Nonstandard Analysis - A Simplified Approach
arXiv:math/0310351
Abstract
In this monograph, nonstandard characteristics for many notions from real analysis are obtained and applied. However, only two simple types of atomic formula are used and almost all of the characteristics are shown to hold for a simple ultrapower styled structure generated by any free ultrafilter over the natural numbers.
Plain Tex, 82 pages. In this version, a few necessary corrections are made and exposition is improved throughout the version