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undergraduate thesis
Sustavi linearnih kongruencija
2024. urn:nbn:hr:126:881522
Karajko, Stjepan
Josip Juraj Strossmayer University of Osijek
School of Applied Mathematics and Informatics

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Karajko, S. (2024). Sustavi linearnih kongruencija (Undergraduate thesis). Osijek: Josip Juraj Strossmayer University of Osijek, School of Applied Mathematics and Informatics. Retrieved from https://urn.nsk.hr/urn:nbn:hr:126:881522

Karajko, Stjepan. "Sustavi linearnih kongruencija." Undergraduate thesis, Josip Juraj Strossmayer University of Osijek, School of Applied Mathematics and Informatics, 2024. https://urn.nsk.hr/urn:nbn:hr:126:881522

Karajko, Stjepan. "Sustavi linearnih kongruencija." Undergraduate thesis, Josip Juraj Strossmayer University of Osijek, School of Applied Mathematics and Informatics, 2024. https://urn.nsk.hr/urn:nbn:hr:126:881522

Karajko, S. (2024). 'Sustavi linearnih kongruencija', Undergraduate thesis, Josip Juraj Strossmayer University of Osijek, School of Applied Mathematics and Informatics, accessed 15 February 2025, https://urn.nsk.hr/urn:nbn:hr:126:881522

Karajko S. Sustavi linearnih kongruencija [Undergraduate thesis]. Osijek: Josip Juraj Strossmayer University of Osijek, School of Applied Mathematics and Informatics; 2024 [cited 2025 February 15] Available at: https://urn.nsk.hr/urn:nbn:hr:126:881522

S. Karajko, "Sustavi linearnih kongruencija", Undergraduate thesis, Josip Juraj Strossmayer University of Osijek, School of Applied Mathematics and Informatics, Osijek, 2024. Available at: https://urn.nsk.hr/urn:nbn:hr:126:881522

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Metadata
TitleSustavi linearnih kongruencija
Title (english)Systems of Linear Congruences
AuthorStjepan Karajko
MentorIvan Matić (mentor)
GranterJosip Juraj Strossmayer University of Osijek
School of Applied Mathematics and Informatics
Osijek
Defense date and country2024-09-05, Croatia
Scientific / art field,
discipline and subdiscipline		NATURAL SCIENCES
Mathematics
Other Mathematical Disciplines
Abstract
U ovome radu bavimo se sustavima linearnih kongruencija. Najprije uvodimo pojmove djeljivosti i kongruencija, elementarne pojmove teorije brojeva, te navodimo njihova osnovna svojstva. Nakon toga uvodimo linearne kongruencije i temeljne rezultate koji nam daju postupak za njihovo rješavanje koji kasnije primjenjujemo na sustave linearnih kongruencija. Zatim, dolazimo do sustava linearnih kongruencija za koje navodimo i dokazujemo jedan od najbitnijih rezultata pomoću kojega rješavamo takve sustave, kao i druge metode rješavanja. Na kraju se bavimo 2 × 2 linearnim sustavima.
Abstract (english)
In this paper, we deal with systems of linear congruences. First, we introduce the concepts of divisibility and congruence, elementary concepts of number theory, and state their basic characteristics. Subsequently, we introduce linear congruences and fundamental results that give us a procedure for solving them, which we later apply to systems of linear congruences. Afterwards, we come to systems of linear congruences for which we state and prove one of the most important results by means of which we solve such systems, as well as other solving methods. Finally, we deal with 2 × 2 linear systems.
Keywords
Keywords (english)
Languagecroatian
URN:NBNurn:nbn:hr:126:881522
Study programmeTitle: University Bachelor of Mathematics (univ. bacc. math.)
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 on2024-09-13 06:20:04