This is documentation for Mathematica 6, which was
based on an earlier version of the Wolfram Language.
 Continued Fractions & Rational Approximations Continued fractions can be thought of as an alternative to digit sequences for representing numbers, based on division rather than multiplication by a base. Studied occasionally for at least half a millennium, continued fractions have become increasingly important through their applications to dynamical systems theory and number theoretic algorithms. Mathematica has highly efficient original algorithms for finding large numbers of terms in continued fractions, as well as for handling exact continued fractions for quadratic irrationals. ContinuedFraction — continued fraction expansion FromContinuedFraction — construct exact or inexact numbers from continued fractions      Convergents — a list of successive convergents of a continued fraction Rationalize — find rational approximations      QuadraticIrrationalQ — test for a quadratic irrational (repeating continued fraction) TUTORIALS Integer and Number Theoretic Functions Numerical Functions MORE ABOUT Number Recognition Number Theory Function Approximations Package RELATED LINKS Demonstrations related to Continued Fractions & Rational Approximations (The Wolfram Demonstrations Project)