A new approach to the real numbers

Published 10 Jan 2011 in math.CA, math.HO, and math.NT | (1101.1800v3)

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.

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Liangpan Li

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