# Yet Another Calculus Text

## A short introduction with infinitesimals

### Preface

I intend this book to be, firstly, a introduction to calculus based on the hyperreal number system.
In other words, I will use infinitesimal and infinite numbers freely. Just as most beginning calculus
books provide no logical justification for the real number system, I will provide none for
the hyperreals. The reader interested in questions of foundations should consult books
such as Abraham Robinson's *Non-standard Analysis* or Robert Goldblatt's *Lectures on the Hyperreals*.

Secondly, I have aimed the text primarily at readers who already have some familiarity with
calculus. Although the book does not explicitly assume any prerequisites beyond basic
algebra and trigonometry, in practice the pace is too fast for most of those without some
acquaintance with the basic notions of calculus.

Download: *Yet Another Calculus Text* (approximately 4 MB)

*Yet Another Calculus Text* was written with the help
of LaTeX, Aymptote,
and Kile.

This is a beta edition of *Yet Another Calculus Text*. Please send e-mail to
Dan Sloughter to report any errors.

Copyright © 2007 by
Dan Sloughter.

This work comes with ABSOLUTELY NO WARRANTY.

This work is licensed under a Creative Commons
License.

Last modified: Sunday 10 June 2012 19:04 PDT

27983