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master's thesis
Rekurzivnost realnih funkcija
Zagreb: University of Zagreb, Faculty of Science, 2015. urn:nbn:hr:217:913875
Šore, Ivana
University of Zagreb
Faculty of Science
Department of Mathematics

Institutional repository: Repository of the Faculty of Science

Cite this document

Šore, I. (2015). Rekurzivnost realnih funkcija (Master's thesis). Zagreb: University of Zagreb, Faculty of Science. Retrieved from https://urn.nsk.hr/urn:nbn:hr:217:913875

Šore, Ivana. "Rekurzivnost realnih funkcija." Master's thesis, University of Zagreb, Faculty of Science, 2015. https://urn.nsk.hr/urn:nbn:hr:217:913875

Šore, Ivana. "Rekurzivnost realnih funkcija." Master's thesis, University of Zagreb, Faculty of Science, 2015. https://urn.nsk.hr/urn:nbn:hr:217:913875

Šore, I. (2015). 'Rekurzivnost realnih funkcija', Master's thesis, University of Zagreb, Faculty of Science, accessed 23 November 2024, https://urn.nsk.hr/urn:nbn:hr:217:913875

Šore I. Rekurzivnost realnih funkcija [Master's thesis]. Zagreb: University of Zagreb, Faculty of Science; 2015 [cited 2024 November 23] Available at: https://urn.nsk.hr/urn:nbn:hr:217:913875

I. Šore, "Rekurzivnost realnih funkcija", Master's thesis, University of Zagreb, Faculty of Science, Zagreb, 2015. Available at: https://urn.nsk.hr/urn:nbn:hr:217:913875

Metadata
TitleRekurzivnost realnih funkcija
AuthorIvana Šore
MentorZvonko Iljazović (mentor)
Committee memberZvonko Iljazović (predsjednik povjerenstva)
Committee memberBoris Širola (član povjerenstva)
Committee memberSiniša Slijepčević (član povjerenstva)
Committee memberMiljenko Huzak (član povjerenstva)
GranterUniversity of Zagreb
Faculty of Science
(Department of Mathematics)
Zagreb
Defense date and country2015-09-25, Croatia
Scientific / art field,
discipline and subdiscipline		NATURAL SCIENCES
Mathematics
Abstract
U ovom diplomskom radu proučavali smo rekurzivne funkcije \(\mathbb{N}^k \to \mathbb{R}\). Rad je podijeljen na tri poglavlja. U prvom poglavlju definirali smo pojmove rekurzivne funkcije \(\mathbb{N}^k \to \mathbb{N}\), primitivno rekurzivne funkcije i rekurzivnog skupa te proučavali njihova svojstva. U drugom poglavlju definirali smo rekurzivne racionalne funkcije i dokazali neke rezultate vezane za te funkcije. U trećem poglavlju definirali smo rekurzivne realne funkcije te s tim u vezi proučavali, između ostalog, rekurzivne aproksimacije, funkciju \(\sqrt{f}\) i relaciju \(f(x, y)>0\). Također smo definirali i pojam rekurzivnog realnog broja te dokazali neke tvrdnje vezane uz rekurzivne brojeve.
Abstract (english)
In this diploma thesis we have studied recursive functions \(\mathbb{N}^k \to \mathbb{R}\). The thesis is divided into three chapters. In the first chapter we have defined the notions of a recursive function \(\mathbb{N}^k \to \mathbb{N}\), a primitive recursive function and a recursive set and we have studied their properties. In the second chapter we have defined recursive rational functions and we have proved some results regarding these functions. In the third chapter we have defined recursive real functions and related to this we have examined, among others, recursive approximations, a function \(\sqrt{f}\) and relation \(f(x, y)>0\). We have also defined the notion of a recursive real number and we have proved some claims related to recursive numbers.
Keywords
Keywords (english)
Languagecroatian
URN:NBNurn:nbn:hr:217:913875
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 on2019-02-13 13:53:24