# Yet Another Calculus Text - A Short Introduction with Infinitesimals

- By: Dan Sloughter
- Publisher: Furman University
- Source: [LibreTexts](https://math.libretexts.org/Bookshelves/Calculus/Book%3A_Yet_Another_Calculus_Text__A_Short_Introduction_with_Infinitesimals_(Sloughter))
- Licence: CC BY-NC-SA
- Read at LibreTexts: https://math.libretexts.org/Bookshelves/Calculus/Book%3A_Yet_Another_Calculus_Text__A_Short_Introduction_with_Infinitesimals_(Sloughter)
- PDF: https://downloads.libretexts.org/api/v1/download/math-23058/pdf

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 o