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