Journal:The Mathematics Enthusiast

Place of Publication:University of Montana

Abstract:Stemming from an idea put forward by Loo-Keng Hua in 1962, this article describes an original way to perform arithmetic directly on infinite decimals. This approach leads to a new and elementary construction of the real number system via decimal representation. Based on the least upper bound property, a definition of trigonometric functions is also included, which settles an issue that Godfrey H. Hardy called a "fatal defect" in his Course of Pure Mathematics.

All the Authors:Nicolas Fardin

Indexed by:Journal paper

Correspondence Author:Liangpan Li

Discipline:Natural Science

First-Level Discipline:Mathematics

Volume:18

Issue:1-2

Page Number:21--38

Translation or Not:no

Date of Publication:2021-01-01

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