Adequality; Archimedean axiom; infinitesimal; law of continuity; mathematical rigor; standard part principle; transcendental law of homogeneity; variable quantity
Abstract :
[en] We examine prevailing philosophical and historical views about the origin of infinitesimal mathematics in light of modern infinitesimal theories, and show the works of Fermat, Leibniz, Euler, Cauchy and other giants of infinitesimal mathematics in a new light. Some topics from the history of infinitesimals illustrating our approach appear in alphabetical order.
Disciplines :
Mathematics
Author, co-author :
Bair, Jacques ; Université de Liège - ULiège > HEC-Ecole de gestion : UER > Mathématiques appliquées aux sc. économiques et de gestion
Henry, Valérie ; Université de Liège - ULiège > HEC-Ecole de gestion : UER > Mathématiques appliquées aux sc. économiques et de gestion
Blaszczyk, Piotr; University of Cracow, Poland
Ely, Robert; University of Idaho, Etats-Unis
Kanovei, Vladimir; IPPI and MIIT, Moscow
Katz, Karin; Bar Ilan University, Israël
Katz, Mikhail; Bar Ilan University, Israël
Kutateladze, Semen; Novosibirsk University, Russia
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