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undergraduate thesis
Greenov teorem i primjene
2023. urn:nbn:hr:126:605072
Halgaš, Marina
Josip Juraj Strossmayer University of Osijek
School of Applied Mathematics and Informatics

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Halgaš, M. (2023). Greenov teorem i primjene (Undergraduate thesis). Osijek: Josip Juraj Strossmayer University of Osijek, School of Applied Mathematics and Informatics. Retrieved from https://urn.nsk.hr/urn:nbn:hr:126:605072

Halgaš, Marina. "Greenov teorem i primjene." Undergraduate thesis, Josip Juraj Strossmayer University of Osijek, School of Applied Mathematics and Informatics, 2023. https://urn.nsk.hr/urn:nbn:hr:126:605072

Halgaš, Marina. "Greenov teorem i primjene." Undergraduate thesis, Josip Juraj Strossmayer University of Osijek, School of Applied Mathematics and Informatics, 2023. https://urn.nsk.hr/urn:nbn:hr:126:605072

Halgaš, M. (2023). 'Greenov teorem i primjene', Undergraduate thesis, Josip Juraj Strossmayer University of Osijek, School of Applied Mathematics and Informatics, accessed 13 April 2024, https://urn.nsk.hr/urn:nbn:hr:126:605072

Halgaš M. Greenov teorem i primjene [Undergraduate thesis]. Osijek: Josip Juraj Strossmayer University of Osijek, School of Applied Mathematics and Informatics; 2023 [cited 2024 April 13] Available at: https://urn.nsk.hr/urn:nbn:hr:126:605072

M. Halgaš, "Greenov teorem i primjene", 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:126:605072

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Metadata
TitleGreenov teorem i primjene
Title (english)Green's Theorem And It's Applications
AuthorMarina Halgaš
MentorIvan Soldo (mentor)
GranterJosip Juraj Strossmayer University of Osijek
School of Applied Mathematics and Informatics
Osijek
Defense date and country2023-09-22, Croatia
Scientific / art field,
discipline and subdiscipline		NATURAL SCIENCES
Mathematics
Mathematical Analysis
Abstract
U okviru ovog završnog rada bavit ćemo se Greenovim teoremom i njegovim primjenama. Da bismo došli do samog teorema, ukratko smo naveli i ponovili osnovne pojmove. Najprije smo definirali krivuljne integrale. Nakon iskaza Greenovog teorema, proveli smo njegov dokaz za neke specijalne slučajeve. Zatim smo se dotaknuli najbitnijih pojmova o plohama. Uz Greenov teorem, predstavljen je i teorem o divergenciji te Stokesov teorem kao njegov općenitiji slučaj. Na kraju, u razmatranju primjena, govorili smo o Cauchyjevom teoremu i jednadžbi kontinuiteta.
Abstract (english)
In this paper, we will deal with Green’s theorem and its applications. In order to get to the theorem itself, we briefly stated and repeated the basic terms. First we have defined curve integrals. After stating Green’s theorem, we implemented his proof for some special cases. Then we touched on the most important terms about surfaces. In addition to Green’s theorem, the divergence theorem and Stokes’ theorem were also presented as his more general case. Finally, in considering applications, we referred to Cauchy’s theorem and continuity equation.
Keywords
Keywords (english)
Languagecroatian
URN:NBNurn:nbn:hr:126:605072
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 on2023-10-06 11:29:42