Hostname: page-component-586b7cd67f-rdxmf Total loading time: 0 Render date: 2024-11-24T15:49:15.329Z Has data issue: false hasContentIssue false

Rational approximations: a basic approach

Published online by Cambridge University Press:  22 September 2016

G. M. Phillips*
Affiliation:
The Mathematical Institute, University of St. Andrews, St. Andrews, Scotland

Extract

Last year I ran 1147 miles. Early in that December I had checked my ‘running total’ and found that it had already passed 1000 miles. I pondered on what might be an appropriate figure to aim at and toyed with 1040 miles (20 miles per week), 1095 miles (three miles per day) and 1111 miles (easy to remember). Finally, the combined dementia of runner and mathematician resulted in the choice and achievement of 1147 miles, chosen to give the closest possible daily average to π miles. The quotient 1147/365 exceeds π by about 0-0009.

Type
Research Article
Copyright
Copyright © Mathematical Association 1983

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

1. Heath, T. L., The works of Archimedes, Cambridge University Press (1897).Google Scholar
2. Phillips, G. M., Archimedes the numerical analyst, Amer. Math. Soc, 88, 165 (1981).Google Scholar