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Nonstandard Analysis and the Hyperreals

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| Jordi Gutierrez Hermoso; Math Forum, Ask Dr. Math FAQ | |
| An essay introducing the most basic ideas of nonstandard analysis and the hyperreal number system. Contents: A Very Brief History of Almost-Nothing and More-than-Everything; The Hyperreal Wish-List; Construction of the hyperreal numbers; Hyperreal arithmetic; Functions and extensions; The *-transform and the transfer principle; From here on; Note on Symbols. | |
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| Levels: | Twelfth Grade, College |
| Languages: | English |
| Resource Types: | Frequently Asked Questions (FAQs) |
| Math Topics: | Real Analysis, History and Biography, Logic/Foundations, Set Theory, Number Theory |
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