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undergraduate thesis
Pellove i Pellovske jednadžbe
Osijek: Josip Juraj Strossmayer University of Osijek, Department of Mathematics, 2022. urn:nbn:hr:126:438363
Granoša, Ivana
Josip Juraj Strossmayer University of Osijek
Department of Mathematics

Institutional repository: Repository of School of Applied Mathematics and Informatics

Cite this document

Granoša, I. (2022). Pellove i Pellovske jednadžbe (Undergraduate thesis). Osijek: Josip Juraj Strossmayer University of Osijek, Department of Mathematics. Retrieved from https://urn.nsk.hr/urn:nbn:hr:126:438363

Granoša, Ivana. "Pellove i Pellovske jednadžbe." Undergraduate thesis, Josip Juraj Strossmayer University of Osijek, Department of Mathematics, 2022. https://urn.nsk.hr/urn:nbn:hr:126:438363

Granoša, Ivana. "Pellove i Pellovske jednadžbe." Undergraduate thesis, Josip Juraj Strossmayer University of Osijek, Department of Mathematics, 2022. https://urn.nsk.hr/urn:nbn:hr:126:438363

Granoša, I. (2022). 'Pellove i Pellovske jednadžbe', Undergraduate thesis, Josip Juraj Strossmayer University of Osijek, Department of Mathematics, accessed 21 December 2024, https://urn.nsk.hr/urn:nbn:hr:126:438363

Granoša I. Pellove i Pellovske jednadžbe [Undergraduate thesis]. Osijek: Josip Juraj Strossmayer University of Osijek, Department of Mathematics; 2022 [cited 2024 December 21] Available at: https://urn.nsk.hr/urn:nbn:hr:126:438363

I. Granoša, "Pellove i Pellovske jednadžbe", Undergraduate thesis, Josip Juraj Strossmayer University of Osijek, Department of Mathematics, Osijek, 2022. Available at: https://urn.nsk.hr/urn:nbn:hr:126:438363

Metadata
TitlePellove i Pellovske jednadžbe
Title (english)Pell's and Pellian Equations
AuthorIvana Granoša
MentorMirela Jukić Bokun (mentor)
GranterJosip Juraj Strossmayer University of Osijek
Department of Mathematics
Osijek
Defense date and country2022-09-09, Croatia
Scientific / art field,
discipline and subdiscipline		NATURAL SCIENCES
Mathematics
Other Mathematical Disciplines
Abstract
Kroz ovaj rad upoznajemo i obrađujemo Pellove jednadžbe, tražimo njihova rješnja, razmatramo razne slučaje postojanja rješenja i njihov oblik. Bitnu ulogu u radu čine i verižni razlomci pomoću kojih također možemo tražiti rješenja ovih jednadžbi. Naposljetku proučavamo pellovsku jednadžbu, dodajemo nove pojmove i svojstva. Cijeli rad prožet je primjerima kojima bolje predočavamo teoreme i upotrebe određenih algoritama.
Abstract (english)
Through this paper we will get to know and elaborate Pell’s equations and look for their solutions. We will consider some cases of the existence of solution and their form. Continued fractions have an important role in the paper because using them we can also find solutions for these equation. Finally, we will study Pellian equation with some new and special concept. Entire paper contains examples that better ilustrate theorems and applications.
Keywords
Keywords (english)
Languagecroatian
URN:NBNurn:nbn:hr:126:438363
Study programmeTitle: University undergraduate study programme in mathematics
Study programme type: university
Study level: undergraduate
Academic / professional title: sveučilišni/a prvostupnik/prvostupnica (baccalaureus/baccalaurea) matematike (sveučilišni/a prvostupnik/prvostupnica (baccalaureus/baccalaurea) matematike)
Type of resourceText
File originBorn digital
Access conditionsOpen access
Terms of useLicence In copyright icon
Created on2022-09-16 12:01:27