Real numbers as infinite decimals and irrationality of $\sqrt{2}$
History and Overview
2009-11-02 v1 Number Theory
Abstract
In order to prove irrationality of \sqrt{2} by using only decimal expansions (and not fractions), we develop in detail a model of real numbers based on infinite decimals and arithmetic operations with them.
Keywords
Cite
@article{arxiv.0910.5870,
title = {Real numbers as infinite decimals and irrationality of $\sqrt{2}$},
author = {Martin Klazar},
journal= {arXiv preprint arXiv:0910.5870},
year = {2009}
}
Comments
20 pages