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Results tagged with nonstandard-analysis
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user 1847
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
Nelson's Radically Elementary Probability Theory.
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How helpful is non-standard analysis?
From the Wikipedia article:
the list of new applications in
mathematics is still very small. One
of these results is the theorem proven
by Abraham Robinson and Allen
Bernstein that every polynomially …
- 15.4k