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undergraduate thesis
Fourierovi redovi
Osijek: Josip Juraj Strossmayer University of Osijek, Department of Mathematics, 2017. urn:nbn:hr:126:768487
Martinić, Keti
Josip Juraj Strossmayer University of Osijek
Department of Mathematics
Chair of Applied Mathematics and Computer Science
Applied Mathematics and Optimization Research Group

Institutional repository: Repository of School of Applied Mathematics and Informatics

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Martinić, K. (2017). Fourierovi redovi (Undergraduate thesis). Osijek: Josip Juraj Strossmayer University of Osijek, Department of Mathematics. Retrieved from https://urn.nsk.hr/urn:nbn:hr:126:768487

Martinić, Keti. "Fourierovi redovi." Undergraduate thesis, Josip Juraj Strossmayer University of Osijek, Department of Mathematics, 2017. https://urn.nsk.hr/urn:nbn:hr:126:768487

Martinić, Keti. "Fourierovi redovi." Undergraduate thesis, Josip Juraj Strossmayer University of Osijek, Department of Mathematics, 2017. https://urn.nsk.hr/urn:nbn:hr:126:768487

Martinić, K. (2017). 'Fourierovi redovi', Undergraduate thesis, Josip Juraj Strossmayer University of Osijek, Department of Mathematics, accessed 08 January 2025, https://urn.nsk.hr/urn:nbn:hr:126:768487

Martinić K. Fourierovi redovi [Undergraduate thesis]. Osijek: Josip Juraj Strossmayer University of Osijek, Department of Mathematics; 2017 [cited 2025 January 08] Available at: https://urn.nsk.hr/urn:nbn:hr:126:768487

K. Martinić, "Fourierovi redovi", Undergraduate thesis, Josip Juraj Strossmayer University of Osijek, Department of Mathematics, Osijek, 2017. Available at: https://urn.nsk.hr/urn:nbn:hr:126:768487

Metadata
TitleFourierovi redovi
Title (english)Fourier Series
AuthorKeti Martinić
MentorKrešimir Burazin (mentor)
GranterJosip Juraj Strossmayer University of Osijek
Department of Mathematics
(Chair of Applied Mathematics and Computer Science)
(Applied Mathematics and Optimization Research Group)
Osijek
Defense date and country2017-09-29, Croatia
Scientific / art field,
discipline and subdiscipline		NATURAL SCIENCES
Mathematics
Mathematical Analysis
Abstract
U ovom radu ćemo proučiti pojam Fourierovog reda i Fourierovih koeficijenata. Potom ćemo analizirati vrste konvergencija Fourierovog reda ( Konvergencija po točkama, uniformna konvergencija, konvergencija u smislu \(L^{2}\) -norme) te definirati kompleksni oblik Fourierovog reda i Fourierovih koeficijenata. Takoder ćemo definirati i Fourierovu transformaciju koja se koristi za procesiranje signala te je pružila veliki doprinos u tehničkim znanostima i medicini. U zadnjem poglavlju ćemo navesti dva primjera primjene Fourierovog reda, provodenje topline i valna jednadžba.
Abstract (english)
In this paper we will study the terms Fourier series and Fourier coefficients. Then we will analyze the types of convergence of Fourier series (pointwise convergence, uniform convergence, convergence in \(L^{2}\) -norm) and define the complex form of Fouriers series. We will also define Fourier transform which is used to process the signal and has contributed greatly to technical sciences and medicine. In the last section, there are two examples of the application of the Fourier series, heat conduction and wave equation.
Keywords
Keywords (english)
Languagecroatian
URN:NBNurn:nbn:hr:126:768487
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
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Created on2017-10-25 06:50:22