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undergraduate thesis
Preslikavanje ploha u R3
Osijek: Josip Juraj Strossmayer University of Osijek, Department of Mathematics, 2022. urn:nbn:hr:126:333244
Matošić, Sara
Josip Juraj Strossmayer University of Osijek
Department of Mathematics

Institutional repository: Repository of School of Applied Mathematics and Informatics

Cite this document

Matošić, S. (2022). Preslikavanje ploha u R3 (Undergraduate thesis). Osijek: Josip Juraj Strossmayer University of Osijek, Department of Mathematics. Retrieved from https://urn.nsk.hr/urn:nbn:hr:126:333244

Matošić, Sara. "Preslikavanje ploha u R3." Undergraduate thesis, Josip Juraj Strossmayer University of Osijek, Department of Mathematics, 2022. https://urn.nsk.hr/urn:nbn:hr:126:333244

Matošić, Sara. "Preslikavanje ploha u R3." Undergraduate thesis, Josip Juraj Strossmayer University of Osijek, Department of Mathematics, 2022. https://urn.nsk.hr/urn:nbn:hr:126:333244

Matošić, S. (2022). 'Preslikavanje ploha u R3', Undergraduate thesis, Josip Juraj Strossmayer University of Osijek, Department of Mathematics, accessed 27 December 2024, https://urn.nsk.hr/urn:nbn:hr:126:333244

Matošić S. Preslikavanje ploha u R3 [Undergraduate thesis]. Osijek: Josip Juraj Strossmayer University of Osijek, Department of Mathematics; 2022 [cited 2024 December 27] Available at: https://urn.nsk.hr/urn:nbn:hr:126:333244

S. Matošić, "Preslikavanje ploha u R3", Undergraduate thesis, Josip Juraj Strossmayer University of Osijek, Department of Mathematics, Osijek, 2022. Available at: https://urn.nsk.hr/urn:nbn:hr:126:333244

Metadata
TitlePreslikavanje ploha u R3
Title (english)Mapping of Surfaces in R3
AuthorSara Matošić
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
Geometry and Topology
Abstract
Tema ovog rada je preslikavanje ploha u R^3. U prvom dijelu rada upoznat ćemo se s osnovnim pojmovima potrebnim za daljnu razradu teme kao što su ploha, parametrizacija i reparametrizacija plohe, tangencijalni vektor i metrika na plohi. Nadalje ćemo spomeniti prvu i drugu fundamentalnu formu te fundamentalne veličine prvog i drugog reda. To će nam sve biti potrebno za definiranje raznih zakrivljenosti uključujući Gaussovu i srednju zakrivljenost. Naposljetku ćemo razraditi temu ovog rada te pojasniti tri vrste preslikavanja ploha: izometrijsko, konformno te ekviarealno. Navedeni pojmovi su popraćeni primjerima u kojima je još dodatno pojašnjeno njihovo značenje.
Abstract (english)
The theme of this work is mapping of surfaces in R^3. In the first part of the work we will be introduced with some basic terms which are important for the actual theme such as surface, parametrization, reparametrization, tangent vector and metrics on a surface. Furthermore, we will mention first and second fundamental forms, as well as coefficients of the first and second kind. This will all be needed for defining various curvatures such as Gaussian and mean curvature. At the end of this work three types of mapping of surfaces will be explained.
Keywords
Keywords (english)
Languagecroatian
URN:NBNurn:nbn:hr:126:333244
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 on2022-10-13 11:01:29