Numerische Mathematik

, Volume 4, Issue 1, pp 85–95 | Cite as

On continued fraction expansions for binomial quadratic surds

  • Evelyn Frank
Article
Received:

Keywords

Mathematical Method Continue Fraction Expansion Quadratic Surd 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.
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References

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    Kogbetliantz, E. G.: Generation of elementary functions. Mathematical Methods for Digital Computers. New York: Wiley 1960.Google Scholar
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    Lagrange, J. L.: Additions au mémoire sur la résolution des équations numériques. Euvres, vol.II, pp. 581–652, 1868.Google Scholar
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    Mikusiński, J.: Sur la méthode d'approximation deNewton. Ann. Polon. Math.1, 184–194 (1954).Google Scholar
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    Müller, M.: Über die Approximation reeller Zahlen durch die Näherungsbrüche ihres regelmäßigen Kettenbrüches. Arch. Math.6, 253–258 (1955).Google Scholar
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    Patz, W.: Tafel der regelmäßigen Kettenbrüche und ihrer vollständigen Quotienten für die Quadratwurzeln aus den natürlichen Zahlen von 1–10000. Berlin: Akademie-Verlag 1955.Google Scholar
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    Perron, O.: Die Lehre von den Kettenbrüchen, Vol. I. Stuttgart: Teubner 1954.Google Scholar
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    Serret, J. A.: Cours d'Algebre Superieure, vol. 1. Paris: Gauthiers-Villars 1885.Google Scholar
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    Sharma, A.: OnNewton's method of approximation. Ann. Polon. Math.6, 295–300 (1959).Google Scholar

Copyright information

© Springer-Verlag 1962

Authors and Affiliations

  • Evelyn Frank
    • 1
    • 2
  1. 1.University of WisconsinMadison 6
  2. 2.University of IllinoisChicago

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