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Continued Fractions

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Title: Continued Fractions
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.
Authors: Doug Hensley
Resource Type: eBook.
Subjects: Continued fractions, Series
Categories: MATHEMATICS / Arithmetic
Database: eBook Collection (EBSCOhost)
FullText Links:
  – Type: ebook-pdf
Text:
  Availability: 0
Header DbId: nlebk
DbLabel: eBook Collection (EBSCOhost)
An: 210849
RelevancyScore: 1005
AccessLevel: 6
PubType: eBook
PubTypeId: ebook
PreciseRelevancyScore: 1004.98577880859
IllustrationInfo
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  Label: Title
  Group: Ti
  Data: Continued Fractions
– Name: Abstract
  Label: Description
  Group: Ab
  Data: 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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  Data: <searchLink fieldCode="AR" term="%22Doug+Hensley%22">Doug Hensley</searchLink>
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RecordInfo BibRecord:
  BibEntity:
    Classifications:
      – Code: 515.243
        Scheme: ddc
        Type: prePub
    Languages:
      – Code: eng
        Text: English
    Subjects:
      – SubjectFull: Continued fractions
        Type: general
      – SubjectFull: Series
        Type: general
    Titles:
      – TitleFull: Continued Fractions
        Type: main
  BibRelationships:
    HasContributorRelationships:
      – PersonEntity:
          Name:
            NameFull: Doug Hensley
      – PersonEntity:
          Name:
            NameFull: Doug Hensley
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      – BibEntity:
          Dates:
            – D: 01
              M: 01
              Type: published
              Y: 2006
            – D: 04
              M: 02
              Type: profile
              Y: 2014
          Identifiers:
            – Type: isbn-print
              Value: 9789812564771
            – Type: isbn-electronic
              Value: 9789812774682
          Titles:
            – TitleFull: Continued Fractions
              Type: main
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