Document Type: Research Paper

Author

Cpge de Settat, Lycee Qualifiant Technique PB: 576-Maroc.

10.22130/scma.2018.63978.244

Abstract

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 comparing  a few applications of this approach with the former methods.

Keywords

Main Subjects

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