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 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
 ISBN10: 1616100893
 ISBN13: 9781616100896
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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 Nonstandard Analysis or Robert Goldblattâ€™s Lectures on the Hyperreals.
About the Authors Dan Sloughter, Professor of Mathematics Emeritus, Furman University.
 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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