Title of Paper:Real numbers as infinite decimals

Journal:The Mathematics Enthusiast

Place of Publication:University of Montana

Summary: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.

Correspondence Author:Liangpan Li

All the Authors:Nicolas Fardin

Indexed by:Journal paper

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

Links to Published Journals:https://scholarworks.umt.edu/tme/vol18/iss1/4/

Release Time:2021-01-22

TME Real numbers as infinite decimals.pdf