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Results tagged with nonstandard-analysis
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user 100163
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
If you can read French, the book Analyse Non Standard by Diener and Reeb is very beautifully written, and has some material that I don't believe has appeared anywhere else. It's out of print but one c …
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Loeb measures and non-standard hull of Banach spaces
Yes, $f:\Omega \rightarrow \hat{V}$ has a lifting to some function $F : \Omega \rightarrow V$. This is shown in section 4 of the paper "Lifting theorems in nonstandard measure theory", D. Ross, 1990: …
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