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master's thesis
Laplaceova transformacija
Zagreb: University of Zagreb, Faculty of Science, 2023. urn:nbn:hr:217:200517
Ćuća, Lara
University of Zagreb
Faculty of Science
Department of Mathematics

Institutional repository: Repository of the Faculty of Science

Cite this document

Ćuća, L. (2023). Laplaceova transformacija (Master's thesis). Zagreb: University of Zagreb, Faculty of Science. Retrieved from https://urn.nsk.hr/urn:nbn:hr:217:200517

Ćuća, Lara. "Laplaceova transformacija." Master's thesis, University of Zagreb, Faculty of Science, 2023. https://urn.nsk.hr/urn:nbn:hr:217:200517

Ćuća, Lara. "Laplaceova transformacija." Master's thesis, University of Zagreb, Faculty of Science, 2023. https://urn.nsk.hr/urn:nbn:hr:217:200517

Ćuća, L. (2023). 'Laplaceova transformacija', Master's thesis, University of Zagreb, Faculty of Science, accessed 26 December 2024, https://urn.nsk.hr/urn:nbn:hr:217:200517

Ćuća L. Laplaceova transformacija [Master's thesis]. Zagreb: University of Zagreb, Faculty of Science; 2023 [cited 2024 December 26] Available at: https://urn.nsk.hr/urn:nbn:hr:217:200517

L. Ćuća, "Laplaceova transformacija", Master's thesis, University of Zagreb, Faculty of Science, Zagreb, 2023. Available at: https://urn.nsk.hr/urn:nbn:hr:217:200517

Metadata
TitleLaplaceova transformacija
Title (english)Laplace transform
AuthorLara Ćuća
MentorLjiljana Arambašić (mentor)
Committee memberLjiljana Arambašić (predsjednik povjerenstva)
Committee memberMatija Bašić (član povjerenstva)
Committee memberGoran Radunović (član povjerenstva)
Committee memberGoran Igaly (član povjerenstva)
GranterUniversity of Zagreb
Faculty of Science
(Department of Mathematics)
Zagreb
Defense date and country2023-09-27, Croatia
Scientific / art field,
discipline and subdiscipline		NATURAL SCIENCES
Mathematics
Abstract
Budući da je Laplaceova transformacija jedna od najvažnijih integralnih transformacija, cilj rada je upoznati se s Laplaceovom transformacijom i njezinim osnovnim svojstvima. Analiziramo na koje funkcije ju možemo primijeniti i na koji način efikasno odrediti Laplaceovu transformaciju nekih funkcija, te kako nam neka njezina svojstva mogu u tome pomoći. Također, bavimo se i pitanjem postojanja i metodama određivanja inverza Laplaceove transformacije. Na samom kraju rada, detaljnije proučavamo jednu primjenu Laplaceove transformacije u matematici, a odnosi se na rješavanje linearnih diferencijalnih jednadžbi.
Abstract (english)
Since the Laplace transform is one of the most important integral transforms, the aim of this paper is to introduce ourselves with Laplace transform and its basic properties. We analyze which functions we can apply it on and how to efficiently determine the Laplace transform of some functions, and how some of its properties can help us. Also, we deal with the question of existence and methods of determining the inverse of the Laplace transform. At the end of the paper, we study in more detail one application of the Laplace transform in mathematics, related to solving linear differential equations.
Keywords
Keywords (english)
Languagecroatian
URN:NBNurn:nbn:hr:217:200517
Study programmeTitle: Mathematics Education; specializations in: Mathematics Education
Course: Mathematics Education
Study programme type: university
Study level: graduate
Academic / professional title: sveučilišni magistar edukacije matematike (sveučilišni magistar edukacije matematike)
Type of resourceText
File originBorn digital
Access conditionsOpen access
Terms of useLicence In copyright icon
Created on2024-01-30 13:36:06