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From fixed points to continued fractions

Published online by Cambridge University Press:  01 August 2016

Tony Crilly
Tony Crilly*
Affiliation:
Middlesex Polytechnic, Trent Park, Barnet, Hertfordshire EN4 0PT
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Extract

Here are two fascinating topics in mathematics. The expansion of a number as a continued fraction, a heritage of the “old-fashioned” algebra curriculum, is happily enjoying a revival at present. The idea of a function having fixed points is so diffuse as to find applications in the most unexpected parts of mathematics and we shall see how it even has implications for continued fractions.

Type
Research Article
Information
The Mathematical Gazette , Volume 73 , Issue 463 , March 1989 , pp. 16 - 21
Copyright
Copyright © The Mathematical Association 1989

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