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master's thesis
Fibonaccijevi brojevi i zlatni rez
2021. urn:nbn:hr:166:409488
Jelić, Valentina
University of Split
Faculty of Science
Department of Mathematics

Cite this document

Jelić, V. (2021). Fibonaccijevi brojevi i zlatni rez (Master's thesis). Split: University of Split, Faculty of Science. Retrieved from https://urn.nsk.hr/urn:nbn:hr:166:409488

Jelić, Valentina. "Fibonaccijevi brojevi i zlatni rez." Master's thesis, University of Split, Faculty of Science, 2021. https://urn.nsk.hr/urn:nbn:hr:166:409488

Jelić, Valentina. "Fibonaccijevi brojevi i zlatni rez." Master's thesis, University of Split, Faculty of Science, 2021. https://urn.nsk.hr/urn:nbn:hr:166:409488

Jelić, V. (2021). 'Fibonaccijevi brojevi i zlatni rez', Master's thesis, University of Split, Faculty of Science, accessed 16 November 2024, https://urn.nsk.hr/urn:nbn:hr:166:409488

Jelić V. Fibonaccijevi brojevi i zlatni rez [Master's thesis]. Split: University of Split, Faculty of Science; 2021 [cited 2024 November 16] Available at: https://urn.nsk.hr/urn:nbn:hr:166:409488

V. Jelić, "Fibonaccijevi brojevi i zlatni rez", Master's thesis, University of Split, Faculty of Science, Split, 2021. Available at: https://urn.nsk.hr/urn:nbn:hr:166:409488

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Metadata
TitleFibonaccijevi brojevi i zlatni rez
Title (english)Fibonacci Numbers and the Golden Ratio
AuthorValentina Jelić
MentorMarija Bliznac Trebješanin (mentor)
Committee memberMarija Bliznac Trebješanin (predsjednik povjerenstva)
Committee memberBorka Jadrijević (član povjerenstva)
Committee memberŽeljka Zorić (član povjerenstva)
GranterUniversity of Split
Faculty of Science
(Department of Mathematics)
Split
Defense date and country2021-09-24, Croatia
Scientific / art field,
discipline and subdiscipline		NATURAL SCIENCES
Mathematics
Abstract
Ovaj diplomski rad govori o Fibonaccijevim brojevima. U prvom poglavlju definira se Fibonaccijev niz, navode se zanimljiva svojstva vezana uz taj niz te se dokazuju identiteti koji povezuju Fibonaccijeve i Lucasove brojeve. Uvodi se pojam zlatnog reza te se otkrivaju pojave zlatnog reza u nekim geometrijskim likovima. U drugome poglavlju prikazani su zanimljivi problemi i zadaci u kojima se pojavljuju Fibonaccijevi brojevi i koji imaju za rješenja Fibonaccijeve brojeve. U trećem poglavlju navedeni su primjeri zlatnog reza u svijetu oko nas, te su navedeni neki primjeri zlatnog reza koji se spominju u raznim časopisima i člancima, a koji nisu istiniti.
Abstract (english)
This thesis discusses Fibonacci numbers. In the first chapter, the Fibonacci sequence is defined, and the interesting properties related to Fibonacci sequence are proved by the identities that connect the Fibonacci and Lucas numbers. The notion of the golden ratio is introduced and some phenomena of the golden ratio in some geometric figures are revealed. The second chapter presents interesting problems and tasks in which Fibonacci numbers appear and which have Fibonacci numbers for solutions. The third chapter lists examples of the golden ratio in the world around us, and there are also some examples of the golden ratio mentioned in various magazines and articles that are not true.
Keywords
Keywords (english)
Languagecroatian
URN:NBNurn:nbn:hr:166:409488
Study programmeTitle: Mathematics; specializations in: major in pure mathematics, major in computing, major in teaching, major in statistics and computing
Course: major in teaching
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 on2021-10-11 12:38:35