An essay on continued fractions

  title={An essay on continued fractions},
  journal={Mathematical systems theory},
The paper translated here, "De Fractionibus Continuis Dissertatio", represents Euler's first published work on the theory of continued fractions, a subject to which he often returned during his long career. The emphasis is on basic identities and analytic theory, culminating in the development of the continued fraction expansion for e. A discussion of the periodic continued fractions associated with quadratic irrationalities is also included, but applications to number theory come in later… CONTINUE READING

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Publications referenced by this paper.

Number Theory: An Approach Through History, Boston: Birkh~user

  • Andre Well
  • 1984
1 Excerpt

Geometry of the Algebraic Riccati Equation

  • M. A. Shayman
  • Parts I and II," SlAM J. Control and Opt.,
  • 1983

Geometry of the Algebraic Riccati Equation . Parts I and II

  • M. E. Van Valkenburg
  • Introduction to Modern Network Synthesis
  • 1983

Leonhard Euler und das Krnigsberger B~ckenproblem--Latein als Sprache der Mathematik im 18. Jahrhundert, Informationen zum Altsprachlichen Unterricht

  • Harald Wimmer
  • Jahrgang,
  • 1981
1 Excerpt

Continued Fractions - - A nalytic Theory and Applications, Reading: Addison-Wesley, 1980

  • William B. Jones, W. J. Thron
  • 1980

On partial realizations, transfer functions, and canonical forms

  • R. E. Kalman
  • Acta Polytechnica Scandinavica, MA 31,
  • 1979

Introduction to Modern Network Synthesis

  • M. E. Van Valkenburg
  • New York: Wiley,
  • 1960

Continued Fractions

  • H. S. Wall
  • New York: Van Nostrand,
  • 1948

A Treatise on the Theory of Bessel Functions, Second Edition

  • G. N. Watson
  • 1944

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