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undergraduate thesis
Osnovni teorem aritmetike
Osijek: Josip Juraj Strossmayer University of Osijek, Department of Mathematics, 2017. urn:nbn:hr:126:109088
Špiranec, Sara
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 Informatics

Cite this document

Špiranec, S. (2017). Osnovni teorem aritmetike (Undergraduate thesis). Osijek: Josip Juraj Strossmayer University of Osijek, Department of Mathematics. Retrieved from https://urn.nsk.hr/urn:nbn:hr:126:109088

Špiranec, Sara. "Osnovni teorem aritmetike." Undergraduate thesis, Josip Juraj Strossmayer University of Osijek, Department of Mathematics, 2017. https://urn.nsk.hr/urn:nbn:hr:126:109088

Špiranec, Sara. "Osnovni teorem aritmetike." Undergraduate thesis, Josip Juraj Strossmayer University of Osijek, Department of Mathematics, 2017. https://urn.nsk.hr/urn:nbn:hr:126:109088

Špiranec, S. (2017). 'Osnovni teorem aritmetike', Undergraduate thesis, Josip Juraj Strossmayer University of Osijek, Department of Mathematics, accessed 17 November 2024, https://urn.nsk.hr/urn:nbn:hr:126:109088

Špiranec S. Osnovni teorem aritmetike [Undergraduate thesis]. Osijek: Josip Juraj Strossmayer University of Osijek, Department of Mathematics; 2017 [cited 2024 November 17] Available at: https://urn.nsk.hr/urn:nbn:hr:126:109088

S. Špiranec, "Osnovni teorem aritmetike", Undergraduate thesis, Josip Juraj Strossmayer University of Osijek, Department of Mathematics, Osijek, 2017. Available at: https://urn.nsk.hr/urn:nbn:hr:126:109088

Metadata
TitleOsnovni teorem aritmetike
Title (english)Fundamental Theorem of Arithmetic
AuthorSara Špiranec
MentorIvan Soldo (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 country2017-09-26, Croatia
Scientific / art field,
discipline and subdiscipline		NATURAL SCIENCES
Mathematics
Algebra
Abstract
Tema ovog završnog rada bila je osnovni teorem aritmetike. U prvom dijelu rada upoznajemo se s osnovnim strukturama brojeva koje su nam potrebne za daljnju razradu osnovnog teorema aritmetike. Također, potreban nam je pojam djeljivosti u skupu cijelih bojeva te prosti brojevi koje uvodimo neposredno nakon podjele brojeva na prirodne i cijele. Zatim, uz pomoć prostih brojeva navodimo osnovni teorem aritmetike i njegov dokaz. Teorem je vrlo koristan rezultat u matematici. Primjenjuje se u mnogim područjima teorije brojeva. Veoma je važan u raznim primjenama kongruencija, kao i u primjeni metoda za šifriranje i dešifriranje poruka kojima se bavi znanstvena disciplina kriptografija.
Abstract (english)
The theme of this nal work was the fundamental theorem of arithmetic. In the rst part of the paper, we will get acquainted with the basic structure of numbers that we need to further elaborate the fundamental theorem of arithmetic. Also, we need the notion of divisibility in the set of whole numbers and the prime numbers that we introduce immediately after the division of numbers into the natural and the whole. Then, with the help of prime numbers, we state the fundamental theorem of arithmetic and its proof. The theorem is a very useful result in mathematics. Applies to many areas of the theory of numbers. It is very important in various applications of congruence, as well as in the application of methods for encryption and decryption of messages dealing with scientic discipline cryptography.
Keywords
Keywords (english)
Languagecroatian
URN:NBNurn:nbn:hr:126:109088
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 on2017-10-23 07:41:04