The non-standard analysis revival and its weak impact on education.
Monad (non-standard analysis), describes the set of points infinitely close to a given point.
His research has included model theory and non-standard analysis.
The theorem can also be proved using ultrafilters or non-standard analysis.
There are at least three reasons to consider non-standard analysis: historical, pedogogical, and technical.
His review caused a controversy, which is detailed at the article Criticism of non-standard analysis.
Some of the latter are studied in non-standard analysis.
The evaluation of non-standard analysis in the literature has varied greatly.
A more recent attempt at mathematics by formal finesse is non-standard analysis.
My interest in non-standard analysis is that attempts are being made to introduce it into calculus courses.