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undergraduate thesis
Gaussovi cijeli brojevi
Osijek: Josip Juraj Strossmayer University of Osijek, Department of Mathematics, 2016. urn:nbn:hr:126:587525
Petrić, Ines
Josip Juraj Strossmayer University of Osijek
Department of Mathematics
Chair of Pure Mathematics and Mathematics Teaching
Algebra, Analysis and Number Theory Research Group

Institutional repository: Repository of School of Applied Mathematics and Computer Science

Cite this document

Petrić, I. (2016). Gaussovi cijeli brojevi (Undergraduate thesis). Osijek: Josip Juraj Strossmayer University of Osijek, Department of Mathematics. Retrieved from https://urn.nsk.hr/urn:nbn:hr:126:587525

Petrić, Ines. "Gaussovi cijeli brojevi." Undergraduate thesis, Josip Juraj Strossmayer University of Osijek, Department of Mathematics, 2016. https://urn.nsk.hr/urn:nbn:hr:126:587525

Petrić, Ines. "Gaussovi cijeli brojevi." Undergraduate thesis, Josip Juraj Strossmayer University of Osijek, Department of Mathematics, 2016. https://urn.nsk.hr/urn:nbn:hr:126:587525

Petrić, I. (2016). 'Gaussovi cijeli brojevi', Undergraduate thesis, Josip Juraj Strossmayer University of Osijek, Department of Mathematics, accessed 26 June 2024, https://urn.nsk.hr/urn:nbn:hr:126:587525

Petrić I. Gaussovi cijeli brojevi [Undergraduate thesis]. Osijek: Josip Juraj Strossmayer University of Osijek, Department of Mathematics; 2016 [cited 2024 June 26] Available at: https://urn.nsk.hr/urn:nbn:hr:126:587525

I. Petrić, "Gaussovi cijeli brojevi", Undergraduate thesis, Josip Juraj Strossmayer University of Osijek, Department of Mathematics, Osijek, 2016. Available at: https://urn.nsk.hr/urn:nbn:hr:126:587525

Metadata
TitleGaussovi cijeli brojevi
Title (english)Gaussian Integers
AuthorInes Petrić
MentorMirela Jukić Bokun (mentor)
GranterJosip Juraj Strossmayer University of Osijek
Department of Mathematics
(Chair of Pure Mathematics and Mathematics Teaching)
(Algebra, Analysis and Number Theory Research Group)
Osijek
Defense date and country2016-09-28, Croatia
Scientific / art field,
discipline and subdiscipline		NATURAL SCIENCES
Mathematics
Algebra
Abstract
U ovom radu bavit ćemo se Gaussovim cijelim brojevima. Reći ćemo nešto općenito o tom skupu, definirat ćemo normu i navesti invertibilne elemente. Takoder ćemo reći nešto o djeljivosti u skupu Gaussovih cijelih brojeva gdje ćemo iskazat važan Teorem o dijeljenju s ostatkom, Euklidov algoritam i Bezoutov teorem. Na kraju ćemo se upoznati s faktorizacijom Gaussovih cijelih brojeva i vidjeti njihovu primjenu.
Abstract (english)
In this article we will cover the Gaussian integers. We will say something in general about this set, define the norm and specify invertible elements. Also, we will say something about divisibility in Z[i] where we will demonstrate an important the Divison theorem, Euclidean algorithm and Bezout’s theorem. We will get acquainted with the factorization of Gaussian integers and see some of their application.
Keywords
Keywords (english)
Languagecroatian
URN:NBNurn:nbn:hr:126:587525
Study programmeTitle: University undergraduate study programme in mathematics
Study programme type: university
Study level: undergraduate
Academic / professional title: sveučilišni/a prvostupnik/prvostupnica (baccalaureus/baccalaurea) matematike (sveučilišni/a prvostupnik/prvostupnica (baccalaureus/baccalaurea) matematike)
Type of resourceText
File originBorn digital
Access conditionsOpen access
Terms of useLicence In copyright icon
Created on2016-10-17 10:36:28