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1994

Mathematics

Calculus

Theses Digitization Project

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Full-Text Articles in Physical Sciences and Mathematics

Nonstandard Analysis Based Calculus, Kathleen Renae Gibson Jan 1994

Nonstandard Analysis Based Calculus, Kathleen Renae Gibson

Theses Digitization Project

In the first part of the project the elementary development of an extended number system called Hyperreals is discussed. The second half of this project develops the basics of Nonstandard Analysis, including the theory of ultrafilters, and the formal construction of the Hyperreals.