prikaz prve stranice dokumenta Metode rješavanja Pellove jednadžbe
  Download
PDF 198.17 KB
master's thesis
Metode rješavanja Pellove jednadžbe
Zagreb: University of Zagreb, Faculty of Science, 2015. urn:nbn:hr:217:048822
Bagović, Jasna
University of Zagreb
Faculty of Science
Department of Mathematics

Institutional repository: Repository of the Faculty of Science

Cite this document

Bagović, J. (2015). Metode rješavanja Pellove jednadžbe (Master's thesis). Zagreb: University of Zagreb, Faculty of Science. Retrieved from https://urn.nsk.hr/urn:nbn:hr:217:048822

Bagović, Jasna. "Metode rješavanja Pellove jednadžbe." Master's thesis, University of Zagreb, Faculty of Science, 2015. https://urn.nsk.hr/urn:nbn:hr:217:048822

Bagović, Jasna. "Metode rješavanja Pellove jednadžbe." Master's thesis, University of Zagreb, Faculty of Science, 2015. https://urn.nsk.hr/urn:nbn:hr:217:048822

Bagović, J. (2015). 'Metode rješavanja Pellove jednadžbe', Master's thesis, University of Zagreb, Faculty of Science, accessed 03 November 2024, https://urn.nsk.hr/urn:nbn:hr:217:048822

Bagović J. Metode rješavanja Pellove jednadžbe [Master's thesis]. Zagreb: University of Zagreb, Faculty of Science; 2015 [cited 2024 November 03] Available at: https://urn.nsk.hr/urn:nbn:hr:217:048822

J. Bagović, "Metode rješavanja Pellove jednadžbe", Master's thesis, University of Zagreb, Faculty of Science, Zagreb, 2015. Available at: https://urn.nsk.hr/urn:nbn:hr:217:048822

Metadata
TitleMetode rješavanja Pellove jednadžbe
AuthorJasna Bagović
MentorAlan Filipin (mentor)
Committee memberAlan Filipin (predsjednik povjerenstva)
Committee memberAndrej Dujella (član povjerenstva)
Committee memberNenad Antonić (član povjerenstva)
Committee memberJosip Tambača (član povjerenstva)
GranterUniversity of Zagreb
Faculty of Science
(Department of Mathematics)
Zagreb
Defense date and country2015-09-28, Croatia
Scientific / art field,
discipline and subdiscipline		NATURAL SCIENCES
Mathematics
Abstract
U ovom diplomskom radu, glavnu ulogu je imao Pell, odnosno njegove jednadžbe. Cilj rada je bio definirati i dati efikasne načine rješavanja Pellovih jednadžbi. Na samom početku rada su navedeni neki važniji rezultati koji se tiču diofantskih jednadžbi jer je Pellova jednadžba zapravo specijalan slučaj diofantske jednadžbe. Nadalje, dane su definicije Pellove i pellovske jednadžbe, kao i teoremi koji daju nužne i dovoljne uvjete za egzistenciju i strukturu tih rješenja. Kroz drugo poglavlje su opisane metode kojima se određuju rješenja tih jednadžbi, dok je u trećem poglavlju opisan takozvani Arhimedov problem stoke, te je dana veza tog problema s Pellovim jednadžbama.
Abstract (english)
In this thesis, the main role had Pell, in fact his equations. The aim of the study was to define and provide efficient ways of solving Pell’s equations. At the very beginning of this thesis are some important results concerning Diophantine equations because Pell’s equation is a special case of Diophantine equation. Further, there are also definitions of Pell’s and generalized Pell equations as well as theorems which are giving necessary and sufficient conditions for existence and structure of such solutions. The second chapter describes methods for determining solutions of these equations, while the third chapter describes the so-called Archimedes’ cattle problem and finds connection between that problem and Pell’s equation.
Keywords
Keywords (english)
Languagecroatian
URN:NBNurn:nbn:hr:217:048822
Study programmeTitle: Computer Science and Mathematics
Study programme type: university
Study level: graduate
Academic / professional title: magistar/magistra računarstva i matematike (magistar/magistra računarstva i matematike)
Type of resourceText
File originBorn digital
Access conditionsOpen access
Terms of useLicence In copyright icon
Created on2017-05-09 11:09:04