Fermat-Reyes method in the ring of Fermat reals

DOI10.1016/j.aim.2011.06.008zbMath1238.03052OpenAlexW2046038305MaRDI QIDQ639539

Paolo Giordano

Publication date: 22 September 2011

Published in: Advances in Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aim.2011.06.008

zbMATH Keywords

smooth infinitesimal analysisnilpotent infinitesimalsextension of the real fieldFermat-Reyes theorem

Mathematics Subject Classification ID

Nonstandard models in mathematics (03H05) Nonstandard analysis (26E35)

Related Items (5)

Who gave you the Cauchy-Weierstrass tale? The dual history of rigorous calculus ⋮ New topologies on Colombeau generalized numbers and the Fermat-Reyes theorem ⋮ Categorical frameworks for generalized functions ⋮ Calculus in the ring of Fermat reals. I: Integral calculus ⋮ Topological and algebraic structures on the ring of Fermat reals

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