Yet Another Calculus Text: A Short Introduction with Infinitesimals
Overview & Synopsis
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.
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Document Information
| Document Title | Yet Another Calculus Text: A Short Introduction with Infinitesimals |
|---|---|
| Author / Organization | Dan Sloughter |
| Subject & Discipline | Calculus and Mathematical Analysis, Algebra (Abstract, Linear, etc.), Number Theory, Geometry and Topology |
| Categories | Calculus and Mathematical Analysis |
| Publication Year | 2009 |
| ISBN | 1616100893 |
| License / Rights | Creative Commons License (CC) |
| Resource Verification | Verification pending |
| Alternative Mirrors & Links | |
| Original Host Website |
FreeComputerBooks.com
(freecomputerbooks.com)
|
| File Format | application/pdf (Portable Document Format) |
| Language | ENGLISH |
| Catalog ID | DOC-114017 |
| Original Source Link | Visit Source Page on freecomputerbooks.com » |
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