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undergraduate thesis
Kvadratne forme
Osijek: Josip Juraj Strossmayer University of Osijek, Faculty of Applied Mathematics and Informatics, 2023. urn:nbn:hr:126:134917
Vomš, Martina
Josip Juraj Strossmayer University of Osijek
School of Applied Mathematics and Informatics

Institutional repository: Repository of School of Applied Mathematics and Informatics

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Vomš, M. (2023). Kvadratne forme (Undergraduate thesis). Osijek: Josip Juraj Strossmayer University of Osijek, School of Applied Mathematics and Informatics. Retrieved from https://urn.nsk.hr/urn:nbn:hr:126:134917

Vomš, Martina. "Kvadratne forme." Undergraduate thesis, Josip Juraj Strossmayer University of Osijek, School of Applied Mathematics and Informatics, 2023. https://urn.nsk.hr/urn:nbn:hr:126:134917

Vomš, Martina. "Kvadratne forme." Undergraduate thesis, Josip Juraj Strossmayer University of Osijek, School of Applied Mathematics and Informatics, 2023. https://urn.nsk.hr/urn:nbn:hr:126:134917

Vomš, M. (2023). 'Kvadratne forme', Undergraduate thesis, Josip Juraj Strossmayer University of Osijek, School of Applied Mathematics and Informatics, accessed 17 November 2024, https://urn.nsk.hr/urn:nbn:hr:126:134917

Vomš M. Kvadratne forme [Undergraduate thesis]. Osijek: Josip Juraj Strossmayer University of Osijek, School of Applied Mathematics and Informatics; 2023 [cited 2024 November 17] Available at: https://urn.nsk.hr/urn:nbn:hr:126:134917

M. Vomš, "Kvadratne forme", Undergraduate thesis, Josip Juraj Strossmayer University of Osijek, School of Applied Mathematics and Informatics, Osijek, 2023. Available at: https://urn.nsk.hr/urn:nbn:hr:126:134917

Metadata
TitleKvadratne forme
Title (english)Quadratic Forms
AuthorMartina Vomš
MentorMirela Jukić Bokun (mentor)
GranterJosip Juraj Strossmayer University of Osijek
School of Applied Mathematics and Informatics
Osijek
Defense date and country2023-09-26, Croatia
Scientific / art field,
discipline and subdiscipline		NATURAL SCIENCES
Mathematics
Mathematical Analysis
Abstract
Kvadratna forma je homogeni polinom drugog stupnja od n varijabli, gdje je n ∈ N. U ovom radu bavit ćemo se kvadratnim formama za koje je n = 2 i n = 3, tj. binarnim i ternarnim kvadratnim formama. Najprije ćemo uvesti pojam kvadratnih formi te ćemo se zatim baviti binarnim kvadratnim formama, gdje ćemo nešto više reći o ekvivalentnim i reduciranim kvadratnim formama. Dobivene rezultate primjenit ćemo na nekoliko primjera, kao i na sume dva i četiri kvadrata. Na kraju ćemo se baviti ternarnim kvadratnim formama, tj. njihovim svojstvima i primjenama na sume triju kvadrata.
Abstract (english)
The quadratic form is homogeneous polynomial of the second degree of n variables, where n ∈ Z. In this paper we will deal with quadratic forms for which n = 2 and n = 3, i.e. binary and ternary quadratic forms. First, we will introduce the concept of quadratic forms, and then we will deal with binary quadratic forms, where we will say something more about equivalent and reduced quadratic forms. We will apply the obtained results to several examples, as well to sums of two and four squares. In the end, we will deal with ternary quadratic forms, i.e. their properties and applications to sums of three squares.
Keywords
Keywords (english)
Languagecroatian
URN:NBNurn:nbn:hr:126:134917
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 on2023-10-09 08:13:28