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Gaussovi cijeli brojevi
Ines Petrić (2016)
Josip Juraj Strossmayer University of Osijek
Department of Mathematics
Chair of Pure Mathematics
Algebra and Calculus Research Group
Cite this document

Petrić, I. (2016). Gaussovi cijeli brojevi (Undergraduate thesis). 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 04 April 2020, 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 2020 April 04] 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

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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)
(Algebra and Calculus 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 usehttp://rightsstatements.org/vocab/InC/1.0/
Created on2016-10-17 10:36:28