2004/07/10 by E. E. Rosinger, Rosinger, E. E.
Mathematics · #Classical Analysis and ODEs (math.CA) #FOS: Mathematics #General Mathematics (math.GM) #math.CA #math.GM
paper · pdf · doi:10.48550/arxiv.math/0407178
Lecture notes to be completed
arxiv created 2004/07/10 · arxiv updated 2009/12/01
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.