Short introduction to Nonstandard Analysis
综合数学
2007-05-23 v1 经典分析与常微分方程
摘要
These lecture notes, to be completed in a later version, 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. A number of detailed comments, not often found in textbooks, accompanies the text.
引用
@article{arxiv.math/0407178,
title = {Short introduction to Nonstandard Analysis},
author = {E. E. Rosinger},
journal= {arXiv preprint arXiv:math/0407178},
year = {2007}
}
备注
Lecture notes to be completed