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master's thesis
Primjena matematičke analize u ekonomiji
Zagreb: University of Zagreb, Faculty of Science, 2021. urn:nbn:hr:217:227433
Božinović, Mihaela
University of Zagreb
Faculty of Science
Department of Mathematics

Institutional repository: Repository of the Faculty of Science

Cite this document

Božinović, M. (2021). Primjena matematičke analize u ekonomiji (Master's thesis). Zagreb: University of Zagreb, Faculty of Science. Retrieved from https://urn.nsk.hr/urn:nbn:hr:217:227433

Božinović, Mihaela. "Primjena matematičke analize u ekonomiji." Master's thesis, University of Zagreb, Faculty of Science, 2021. https://urn.nsk.hr/urn:nbn:hr:217:227433

Božinović, Mihaela. "Primjena matematičke analize u ekonomiji." Master's thesis, University of Zagreb, Faculty of Science, 2021. https://urn.nsk.hr/urn:nbn:hr:217:227433

Božinović, M. (2021). 'Primjena matematičke analize u ekonomiji', Master's thesis, University of Zagreb, Faculty of Science, accessed 23 December 2024, https://urn.nsk.hr/urn:nbn:hr:217:227433

Božinović M. Primjena matematičke analize u ekonomiji [Master's thesis]. Zagreb: University of Zagreb, Faculty of Science; 2021 [cited 2024 December 23] Available at: https://urn.nsk.hr/urn:nbn:hr:217:227433

M. Božinović, "Primjena matematičke analize u ekonomiji", Master's thesis, University of Zagreb, Faculty of Science, Zagreb, 2021. Available at: https://urn.nsk.hr/urn:nbn:hr:217:227433

Metadata
TitlePrimjena matematičke analize u ekonomiji
Title (english)Application of mathematical analysis in economics
AuthorMihaela Božinović
MentorAna Prlić (mentor)
Committee memberAna Prlić (predsjednik povjerenstva)
Committee memberDamir Bakić (član povjerenstva)
Committee memberSnježana Lubura Strunjak (član povjerenstva)
Committee memberGoranka Nogo (član povjerenstva)
GranterUniversity of Zagreb
Faculty of Science
(Department of Mathematics)
Zagreb
Defense date and country2021-07-21, Croatia
Scientific / art field,
discipline and subdiscipline		NATURAL SCIENCES
Mathematics
Abstract
Brojne primjene matematičke analize u ekonomiji svjedoče o njihovoj neraskidivoj povezanosti. Granični koncepti poput graničnog troška, prihoda, profita, korisnosti, proizvoda rada i proizvoda kapitala, cjenovna elastičnost, kontrola inventara te komparativnostatička analiza samo su neki od primjera u kojima se primjenjuje diferencijalni račun. Njega direktno koristimo i u maksimizaciji i minimizaciji nekih ekonomskih funkcija. Medutim, uvjeti poput budžetskog ograničenja često proizlaze iz prirode problema što nas vodi do uvjetne optimizacije. Jedna pogodna metoda za pronalaženje uvjetnih ekstrema je metoda Lagrangeovih multiplikatora. Osim diferencijabilnosti, važno svojstvo je i homogenost koja se često pretpostavlja u ekonomskoj teoriji gdje su primjenu pronašli i Eulerov teorem i homogenizacija.
Abstract (english)
There are numerous applications of mathematical analysis in economics evidencing their inextricable bound. Marginal concepts such as marginal cost, revenue, profit, utility, the product of labor and the product of capital, price elasticity, inventory control and comparative statics analysis are only some of the examples where calculus is used. Calculus is also directly used in maximization and minimization of some economic functions. However, constraints like budget constraints naturally arise, which leads us to constraint optimization. One convenient method for finding constrained local extrema is the method of Lagrange multipliers. Other than differentiability, one other important function property is homogenity that is often assumed in economic theory, where also Euler’s theorem and homogenization found their application.
Keywords
Keywords (english)
Languagecroatian
URN:NBNurn:nbn:hr:217:227433
Study programmeTitle: Finance and Business 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 on2021-09-14 12:22:38