continued fractions have been studied from the perspective of number theory, complex analysis, ergodic theory, dynamic processes, analysis of algorithms, and even theoretical physics, which has further complicated the situation.This book places special emphasis on continued fraction Cantor sets and the Hausdorff dimension, algorithms and analysis of algorithms, and multi-dimensional algorithms for simultaneous diophantine approximation. Extensive, attractive computer-generated graphics are presented, and the underlying algorithms are discussed and made available.

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Continued Fractions
-70%
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Continued Fractions

SKU: 9789813103412

Original price was: $31.00.Current price is: $9.30.

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Additional information

Full Title

Continued Fractions
Author(s)

Andrew M Rockett, Peter Sz??sz
Edition
ISBN

9789813103412, 9789810210526, 9789814439787
Publisher

WSPC
Format

PDF and EPUB

Description

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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