prikaz prve stranice dokumenta Matematičko modeliranje jednostavnim funkcijama više varijabli
  Download
PDF 12.57 MB
master's thesis
Matematičko modeliranje jednostavnim funkcijama više varijabli
Osijek: Josip Juraj Strossmayer University of Osijek, School of Applied Mathematics and Informatics, 2023. urn:nbn:hr:126:841019
Petrović, Marijeta
Josip Juraj Strossmayer University of Osijek
School of Applied Mathematics and Informatics

Institutional repository: Repository of School of Applied Mathematics and Informatics

Cite this document

Petrović, M. (2023). Matematičko modeliranje jednostavnim funkcijama više varijabli (Master's thesis). Osijek: Josip Juraj Strossmayer University of Osijek, School of Applied Mathematics and Informatics. Retrieved from https://urn.nsk.hr/urn:nbn:hr:126:841019

Petrović, Marijeta. "Matematičko modeliranje jednostavnim funkcijama više varijabli." Master's thesis, Josip Juraj Strossmayer University of Osijek, School of Applied Mathematics and Informatics, 2023. https://urn.nsk.hr/urn:nbn:hr:126:841019

Petrović, Marijeta. "Matematičko modeliranje jednostavnim funkcijama više varijabli." Master's thesis, Josip Juraj Strossmayer University of Osijek, School of Applied Mathematics and Informatics, 2023. https://urn.nsk.hr/urn:nbn:hr:126:841019

Petrović, M. (2023). 'Matematičko modeliranje jednostavnim funkcijama više varijabli', Master's thesis, Josip Juraj Strossmayer University of Osijek, School of Applied Mathematics and Informatics, accessed 21 December 2024, https://urn.nsk.hr/urn:nbn:hr:126:841019

Petrović M. Matematičko modeliranje jednostavnim funkcijama više varijabli [Master's thesis]. Osijek: Josip Juraj Strossmayer University of Osijek, School of Applied Mathematics and Informatics; 2023 [cited 2024 December 21] Available at: https://urn.nsk.hr/urn:nbn:hr:126:841019

M. Petrović, "Matematičko modeliranje jednostavnim funkcijama više varijabli", Master's thesis, Josip Juraj Strossmayer University of Osijek, School of Applied Mathematics and Informatics, Osijek, 2023. Available at: https://urn.nsk.hr/urn:nbn:hr:126:841019

Metadata
TitleMatematičko modeliranje jednostavnim funkcijama više varijabli
Title (english)Mathematical Modeling With Simple Multivariable Functions
AuthorMarijeta Petrović
MentorMihaela Ribičić Penava (mentor)
Committee memberLjerka Jukić Matić (predsjednik povjerenstva)
Committee memberMihaela Ribičić Penava (član povjerenstva)
Committee memberLjiljana Primorac Gajčić (član povjerenstva)
GranterJosip Juraj Strossmayer University of Osijek
School of Applied Mathematics and Informatics
Osijek
Defense date and country2023-10-31, Croatia
Scientific / art field,
discipline and subdiscipline		NATURAL SCIENCES
Mathematics
Applied Mathematics and Mathematical Modeling
Abstract
Da bismo bolje razumjeli i predvidjeli stvarni svijet, koristimo se matematičkim modelima. Matematički modeli koriste matematiku kako bi opisali određeni sustav ili pojavu. Proces kreiranja takvog modela nazivamo matematičko modeliranje. Budući da je stvarnost kompleksna, prilikom izrade modela često moramo birati koja ćemo svojstva u modelu proučavati a koja jednostavno izostaviti. U ovom diplomskom radu proučavali smo funkcije dviju i više varijabli. Fokusirali smo se na karakteristike, grafičke prikaze i primjene ovih funkcija u modeliranju. U poglavlju posvećenom funkcijama dviju varijabli, detaljno smo analizirali domene tih funkcija te njihove grafičke reprezentacije. U tom kontekstu, istražili smo četiri ključne grafičke strukture: paraboloid, stožac, sferu i sedlastu plohu, pružajući pripadajuće matematičke objašnjenja i ilustracije. Zatim smo se posvetili modeliranju pomoću funkcija dviju varijabli, demonstrirajući kroz konkretne primjere kako se te funkcije mogu primijeniti u praksi. Zadnji dio rada odnosio se na funkcije više varijabli i matematičko modeliranje pomoću funkcija triju varijabli.
Abstract (english)
To better understand and predict the real world, we use mathematical models. Mathematical models employ mathematics to describe a particular system or phenomenon. The process of creating such a model is called mathematical modeling. Since reality is complex, when creating a model, we often have to choose which properties to study in the model and which to simply omit. In this thesis, we studied functions of two or more variables. We focused on the characteristics, graphical representations, and applications of these functions in modeling. In the chapter dedicated to functions of two variables, we thoroughly analyzed the domains of these functions and their graphical representations. In this context, we explored four key graphical structures: the paraboloid, cone, sphere, and saddle surface, providing corresponding mathematical explanations and illustrations. We then turned to modeling using functions of two variables, demonstrating through specific examples how these functions can be applied in practice. The last part of the work pertained to functions of multiple variables and mathematical modeling using functions of three variables.
Keywords
Keywords (english)
Languagecroatian
URN:NBNurn:nbn:hr:126:841019
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 on2023-11-09 09:16:36