Article (Scientific journals)
Aconstruction of the real numbers based on Weierstrass's approach
Bennabi, Safia; Nicolay, Samuel
2024In Rocky Mountain Journal of Mathematics
Peer reviewed
 

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Keywords :
Real numbers; Foundations; History of analysis.
Abstract :
[en] In this paper, we put forth a construction of real numbers rooted in theWeierstraß approach. We depart from the original method by replacing the aliquot parts with rational numbers and employing epsilontics in lieu of comparisons relying on component parts.
Disciplines :
Mathematics
Author, co-author :
Bennabi, Safia ;  Université de Liège - ULiège > Mathematics
Nicolay, Samuel  ;  Université de Liège - ULiège > Département de mathématique > Analyse - Analyse fonctionnelle - Ondelettes
Language :
English
Title :
Aconstruction of the real numbers based on Weierstrass's approach
Publication date :
2024
Journal title :
Rocky Mountain Journal of Mathematics
ISSN :
0035-7596
eISSN :
1945-3795
Publisher :
Rocky Mountain Mathematics Consortium, United States - Arizona
Special issue title :
à paraître
Peer reviewed :
Peer reviewed
Available on ORBi :
since 06 May 2024

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