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undergraduate thesis
Osnovni algoritmi teorije brojeva
Osijek: Josip Juraj Strossmayer University of Osijek, Department of Mathematics, 2019. urn:nbn:hr:126:851954
Guskić, Ivona
Josip Juraj Strossmayer University of Osijek
Department of Mathematics
Chair of Pure Mathematics and Mathematics Teaching
Algebra, Analysis and Number Theory Research Group

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Guskić, I. (2019). Osnovni algoritmi teorije brojeva (Undergraduate thesis). Osijek: Josip Juraj Strossmayer University of Osijek, Department of Mathematics. Retrieved from https://urn.nsk.hr/urn:nbn:hr:126:851954

Guskić, Ivona. "Osnovni algoritmi teorije brojeva." Undergraduate thesis, Josip Juraj Strossmayer University of Osijek, Department of Mathematics, 2019. https://urn.nsk.hr/urn:nbn:hr:126:851954

Guskić, Ivona. "Osnovni algoritmi teorije brojeva." Undergraduate thesis, Josip Juraj Strossmayer University of Osijek, Department of Mathematics, 2019. https://urn.nsk.hr/urn:nbn:hr:126:851954

Guskić, I. (2019). 'Osnovni algoritmi teorije brojeva', Undergraduate thesis, Josip Juraj Strossmayer University of Osijek, Department of Mathematics, accessed 27 September 2023, https://urn.nsk.hr/urn:nbn:hr:126:851954

Guskić I. Osnovni algoritmi teorije brojeva [Undergraduate thesis]. Osijek: Josip Juraj Strossmayer University of Osijek, Department of Mathematics; 2019 [cited 2023 September 27] Available at: https://urn.nsk.hr/urn:nbn:hr:126:851954

I. Guskić, "Osnovni algoritmi teorije brojeva", Undergraduate thesis, Josip Juraj Strossmayer University of Osijek, Department of Mathematics, Osijek, 2019. Available at: https://urn.nsk.hr/urn:nbn:hr:126:851954

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Metadata
TitleOsnovni algoritmi teorije brojeva
Title (english)Basic Algorithms in Number Theory
AuthorIvona Guskić
MentorIvan Matić (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 country2019-09-27, Croatia
Scientific / art field,
discipline and subdiscipline		NATURAL SCIENCES
Mathematics
Other Mathematical Disciplines
Abstract
U ovom završnom radu bavimo se algoritmima u teoriji brojeva. Navesti ćemo osnovne teoreme i dokaze potrebne za shvaćanje i implementaciju tih algoritama. Pokazati ćemo novi način zapisa brojeva u računalima kako bi se mogle odvijati osnovne aritmetičke operacije sa velikim cijelim brojevima. Na kraju ćemo dati efikasnu implementaciju Euklidovog algoritma i Kineskog teorema o ostacima u pseudojeziku.
Abstract (english)
In this paper we deal with algorithms in number theory. We will present basic theorems and proofs necessary for understanding and implementation of those algorithms. We will show a new way of storing numbers in a computer so we can do basic arithmetic with large integers. In the end, we will give an efficient implementation of Euclidean algortihm and of the Chinese remainder theorem in pseudocode.
Keywords
Keywords (english)
Languagecroatian
URN:NBNurn:nbn:hr:126:851954
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
RepositoryRepository of School of Applied Mathematics and Computer Science
Created on2019-10-31 08:12:39