prikaz prve stranice dokumenta Descartesov list i Fermatova metoda kvadrature
Access restricted to students and staff of home institution
master's thesis
Descartesov list i Fermatova metoda kvadrature
Zagreb: University of Zagreb, Faculty of Science, 2015. urn:nbn:hr:217:733992
Nemet, Maja
University of Zagreb
Faculty of Science
Department of Mathematics

Institutional repository: Repository of the Faculty of Science

Cite this document

Nemet, M. (2015). Descartesov list i Fermatova metoda kvadrature (Master's thesis). Zagreb: University of Zagreb, Faculty of Science. Retrieved from https://urn.nsk.hr/urn:nbn:hr:217:733992

Nemet, Maja. "Descartesov list i Fermatova metoda kvadrature." Master's thesis, University of Zagreb, Faculty of Science, 2015. https://urn.nsk.hr/urn:nbn:hr:217:733992

Nemet, Maja. "Descartesov list i Fermatova metoda kvadrature." Master's thesis, University of Zagreb, Faculty of Science, 2015. https://urn.nsk.hr/urn:nbn:hr:217:733992

Nemet, M. (2015). 'Descartesov list i Fermatova metoda kvadrature', Master's thesis, University of Zagreb, Faculty of Science, accessed 19 December 2024, https://urn.nsk.hr/urn:nbn:hr:217:733992

Nemet M. Descartesov list i Fermatova metoda kvadrature [Master's thesis]. Zagreb: University of Zagreb, Faculty of Science; 2015 [cited 2024 December 19] Available at: https://urn.nsk.hr/urn:nbn:hr:217:733992

M. Nemet, "Descartesov list i Fermatova metoda kvadrature", Master's thesis, University of Zagreb, Faculty of Science, Zagreb, 2015. Available at: https://urn.nsk.hr/urn:nbn:hr:217:733992

Metadata
TitleDescartesov list i Fermatova metoda kvadrature
AuthorMaja Nemet
MentorJuraj Šiftar (mentor)
Committee memberJuraj Šiftar (predsjednik povjerenstva)
Committee memberDijana Ilišević (član povjerenstva)
Committee memberOzren Perše (član povjerenstva)
Committee memberŽeljka Milin-Šipuš (član povjerenstva)
GranterUniversity of Zagreb
Faculty of Science
(Department of Mathematics)
Zagreb
Defense date and country2015-07-10, Croatia
Scientific / art field,
discipline and subdiscipline		NATURAL SCIENCES
Mathematics
Abstract
U ovom diplomskom radu bavili smo se krivuljom poznatom kao Descartesov list te nekim njezinim poopćenjima. Uz različita zanimljiva svojstva, Descartesov list ima i istaknuto mjesto u povijesti matematike, jer ta je krivulja poslužila kao povod za sukob velikih matematičara Descartesa i Fermata polovicom 17. stoljeća. Na primjeru određivanja površine omeđene ”petljom” ove krivulje pokazuje se kako je Fermat primjenjivao metode koje su za to doba, prije punog razvitka diferencijalnog i integralnog računa, bile iznimno domišljate i dalekosežne. Stoga je u radu naglasak na ”kvadraturi” petlje kako Descartesova lista tako i njegovih generalizacija iz 20. stoljeća.
Abstract (english)
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.
Keywords
Keywords (english)
Languagecroatian
URN:NBNurn:nbn:hr:217:733992
Study programmeTitle: Mathematics Education; specializations in: Mathematics Education
Course: Mathematics Education
Study programme type: university
Study level: graduate
Academic / professional title: magistar/magistra edukacije matematike (magistar/magistra edukacije matematike)
Type of resourceText
File originBorn digital
Access conditionsAccess restricted to students and staff of home institution
Terms of useLicence In copyright icon
Created on2019-01-28 09:42:30