• Title: Yet Another Calculus Text: A Short Introduction with Infinitesimals
• Author(s) Dan Sloughter
• Publisher: Orange Grove Texts Plus (2009); eBook (Furman University; Creative Commons Licensed)
• License(s): Creative Commons License (CC)
• Hardcover/Paperback: 147 pages
• eBook: HTML and PDF
• Language: English
• ISBN-10: 1616100893
• ISBN-13: 978-1616100896
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Book Description

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.

• Dan Sloughter, Professor of Mathematics Emeritus, Furman University.

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• Calculus and Mathematical Analysis
• Algebra (Abstract, Linear, etc.)
• Number Theory
• Geometry and Topology

• Yet Another Calculus Text: A Short Introduction with Infinitesimals (Dan Sloughter)
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