A new approach to the real numbers
Classical Analysis and ODEs
2011-03-08 v3 History and Overview
Number Theory
Abstract
In this paper we provide a complete approach to the real numbers via decimal representations. Construction of the real numbers by Dedekind cuts, Cauchy sequences of rational numbers, and the algebraic characterization of the real number system by the concept of complete ordered field are also well explained in the new setting.
Cite
@article{arxiv.1101.1800,
title = {A new approach to the real numbers},
author = {Liangpan Li},
journal= {arXiv preprint arXiv:1101.1800},
year = {2011}
}