Short introduction to Nonstandard Analysis

Short introduction to Nonstandard Analysis
by E. E. Rosinger

Publisher: arXiv 2004
Number of pages: 197

Description:
These lecture notes offer a short and rigorous introduction to Nostandard Analysis, mainly aimed to reach to a presentation of the basics of Loeb integration, and in particular, Loeb measures. The Abraham Robinson version of Nostandard Analysis is pursued, with a respective incursion into Superstructures. Two formal languages are used, one simpler at first, and then later, one for the full blown theory.