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• W2187359909 abstract "Is it possible to define a powerful ring of actual infinitesimals using standard analysis only? Can we realize this goal without using a specific background of logic? Are we able to define this ring always keeping a good intuitive interpretation of the new numbers we are defining? The theory of Fermat reals was born trying to answer these questions. In this article we introduce axiomatically the ring of Fermat reals, we review its surprisingly simple definition and study its total order relation. We prove that a clear geometrical representation of this ring is possible, we characterize its skeleton group, generalize the existence of supremum and present its computer implementation." @default.
• W2187359909 created "2016-06-24" @default.
• W2187359909 creator A5011460302 @default.
• W2187359909 date "2011-01-01" @default.
• W2187359909 modified "2023-09-27" @default.
• W2187359909 title "Order relation and geometrical representation of Fermat reals" @default.
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• W2187359909 hasPublicationYear "2011" @default.
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