Geodesic
Introduction to E. Nelson’s internal set theory
Annales Universitatis Paedagogicae Cracoviensis. Studia ad Didacticam Mathematicae Pertinentia, Tome 7 (2015) no. 1, pp. 59-78.

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An axiomatic approach to Non-standard Analysis by E. Nelsonis presented in a simplified form. The main aim of the article is strictly thepopularization of NSA, and not its foundations. No special preparation inmathematical logic is required from the reader but it is assumed that he(she) is familiar with elementary calculus and linear algebra.
Keywords: Nonstandard Models in Analysis, Internal Set Theory 
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Kudryk, Taras. Introduction to E. Nelson’s internal set theory. Annales Universitatis Paedagogicae Cracoviensis. Studia ad Didacticam Mathematicae Pertinentia, Tome 7 (2015) no. 1, pp. 59-78. http://geodesic.mathdoc.fr/item/AUPCDM_2015_7_1_a4/