A New Approach to Nonstandard Analysis

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 com...

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Bibliographic Details
Main Author: Saghe Abdeljalil
Format: Article
Language:English
Published: University of Maragheh 2018-11-01
Series:Sahand Communications in Mathematical Analysis
Subjects:
Online Access:http://scma.maragheh.ac.ir/article_34187_1dc006e0051c51f4fe5705b57c2673a0.pdf