Foundations of Infinitesimal Calculus


On-line Edition, Copyright 2007 by H. Jerome Keisler


This monograph is a companion to the online edition of my textbook ``Elementary Calculus: An Approach Using Infinitesimals''. It can be used as a quick introduction to the infinitesimal approach to calculus for mathematicians, as background material for instructors, or as a text for an undergraduate seminar.

The first edition of this monograph was published in 1976, as a companion of the first edition of Elementary Calculus, by Prindle, Weber & Schmidt. The first edition is now out of print and the copyright has been returned to me as the author. This manuscript was made from a Latex file.


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Download the Monograph here.