• Title of article

    A New Approach to Nonstandard Analysis

  • Author/Authors

    Saghe ، Abdeljalil Cpge de Settat, Lycee Qualifiant Technique

  • Pages
    60
  • From page
    195
  • To page
    254
  • 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
    Nonstandard analysis , Hyppereals , Internal set theory
  • Journal title
    Sahand Communications in Mathematical Analysis
  • Serial Year
    2018
  • Journal title
    Sahand Communications in Mathematical Analysis
  • Record number

    2454887

    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=10&DC=2454887