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master's thesis
Analitička i numerička integracija
2022. urn:nbn:hr:166:497896
Radić, Marija
University of Split
Faculty of Science
Department of Mathematics

Cite this document

Radić, M. (2022). Analitička i numerička integracija (Master's thesis). Split: University of Split, Faculty of Science. Retrieved from https://urn.nsk.hr/urn:nbn:hr:166:497896

Radić, Marija. "Analitička i numerička integracija." Master's thesis, University of Split, Faculty of Science, 2022. https://urn.nsk.hr/urn:nbn:hr:166:497896

Radić, Marija. "Analitička i numerička integracija." Master's thesis, University of Split, Faculty of Science, 2022. https://urn.nsk.hr/urn:nbn:hr:166:497896

Radić, M. (2022). 'Analitička i numerička integracija', Master's thesis, University of Split, Faculty of Science, accessed 14 November 2024, https://urn.nsk.hr/urn:nbn:hr:166:497896

Radić M. Analitička i numerička integracija [Master's thesis]. Split: University of Split, Faculty of Science; 2022 [cited 2024 November 14] Available at: https://urn.nsk.hr/urn:nbn:hr:166:497896

M. Radić, "Analitička i numerička integracija", Master's thesis, University of Split, Faculty of Science, Split, 2022. Available at: https://urn.nsk.hr/urn:nbn:hr:166:497896

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Metadata
TitleAnalitička i numerička integracija
Title (english)Analytical and numerical integration
AuthorMarija Radić
MentorJurica Perić (mentor)
MentorAna Laštre (pomoć pri izradi, neposredni voditelj)
Committee memberAna Laštre (predsjednik povjerenstva)
Committee memberJurica Perić (član povjerenstva)
Committee memberJelena Pleština (član povjerenstva)
GranterUniversity of Split
Faculty of Science
(Department of Mathematics)
Split
Defense date and country2022-07-19, Croatia
Scientific / art field,
discipline and subdiscipline		NATURAL SCIENCES
Mathematics
Abstract
Ideja ovog diplomskog rada bila je objasniti problem površine, definirati i pokazati kako se mogu riješiti određeni i neodređeni integrali te pokazati kako su oni povezani Newton-Leibnizovom formulom. Postoje neke situacije u kojima nije moguće primijeniti tu formulu kao npr. ako je funkcija koju integriramo poznata samo u pojedinim točkama ili ako je nemoguće pronaći antiderivaciju te funkcije koje integriramo. Za takve situacije postoji numeričko odnosno približno računanje integrala te su neke poznate metode objašnjene u drugom poglavlju kao posebni slučajevi poznatih Newton-Cotesovih formula.
Abstract (english)
The main objective of this master’s thesis is to explain the surface problem, define and say how definite and indefinite integrals can be solved and show how they are connected by the Newton-Leibniz formula. There are some situations where it is not possible to apply that formula, for example, if a function that we are integrating is known only in certain points or if we cannot find the antiderivative of function that we integrate. For such situations there is a numerical or approximate calculation of integrals and some methods are explained in the second chapter as special cases of the well-known Newton-Cotes formulas.
Keywords
Keywords (english)
Languagecroatian
URN:NBNurn:nbn:hr:166:497896
Study programmeTitle: Mathematics; specializations in: major in pure mathematics, major in computing, major in teaching, major in statistics and computing
Course: major in computing
Study programme type: university
Study level: graduate
Academic / professional title: magistar/magistra matematike (magistar/magistra matematike)
Type of resourceText
File originBorn digital
Access conditionsAccess restricted to authenticated users
Terms of useLicence In copyright icon
Created on2022-07-20 08:36:24