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Implicit differentiation with microscopes

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Publication:968807
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DOI10.1007/s00283-009-9088-0zbMath1191.26006OpenAlexW2080539244MaRDI QIDQ968807

Jacques Bair, Valérie Henry

Publication date: 10 May 2010

Published in: The Mathematical Intelligencer (Search for Journal in Brave)

Full work available at URL: http://orbi.ulg.ac.be/handle/2268/13591


zbMATH Keywords

hyperreal numbersconcept of virtual microscopenon-Archimedean ordered field


Mathematics Subject Classification ID

Nonstandard analysis (26E35)


Related Items (3)

Osculating circle with microscopes within microscopes ⋮ Stevin numbers and reality ⋮ Leibniz's infinitesimals: their fictionality, their modern implementations, and their foes from Berkeley to Russell and beyond



Cites Work

  • Looking at graphs through infinitesimal microscopes, windows and telescopes
  • Non-standard analysis




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