by M. J. Jamieson
This article originally appeared in:
American Mathematical Monthly
January, 1999
Subject classification(s):
Algebra and Number Theory | Number Theory | Calculus | Single Variable Calculus | LimitsApplicable Course(s):
4.3 Number TheoryUsing a result on periodic continued fractions, the author presents a rational function method of approximating square roots that is faster than Newton's method.
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Capsule Course Topic(s):
Number Theory | Continued Fractions
Number Theory | Number Sequences