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Is mathematical history written by the victors
The ABCs of the History of Infinitesimal Mathematics The ABCs of the history of infinitesimal mathematics are in need of clarification. To what extent does the famous dictum “history is alwaysExpand
Heavy metal and PCB contamination of Bryozoan colonies in the River Meuse (Belgium)
In the Meuse River (Liège area, Belgium), large amounts of three species of Bryozoans, Fredericella sultana (BLUM.), Plumatella emarginata ALL. and Plumatella fungosa (PALL.) occur. They cover 3 toExpand
Interpreting the Infinitesimal Mathematics of Leibniz and Euler
Abstract We apply Benacerraf’s distinction between mathematical ontology and mathematical practice (or the structures mathematicians use in practice) to examine contrasting interpretations ofExpand
Namur Is mathematical history written by the victors ?
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, CauchyExpand
From Mixed Angles to Infinitesimals
What we normally consider as an angle today, the union of two rays with a common end point, has not always been standard practice. In particular, Euclid himself, and later Newton, allowed moreExpand
Implicit with Microscopes
A DIDACTIC SURVEY OVER MAIN CHARACTERISTICS OF LAGRANGE'S THEOREM IN MATHEMATICS AND IN ECONOMICS
Because of its many uses, the constrained optimization problem is presented in most undergraduate mathematics courses dealing with calculus for both mathematicians and economists. Our researchExpand
Osculating Circle with Microscopes Within Microscopes
Classically, an osculating circle at a point of a planar curve is introduced technically, often with formula giving its radius and the coordinates of its center. In this note, we propose a new andExpand
From Newton’s fluxions to virtual microscopes
The method of fluxions was originally given by Newton among others in order to determine the tangent to a curve. In this note, we will formulate this method by the light of some modern mathematicalExpand
An Introduction to Differentials Based on Hyperreal Numbers and Infinite Microscopes
Abstract In this article, we propose to introduce the differential of a function through a non-classical way, lying on hyperreals and infinite microscopes. This approach is based on the developmentsExpand
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