activity
20122026
most citedGrid functions of nonstandard analysis in the theory of distributions and in partial differential equations

14 citations · 44 across the 14 of their papers we have counts for

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Showing 2014Show all

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math.LO2014

Some applications of numerosities in measure theory

Vieri Benci, Emanuele Bottazzi, Mauro Di Nasso

We present some applications of the notion of numerosity to measure theory, including the construction of a non-Archimedean model for the probability of infinite sequences of coin…

math.HO2014

Fermat, Leibniz, Euler, and the gang: The true history of the concepts of limit and shadow

Tiziana Bascelli, Emanuele Bottazzi, Frederik Herzberg +6

Fermat, Leibniz, Euler, and Cauchy all used one or another form of approximate equality, or the idea of discarding "negligible" terms, so as to obtain a correct analytic answer. Th…