Comprehensive Exploration of the Archimedean Property: Insights and Proofs for Undergraduate Mathematics Students

This study has been undertaken to understand The Archimedean property in detail. Various references have been made to go in depth of the concept. An attempt is made to combine all possible results on The Archimedean property so as to help the reader to have a better insight of it. The aim of this paper is to explore maximum number of statements with proofs that can help the undergraduate students studying Mathematics to understand this property in better way.