Nonstandard analysis: New way and criticism of the previous approaches - Archive ouverte HAL Accéder directement au contenu
Pré-Publication, Document De Travail Année : 2017

Nonstandard analysis: New way and criticism of the previous approaches

Abdeljalil Saghe

Résumé

In this paper we propose a new approach to nonstandard analysis without using the ultrafilters, this method is very simple in practice. Moreover, we construct explicitly the total order relation in the new field of the infinitesimal numbers. To illustrate the importance of this work, we suggest a few applications of the new approach, and we propose to compare it with the previous methods.
Fichier principal
Vignette du fichier
Omicran.pdf (292 Ko) Télécharger le fichier
Origine Fichiers produits par l'(les) auteur(s)
Loading...

Dates et versions

hal-01516131 , version 1 (28-04-2017)
hal-01516131 , version 2 (13-10-2019)

Identifiants

  • HAL Id : hal-01516131 , version 1

Citer

Abdeljalil Saghe. Nonstandard analysis: New way and criticism of the previous approaches. 2017. ⟨hal-01516131v1⟩
1649 Consultations
1592 Téléchargements

Partager

Gmail Mastodon Facebook X LinkedIn More