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master's thesis
Fibonaccijevi i Lucasovi brojevi
2017. urn:nbn:hr:126:782662
Zirdum, Ivona
Josip Juraj Strossmayer University of Osijek
Department of Mathematics
Chair of Pure Mathematics and Mathematics Teaching
Algebra, Analysis and Number Theory Research Group

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Zirdum, I. (2017). Fibonaccijevi i Lucasovi brojevi (Master's thesis). Osijek: Josip Juraj Strossmayer University of Osijek, Department of Mathematics. Retrieved from https://urn.nsk.hr/urn:nbn:hr:126:782662

Zirdum, Ivona. "Fibonaccijevi i Lucasovi brojevi." Master's thesis, Josip Juraj Strossmayer University of Osijek, Department of Mathematics, 2017. https://urn.nsk.hr/urn:nbn:hr:126:782662

Zirdum, Ivona. "Fibonaccijevi i Lucasovi brojevi." Master's thesis, Josip Juraj Strossmayer University of Osijek, Department of Mathematics, 2017. https://urn.nsk.hr/urn:nbn:hr:126:782662

Zirdum, I. (2017). 'Fibonaccijevi i Lucasovi brojevi', Master's thesis, Josip Juraj Strossmayer University of Osijek, Department of Mathematics, accessed 13 November 2024, https://urn.nsk.hr/urn:nbn:hr:126:782662

Zirdum I. Fibonaccijevi i Lucasovi brojevi [Master's thesis]. Osijek: Josip Juraj Strossmayer University of Osijek, Department of Mathematics; 2017 [cited 2024 November 13] Available at: https://urn.nsk.hr/urn:nbn:hr:126:782662

I. Zirdum, "Fibonaccijevi i Lucasovi brojevi", Master's thesis, Josip Juraj Strossmayer University of Osijek, Department of Mathematics, Osijek, 2017. Available at: https://urn.nsk.hr/urn:nbn:hr:126:782662

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Metadata
TitleFibonaccijevi i Lucasovi brojevi
Title (english)Fibonacci and Lucas Numbers
AuthorIvona Zirdum
MentorMirela Jukić Bokun (mentor)
Committee memberIvan Matić (predsjednik povjerenstva)
Committee memberMirela Jukić Bokun (član povjerenstva)
Committee memberSnježana Majstorović (član povjerenstva)
GranterJosip Juraj Strossmayer University of Osijek
Department of Mathematics
(Chair of Pure Mathematics and Mathematics Teaching)
(Algebra, Analysis and Number Theory Research Group)
Osijek
Defense date and country2017-11-17, Croatia
Scientific / art field,
discipline and subdiscipline		NATURAL SCIENCES
Mathematics
Algebra
Abstract
U ovom diplomskom radu dan je uvod u Fibonaccijeve i Lucasove brojeve. U prvom dijelu rada definirali smo Fibonaccijeve i Lucasove brojeve, dokazali različite identitete koji vrijede za Fibonaccijeve brojeve, neke koji vrijede za Lucasove brojeve i neke koji su poveznica između Lucasovih i Fibonaccijevih brojeva. U drugom dijelu rada nabrojana su još neka svojstva ovih brojeva i opisana je njihova veza s Pascalovim trokutom. U trećem dijelu navedene su primjene Fibonaccijevih brojeva u geometriji i trigonometriji, tzv. Fibonometrija. Na kraju rada su navedene neke zanimljivosti vezane uz ove brojeve: njihovo pojavljivanje u prirodi, tzv. Fibonaccijeve krivotvorine i brojevni sustavi bazirani na Fibonaccijevim i Lucasovim brojevima.
Abstract (english)
In this paper we give the introduction to Fibonacci and Lucas numbers. First part of the paper gives descriptions od Fibonacci and Lucas numbers, proofs of various identities that are valid for Fibonacci numbers, some that are valid for Lucas numbers and some that bring Lucas and Fibonacci numbers together. The second part of the paper lists some basic properties of this numbers and give connections with Pascal triangle. Next part of the paper contains the applications of Fibonacci numbers in geometry and trigonometry, the so-called Fibonometry. The end of this paper brings some intresting facts about these numbers: their appearance in nature, the so-called Fibonacci falsifications and number systems with Fibonacci and Lucas numbers.
Keywords
Keywords (english)
Languagecroatian
URN:NBNurn:nbn:hr:126:782662
Study programmeTitle: Mathematics and Computer Science
Study programme type: university
Study level: integrated undergraduate and graduate
Academic / professional title: magistar/magistra edukacije matematike i informatike (magistar/magistra edukacije matematike i informatike)
Type of resourceText
File originBorn digital
Access conditionsOpen access
Terms of useLicence In copyright icon
Created on2017-11-29 09:05:56