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Nonstandard Analysis and the Hyperreals

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Author:Jordi Gutierrez Hermoso; Math Forum, Ask Dr. Math FAQ
Description: 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.

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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