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arXiv · 1103.1272

The ring of fluxions

S. R. Doty
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Abstract

The ring of fluxions (real sequential germs at infinity) provides a rigorous approach to infinitesimals, different from the better-known approach of Abraham Robinson. The basic idea was first espoused in a paper by Curt Schmieden and Detlof Laugwitz published in 1958. Although this ring codifies all the usual intuitive properties of infinitesimals in a very elementary way, its existence has been generally ignored.

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S. R. Doty. 2011-03-09. The ring of fluxions. https://arxiv.org/abs/1103.1272

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