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Results tagged with nonstandard-analysis
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user 85917
Nonstandard analysis is a way of doing calculus and analysis with infinitesimals. The historical approach of Leibniz, Euler, and others to infinitesimal calculus was gradually replaced by epsilon, delta techniques in the context of a real continuum, in the 19th century. It was not until the 1960s that Abraham Robinson developed a theory of a hyperreal continuum that allows for a development of analysis procedurally akin to that of its founders.
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nonstandard analysis book recommendation
I should add to those Martin Davis's "Applied Nonstandard Analysis", available from Dover Publications.It's exposition is clear and logical and begins with ultrafilers by using Zarmello-Frankel set th …