# Book: Yet Another Calculus Text - A Short Introduction with Infinitesimals (Sloughter)


This text is an introduction to calculus based on the hyperreal number system and uses infinitesimal and infinite numbers freely. Just as most beginning calculus books provide no logical justification for the real number system, none are provided for the hyperreals. The text is aimed 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.

Thumbnail: A straight line tangent to a curve. (CC BY-SA 3.0 UnportedAxelBoldt via Wikicommons)

This page titled Book: Yet Another Calculus Text - A Short Introduction with Infinitesimals (Sloughter) is shared under a CC BY-NC-SA 1.0 license and was authored, remixed, and/or curated by Dan Sloughter via source content that was edited to the style and standards of the LibreTexts platform; a detailed edit history is available upon request.