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undergraduate thesis
Kvadratne forme
Osijek: Josip Juraj Strossmayer University of Osijek, Department of Mathematics, 2022. urn:nbn:hr:126:418621
Kurtović, Marija
Josip Juraj Strossmayer University of Osijek
Department of Mathematics

Institutional repository: Repository of School of Applied Mathematics and Informatics

Cite this document

Kurtović, M. (2022). Kvadratne forme (Undergraduate thesis). Osijek: Josip Juraj Strossmayer University of Osijek, Department of Mathematics. Retrieved from https://urn.nsk.hr/urn:nbn:hr:126:418621

Kurtović, Marija. "Kvadratne forme." Undergraduate thesis, Josip Juraj Strossmayer University of Osijek, Department of Mathematics, 2022. https://urn.nsk.hr/urn:nbn:hr:126:418621

Kurtović, Marija. "Kvadratne forme." Undergraduate thesis, Josip Juraj Strossmayer University of Osijek, Department of Mathematics, 2022. https://urn.nsk.hr/urn:nbn:hr:126:418621

Kurtović, M. (2022). 'Kvadratne forme', Undergraduate thesis, Josip Juraj Strossmayer University of Osijek, Department of Mathematics, accessed 24 November 2024, https://urn.nsk.hr/urn:nbn:hr:126:418621

Kurtović M. Kvadratne forme [Undergraduate thesis]. Osijek: Josip Juraj Strossmayer University of Osijek, Department of Mathematics; 2022 [cited 2024 November 24] Available at: https://urn.nsk.hr/urn:nbn:hr:126:418621

M. Kurtović, "Kvadratne forme", Undergraduate thesis, Josip Juraj Strossmayer University of Osijek, Department of Mathematics, Osijek, 2022. Available at: https://urn.nsk.hr/urn:nbn:hr:126:418621

Metadata
TitleKvadratne forme
Title (english)Quadratic Forms
AuthorMarija Kurtović
MentorLjiljana Primorac Gajčić (mentor)
GranterJosip Juraj Strossmayer University of Osijek
Department of Mathematics
Osijek
Defense date and country2022-09-30, Croatia
Scientific / art field,
discipline and subdiscipline		NATURAL SCIENCES
Mathematics
Algebra
Abstract
Kroz ovaj rad upoznajemo se s temom kvadratnih formi pri čemu naglasak stavljamo na rad s kvadratnim formama dviju varijabli. Na samom početku definirane su kvadratne forme, te je pokazana njihova uska veza sa simetričnim operatorima. Osim toga, pomoću priložene definicije i kriterija za ispitivanje definitnosti istih, saznajemo kako odrediti je li kvadratna forma definitna, indefinitna, semidefinitna, pozitivno definitna, pozitivno semidefinitna, negativno definitna ili pak negativno semidefinitna. Ukratko su, na sličan način opisane i kvadratne forme triju varijabli. U radu je analizirana veza kvadratnih formi dviju, odnosno triju varijabli, s krivuljama, odnosno plohama drugog reda. Sva navedena teorija ilustrirana je odgovarajućim primjerima.
Abstract (english)
Throughout this final work we are getting to know the theory of quadratic forms, although the emphasis is put on quadratic forms with two variables. In the beginning, we define them and show their close connection with symmetrical operators. Besides that, with the help of given definition and criteria for testing their definiteness, we are able to find whether quadratic form is definite, indefinite, semi-definite, positive definite, positive semi-definite, negative definite or negative semi-definite. Similarly to that, we are shortly defining and analysing quadratic forms with three variables. Further on, we are dealing with quadratic forms with two and three variables, and analysing their connection with second order curves and surfaces. In addition, we present examples throughout, related to particular section.
Keywords
Keywords (english)
Languagecroatian
URN:NBNurn:nbn:hr:126:418621
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 on2022-10-07 12:02:13