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master's thesis
Metoda rekurzije
Zagreb: University of Zagreb, Faculty of Science, 2021. urn:nbn:hr:217:829599
Višić, Emilija
University of Zagreb
Faculty of Science
Department of Mathematics

Institutional repository: Repository of the Faculty of Science

Cite this document

Višić, E. (2021). Metoda rekurzije (Master's thesis). Zagreb: University of Zagreb, Faculty of Science. Retrieved from https://urn.nsk.hr/urn:nbn:hr:217:829599

Višić, Emilija. "Metoda rekurzije." Master's thesis, University of Zagreb, Faculty of Science, 2021. https://urn.nsk.hr/urn:nbn:hr:217:829599

Višić, Emilija. "Metoda rekurzije." Master's thesis, University of Zagreb, Faculty of Science, 2021. https://urn.nsk.hr/urn:nbn:hr:217:829599

Višić, E. (2021). 'Metoda rekurzije', Master's thesis, University of Zagreb, Faculty of Science, accessed 29 December 2024, https://urn.nsk.hr/urn:nbn:hr:217:829599

Višić E. Metoda rekurzije [Master's thesis]. Zagreb: University of Zagreb, Faculty of Science; 2021 [cited 2024 December 29] Available at: https://urn.nsk.hr/urn:nbn:hr:217:829599

E. Višić, "Metoda rekurzije", Master's thesis, University of Zagreb, Faculty of Science, Zagreb, 2021. Available at: https://urn.nsk.hr/urn:nbn:hr:217:829599

Metadata
TitleMetoda rekurzije
Title (english)Recursion method
AuthorEmilija Višić
MentorAna Prlić (mentor)
Committee memberAna Prlić (predsjednik povjerenstva)
Committee memberAndrej Dujella (član povjerenstva)
Committee memberFilip Najman (član povjerenstva)
Committee memberVanja Wagner (član povjerenstva)
GranterUniversity of Zagreb
Faculty of Science
(Department of Mathematics)
Zagreb
Defense date and country2021-09-23, Croatia
Scientific / art field,
discipline and subdiscipline		NATURAL SCIENCES
Mathematics
Abstract
Ovaj diplomski rad posvećen je primjeni metode rekurzije u matematici. Rad je podijeljen na pet poglavlja. U prvom poglavlju navedene su definicije rekurzivnih relacija, opisane su poznate rekurzije (aritmetički i geometrijski niz) i riješeni su primjeri u kojima se primjenjuje metoda rekurzije. U drugom poglavlju opisan je postupak rješavanja linearnih rekurzija (homogenih i nehomogenih) s konstantnim koeficijentima koji je prikazan na riješenim primjerima. Također, opisana je i primjena rekurzivnih relacija pri računanju determinanti n–tog reda. Iduća dva poglavlja obuhvaćaju Fibonaccijeve i Catalanove brojeve. U posljednjem poglavlju ovog rada metodom rekurzije riješeno je nekoliko zadataka sa srednjoškolskih natjecanja.
Abstract (english)
This thesis describes the implementation of the recursion in mathematics and it is divided in five chapters. In the first chapter, definitions of recursive relations are stated, important recursions are described (arithmetic and geometric sequence) and several examples using recursion are given. In the second chapter, a procedure for solving linear recursions (homogeneous and non-homogeneous) with constant coefficients is described and several solved examples are shown. In addition, the implementation of the recursion in the calculation of nth order determinants is displayed. The following two chapters cover well-known two recursive relations: Fibonacci and Catalan numbers. Finally, the last chapter of this thesis includes a few solved tasks from high school competition in which recursion is applied.
Keywords
Keywords (english)
Languagecroatian
URN:NBNurn:nbn:hr:217:829599
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 conditionsOpen access
Terms of useLicence In copyright icon
Created on2021-11-09 11:35:30