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master's thesis
Razlomački skupovi
Zagreb: University of Zagreb, Faculty of Science, 2020. urn:nbn:hr:217:538998
Crevar, Renata
University of Zagreb
Faculty of Science
Department of Mathematics

Institutional repository: Repository of the Faculty of Science

Cite this document

Crevar, R. (2020). Razlomački skupovi (Master's thesis). Zagreb: University of Zagreb, Faculty of Science. Retrieved from https://urn.nsk.hr/urn:nbn:hr:217:538998

Crevar, Renata. "Razlomački skupovi." Master's thesis, University of Zagreb, Faculty of Science, 2020. https://urn.nsk.hr/urn:nbn:hr:217:538998

Crevar, Renata. "Razlomački skupovi." Master's thesis, University of Zagreb, Faculty of Science, 2020. https://urn.nsk.hr/urn:nbn:hr:217:538998

Crevar, R. (2020). 'Razlomački skupovi', Master's thesis, University of Zagreb, Faculty of Science, accessed 29 May 2024, https://urn.nsk.hr/urn:nbn:hr:217:538998

Crevar R. Razlomački skupovi [Master's thesis]. Zagreb: University of Zagreb, Faculty of Science; 2020 [cited 2024 May 29] Available at: https://urn.nsk.hr/urn:nbn:hr:217:538998

R. Crevar, "Razlomački skupovi", Master's thesis, University of Zagreb, Faculty of Science, Zagreb, 2020. Available at: https://urn.nsk.hr/urn:nbn:hr:217:538998

Metadata
TitleRazlomački skupovi
AuthorRenata Crevar
MentorTomislav Pejković (mentor)
Committee memberTomislav Pejković (predsjednik povjerenstva)
Committee memberVedran Krčadinac (član povjerenstva)
Committee memberZvonimir Bujanović (član povjerenstva)
Committee memberRobert Manger (član povjerenstva)
GranterUniversity of Zagreb
Faculty of Science
(Department of Mathematics)
Zagreb
Defense date and country2020-07-20, Croatia
Scientific / art field,
discipline and subdiscipline		NATURAL SCIENCES
Mathematics
Abstract
Razlomački skup je skup kojeg dobivamo kada uzmemo kvocijent svakog para elemenata danog podskupa skupa prirodnih brojeva. Neka je \(A \subseteq \mathbb{N}\) podskup skupa prirodnih brojeva. Tada je \(R(A)=\{a / b: a, b \in A\}\) njemu pridruženi razlomački skup. Ovaj diplomski rad sadrži tri poglavlja. U prvom poglavlju izlažemo osnovne pojmove i rezultate iz teorije brojeva koji se koriste u nastavku rada. U drugom poglavlju iskazujemo i dokazujemo četiri zanimljiva teorema o razlomačkim skupovima u realnim brojevima. U zadnjem poglavlju ovog rada promatramo razlomačke skupove u \(p\)-adskim brojevima, gdje je \(p\) neki prost broj.
Abstract (english)
A quotient set is the set we get when we take the quotient of each pair of the elements of a given subset of a set of positive integers. Let \(A \subseteq \mathbb{N}\) be a subset of the set of positive integers. Then \(R(A)=\{a / b: a, b \in A\}\) denotes the corresponding quotient set. This graduate thesis is divided into three chapters. In the first chapter we give some of the fundamental terms and results from the theory of numbers used throughout the rest of the thesis. In the second chapter we state and prove four interesting theorems about quotient sets in real numbers. In the last chapter of this thesis, we study quotient sets in \(p\)-adic numbers, where \(p\) is some prime number.
Keywords
Keywords (english)
Languagecroatian
URN:NBNurn:nbn:hr:217:538998
Study programmeTitle: Mathematical Statistics
Study programme type: university
Study level: graduate
Academic / professional title: magistar/magistra matematike (magistar/magistra matematike)
Type of resourceText
File originBorn digital
Access conditionsOpen access
Terms of useLicence In copyright icon
Created on2020-12-22 11:57:13