The ring of Fermat reals
type: Item
instance of: scholarly article
title: The ring of Fermat reals
zbMATH Open document ID: 1205.26051
author: Paolo Giordano
published in: Advances in Mathematics
publication date: 2010-10-07T00:00:00Z
Mathematics Subject Classification ID: 26E99
Mathematics Subject Classification ID: 03H05
Mathematics Subject Classification ID: 26E35
zbMATH DE Number: 5796756
zbMATH Keywords: actual infinitesimals
zbMATH Keywords: nilpotent infinitesimals
zbMATH Keywords: smooth infinitesimal analysis
zbMATH Keywords: extension of the real field
MaRDI profile type: Publication
full work available at URL: j.aim.2010.04.010
OpenAlex ID: W2066916943
cites work: Q4208003
cites work: A ring homomorphism is enough to get nonstandard analysis
cites work: A purely algebraic characterization of the hyperreal numbers
cites work: Differential geometry, Lie groups and symmetric spaces over general base fields and rings
cites work: Q4003158
cites work: Q4057338
cites work: Q4871219
cites work: Q3859746
cites work: The rise of non-Archimedean mathematics and the roots of a misconception. I: The emergence of non-Archimedean systems of magnitudes
cites work: Q5569410
cites work: Q4680168
cites work: Q4046802
cites work: Q4394926
cites work: Q4693714
cites work: Q4374695
cites work: Q4875315
cites work: Q4059131
cites work: Q3997818
cites work: Function Theory on Some Nonarchimedean Fields
cites work: Q4373931
cites work: Q4168888
cites work: Full algebra of generalized functions and non-standard asymptotic analysis
cites work: Classical mechanics as quantum mechanics with infinitesimal \(\hslash\)
DOI: 10.1016/J.AIM.2010.04.010
description: scientific article; zbMATH DE number 5796756