Descartesov list i Fermatova metoda kvadrature

Nemet, Maja (2015) Descartesov list i Fermatova metoda kvadrature. Diploma thesis, Faculty of Science > Department of Mathematics.

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Abstract

In this diploma paper, we have dealt with the curve called the folium of Descartes, and some of its generalizations. Besides its various interesting characteristics, the folium of Descartes also has a prominent place in the history of mathematics, because it has served as a cause of conflict between the two great mathematicians, Descartes and Fermat, in the mid-17th century. In the example of determining the area enclosed by the “loop” of the curve, it is visible that Fermat has been using methods which have been ingenious and far-reaching for his time, namely before the full development of differential and integral calculus. Therefore, the emphasis of the paper is on the “quadrature” of the loop of the folium of Descartes as well as its generalizations from the 20th century.

Item Type: Thesis (Diploma thesis)
Supervisor: Šiftar, Juraj
Date: 2015
Number of Pages: 35
Subjects: NATURAL SCIENCES > Mathematics
Divisions: Faculty of Science > Department of Mathematics
Depositing User: Iva Prah
Date Deposited: 23 Oct 2015 10:04
Last Modified: 23 Oct 2015 10:04
URI: http://digre.pmf.unizg.hr/id/eprint/4175

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