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master's thesis
Lokalna teorija krivulja u trodimenzionalnom Minkowskijem prostoru
2023. urn:nbn:hr:126:050424
Đuzel, Monika
Josip Juraj Strossmayer University of Osijek
Department of Mathematics

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Đuzel, M. (2023). Lokalna teorija krivulja u trodimenzionalnom Minkowskijem prostoru (Master's thesis). Osijek: Josip Juraj Strossmayer University of Osijek, Department of Mathematics. Retrieved from https://urn.nsk.hr/urn:nbn:hr:126:050424

Đuzel, Monika. "Lokalna teorija krivulja u trodimenzionalnom Minkowskijem prostoru." Master's thesis, Josip Juraj Strossmayer University of Osijek, Department of Mathematics, 2023. https://urn.nsk.hr/urn:nbn:hr:126:050424

Đuzel, Monika. "Lokalna teorija krivulja u trodimenzionalnom Minkowskijem prostoru." Master's thesis, Josip Juraj Strossmayer University of Osijek, Department of Mathematics, 2023. https://urn.nsk.hr/urn:nbn:hr:126:050424

Đuzel, M. (2023). 'Lokalna teorija krivulja u trodimenzionalnom Minkowskijem prostoru', Master's thesis, Josip Juraj Strossmayer University of Osijek, Department of Mathematics, accessed 22 December 2024, https://urn.nsk.hr/urn:nbn:hr:126:050424

Đuzel M. Lokalna teorija krivulja u trodimenzionalnom Minkowskijem prostoru [Master's thesis]. Osijek: Josip Juraj Strossmayer University of Osijek, Department of Mathematics; 2023 [cited 2024 December 22] Available at: https://urn.nsk.hr/urn:nbn:hr:126:050424

M. Đuzel, "Lokalna teorija krivulja u trodimenzionalnom Minkowskijem prostoru", Master's thesis, Josip Juraj Strossmayer University of Osijek, Department of Mathematics, Osijek, 2023. Available at: https://urn.nsk.hr/urn:nbn:hr:126:050424

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Metadata
TitleLokalna teorija krivulja u trodimenzionalnom Minkowskijem prostoru
Title (english)Local Theory of Curves in Three-Dimensional Minkowski Space
AuthorMonika Đuzel
MentorLjiljana Primorac Gajčić (mentor)
Committee memberIvan Soldo (predsjednik povjerenstva)
Committee memberLjiljana Primorac Gajčić (član povjerenstva)
Committee memberIvan Matić (član povjerenstva)
GranterJosip Juraj Strossmayer University of Osijek
Department of Mathematics
Osijek
Defense date and country2023-06-29, Croatia
Scientific / art field,
discipline and subdiscipline		NATURAL SCIENCES
Mathematics
Other Mathematical Disciplines
Abstract
Tema ovog rada su krivulje u trodimenzionalnom Minkowskijevom prostoru, odnosno njihova lokalna teorija. Navedena je definicija Minkowskijevog prostora i motivacija za njegovo definiranje, te su kroz rad isticane bitne razlike između euklidskog i Minkowskijevog prostora. U radu su analizirane tri klase krivulja koje razlikujemo i za svaku klasu krivulja je definiran Frenetov trobrid, te zakrivljenost i torzija krivulje koje krivulje određuju na jedinstven način. Specijalna pažnja je posvećena ravninskim krivuljama, odnosno općim cilindričnim spiralama i njihovoj karakterizaciji. Navedeni su i brojni primjeri krivulja, čiji su grafički prikazi izrađeni pomoću programa Mathematica.
Abstract (english)
The topic of this work are curves in the three-dimensional Minkowski space, that is, their local theory. The definition of Minkowski space and the motivation for its definition are given. Throughout the work the main differences between the Euclidean and Minkowski space were emphasized. We analyzed curves from three different classes and for each of them we derived its Frenet frame, the curvature and torsion which determine a curve in a unique way. Special attention is paid to planar curves, as well as generalized helices and their characterization. There are also numerous examples of curves, whose graphic representations were made by the Mathematica software.
Keywords
Keywords (english)
Languagecroatian
URN:NBNurn:nbn:hr:126:050424
Study programmeTitle: Mathematics; specializations in: Financial and Statistical Mathematics, Mathematics and Computer Science, Industrial and Applied Mathematics
Course: Financial and Statistical Mathematics
Study programme type: university
Study level: graduate
Academic / professional title: magistar/magistra matematike (magistar/magistra matematike)
Type of resourceText
File originBorn digital
Access conditionsOpen access
Terms of useLicence In copyright icon
Created on2023-06-29 11:51:24