Introduction to nonstandard analysis

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Abstract
Nonstandard analysis is a recent branch of mathematics in which usual notions about analysis and topology can be formulated in an attractive and condensed manner. The main feature of this theory is that it introduces the concept of infinitely large or small numbers and that it allows one to compute with them in exactly the same way as in ordinary analysis. We believe that in the long run this new language might be usefully applied to physics. However, we only present a few examples of a rather trivial nature, our purpose being to give a short introduction of the subject to physicists. Thus we omit most of the technical subtleties especially those of a metamathematical nature, and we concentrate our attention on the practical side of the theory.

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