A visual form of completeness of real numbers

Zhibin Yan

doi:10.1080/0020739X.2024.2418593

A visual form of completeness of real numbers

Zhibin Yan^*

^*Corresponding author for this work

Harbin Institute of Technology Shenzhen

Research output: Contribution to journal › Comment/debate

Abstract

This paper gives a new characterisation of completeness of real numbers, which provides a visual way to understand some concepts in mathematical analysis.

Original language	English
Pages (from-to)	197-201
Number of pages	5
Journal	International Journal of Mathematical Education in Science and Technology
Volume	57
Issue number	1
DOIs	https://doi.org/10.1080/0020739X.2024.2418593
State	Published - 2026
Externally published	Yes

Keywords

Real numbers
axiom
calculus
completeness
least upper bound
logical quantifier
mathematical analysis
set theory

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10.1080/0020739X.2024.2418593

Cite this

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title = "A visual form of completeness of real numbers",

abstract = "This paper gives a new characterisation of completeness of real numbers, which provides a visual way to understand some concepts in mathematical analysis.",

keywords = "Real numbers, axiom, calculus, completeness, least upper bound, logical quantifier, mathematical analysis, set theory",

author = "Zhibin Yan",

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year = "2026",

doi = "10.1080/0020739X.2024.2418593",

language = "英语",

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KW - Real numbers

KW - axiom

KW - calculus

KW - completeness

KW - least upper bound

KW - logical quantifier

KW - mathematical analysis

KW - set theory

UR - https://www.scopus.com/pages/publications/85209638119

U2 - 10.1080/0020739X.2024.2418593

DO - 10.1080/0020739X.2024.2418593

M3 - 评论/辩论

AN - SCOPUS:85209638119

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VL - 57

SP - 197

EP - 201

JO - International Journal of Mathematical Education in Science and Technology

JF - International Journal of Mathematical Education in Science and Technology

IS - 1

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A visual form of completeness of real numbers

Abstract

Keywords

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