Published 2020-07-15
Keywords
- Continued fractions,
- Stern-Brocot tree,
- Elementary number theory
This work is licensed under a Creative Commons Attribution-NonCommercial 4.0 International License.
How to Cite
A natural way to write non-Natural numbers. (2020). Scientia Series A: Mathematical Sciences, 30, 79-89. https://revistas.usm.cl/scientia/article/view/41
Abstract
In the early 20th century, continued fractions used to be a regular
ingredient of the school curriculum, but they have now all but disappeared. In
this article we present an elementary treatment based on the Stern-Brocot tree,
with emphasis on the fact that they provide a more natural way to represent
irrational numbers than the usual decimal expansion.
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