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master's thesis
Gaussovi cijeli brojevi
Zagreb: University of Zagreb, Faculty of Science, 2022. urn:nbn:hr:217:493442
Novotny, Martina
University of Zagreb
Faculty of Science
Department of Mathematics

Institutional repository: Repository of the Faculty of Science

Cite this document

Novotny, M. (2022). Gaussovi cijeli brojevi (Master's thesis). Zagreb: University of Zagreb, Faculty of Science. Retrieved from https://urn.nsk.hr/urn:nbn:hr:217:493442

Novotny, Martina. "Gaussovi cijeli brojevi." Master's thesis, University of Zagreb, Faculty of Science, 2022. https://urn.nsk.hr/urn:nbn:hr:217:493442

Novotny, Martina. "Gaussovi cijeli brojevi." Master's thesis, University of Zagreb, Faculty of Science, 2022. https://urn.nsk.hr/urn:nbn:hr:217:493442

Novotny, M. (2022). 'Gaussovi cijeli brojevi', Master's thesis, University of Zagreb, Faculty of Science, accessed 05 May 2024, https://urn.nsk.hr/urn:nbn:hr:217:493442

Novotny M. Gaussovi cijeli brojevi [Master's thesis]. Zagreb: University of Zagreb, Faculty of Science; 2022 [cited 2024 May 05] Available at: https://urn.nsk.hr/urn:nbn:hr:217:493442

M. Novotny, "Gaussovi cijeli brojevi", Master's thesis, University of Zagreb, Faculty of Science, Zagreb, 2022. Available at: https://urn.nsk.hr/urn:nbn:hr:217:493442

Metadata
TitleGaussovi cijeli brojevi
Title (english)Gaussian integers
AuthorMartina Novotny
MentorZrinka Franušić (mentor)
Committee memberZrinka Franušić (predsjednik povjerenstva)
Committee memberŽeljko Skoko (član povjerenstva)
Committee memberAndrej Dujella (član povjerenstva)
Committee memberNela Bosner (član povjerenstva)
Committee memberDarko Androić (član povjerenstva)
GranterUniversity of Zagreb
Faculty of Science
(Department of Mathematics)
Zagreb
Defense date and country2022-07-21, Croatia
Scientific / art field,
discipline and subdiscipline		NATURAL SCIENCES
Mathematics
Abstract
Skup Gaussovih cijelih brojeva označavamo sa \(\mathbb{Z}[i]=\{a+bi:a,b\in\}\) i on čini komutativni prsten s jedinicom s obzirom na zbrajanje i množenje kompleksnih brojeva. U radu se obrađuju standardne teme kao što su djeljivost, Gaussovi prosti brojevi, veza sa sumama kvadrata, Euklidov algoritam, jedinstvena faktorizacija, itd. Poseban je naglasak na vizualnim iterpretacijama i ilustracijama koje su izvedene pomoću \({GeoGebre}\).
Abstract (english)
The set of Gaussian integers is denoted by \(\mathbb{Z}[i]=\{a+bi:a,b\in\}\) and it forms a commutative ring with the unit in regard to addition and multiplication of complex numbers. The thesis deals with standard topics such as divisibility, Gaussian prime numbers, connection to the sums of squares, Euclid's algorithm, unique factorization, etc. There is a special emphasis on the visual interpretations and illustrations that were performed using \({GeoGebra}\).
Keywords
Keywords (english)
Languagecroatian
URN:NBNurn:nbn:hr:217:493442
Study programmeTitle: Mathematics and Physics Education; specializations in: Mathematics and Physics Education
Course: Mathematics and Physics Education
Study programme type: university
Study level: integrated undergraduate and graduate
Academic / professional title: magistar/magistra edukacije matematike i fizike (magistar/magistra edukacije matematike i fizike)
Type of resourceText
File originBorn digital
Access conditionsOpen access
Terms of useLicence In copyright icon
Created on2022-09-16 11:40:41