Yet Another Calculus Text - A Short Introduction with Infinitesimals

An introduction to calculus based on the hyperreal number system. Requires some acquaintance with the basic notions of calculus.

**Tag(s):**
Calculus

**Publication date**: 24 Sep 2009

**ISBN-10**:
1616100893

**ISBN-13**:
9781616100896

**Paperback**:
147 pages

**Views**: 7,639

**Type**: Textbook

**Publisher**:
Orange Grove Publishing

**License**:
Creative Commons Attribution-NonCommercial-ShareAlike 3.0 Unported

**Post time**: 07 Mar 2008 01:21:41

Yet Another Calculus Text - A Short Introduction with Infinitesimals

An introduction to calculus based on the hyperreal number system. Requires some acquaintance with the basic notions of calculus.

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Excerpts from the Preface:

Dan Sloughter wrote:I intend this book to be, firstly, an 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.

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About The Author(s)

Dan Sloughter is Professor in the Department of Mathematics at Furman University. Dan has been teaching Furman students since 1986, and became Professor of Mathematics in 1996. He previously served as an assistant professor at Santa Clara University from 1983-86, and at Boston College from 1981-83. He was also an instructor at Dartmouth College from 1979-81. His areas of interest are probability, statistics, analysis, philosophy of mathematics and statistics.

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