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undergraduate thesis
Kriteriji konvergencije redova realnih brojeva
2024. urn:nbn:hr:126:248166
Šeremet, Marija
Josip Juraj Strossmayer University of Osijek
School of Applied Mathematics and Informatics

Cite this document

Šeremet, M. (2024). Kriteriji konvergencije redova realnih brojeva (Undergraduate thesis). Osijek: Josip Juraj Strossmayer University of Osijek, School of Applied Mathematics and Informatics. Retrieved from https://urn.nsk.hr/urn:nbn:hr:126:248166

Šeremet, Marija. "Kriteriji konvergencije redova realnih brojeva." Undergraduate thesis, Josip Juraj Strossmayer University of Osijek, School of Applied Mathematics and Informatics, 2024. https://urn.nsk.hr/urn:nbn:hr:126:248166

Šeremet, Marija. "Kriteriji konvergencije redova realnih brojeva." Undergraduate thesis, Josip Juraj Strossmayer University of Osijek, School of Applied Mathematics and Informatics, 2024. https://urn.nsk.hr/urn:nbn:hr:126:248166

Šeremet, M. (2024). 'Kriteriji konvergencije redova realnih brojeva', Undergraduate thesis, Josip Juraj Strossmayer University of Osijek, School of Applied Mathematics and Informatics, accessed 10 November 2024, https://urn.nsk.hr/urn:nbn:hr:126:248166

Šeremet M. Kriteriji konvergencije redova realnih brojeva [Undergraduate thesis]. Osijek: Josip Juraj Strossmayer University of Osijek, School of Applied Mathematics and Informatics; 2024 [cited 2024 November 10] Available at: https://urn.nsk.hr/urn:nbn:hr:126:248166

M. Šeremet, "Kriteriji konvergencije redova realnih brojeva", Undergraduate thesis, Josip Juraj Strossmayer University of Osijek, School of Applied Mathematics and Informatics, Osijek, 2024. Available at: https://urn.nsk.hr/urn:nbn:hr:126:248166

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Metadata
TitleKriteriji konvergencije redova realnih brojeva
Title (english)Convergence Criteria for Series of Real Numbers
AuthorMarija Šeremet
MentorIvana Kuzmanović Ivičić (mentor)
GranterJosip Juraj Strossmayer University of Osijek
School of Applied Mathematics and Informatics
Osijek
Defense date and country2024-09-20, Croatia
Scientific / art field,
discipline and subdiscipline		NATURAL SCIENCES
Mathematics
Mathematical Analysis
Abstract
Tema ovog završnog rada su kriteriji konvergencije redova realnih brojeva. Za potrebe njihovog definiranja, u prvom dijelu rada navedene su definicije i rezultati vezani uz osnovne pojmove kao što su red i konvergencija reda. Potom, za razumijevanje kriterija konvergencije u drugom dijelu rada je definirano i na primjerima prikazano uspoređivanje redova te apsolutna konvergencija redova. U posljednjem poglavlju iskazani su i dokazani uvjeti za određivanje konvergencije redova, a kako bismo iskazali sve kriterije bilo je potrebno uvesti i definiciju alternirajućeg reda. Dodatno, na primjerima je prikazano korištenje nekoliko važnih kriterija za određivanje konvergencije redova.
Abstract (english)
The topic of this final paper is convergence criteria for sequences of real numbers. For the purpose of defining them, the first part of the paper presents definitions and results related to fundamental concepts such as series and the convergence of a series. Then, in the second part of the paper, in order to understand the convergence criteria, comparisons of series and the absolute convergence of series are defined and illustrated with examples. In the last chapter, conditions for determining the convergence of series are stated and proven. To encompass all criteria, it was necessary to introduce the definition of an alternating series. Additionally, examples are provided to demonstrate the use of several important criteria for determining the convergence of series.
Keywords
Keywords (english)
Languagecroatian
URN:NBNurn:nbn:hr:126:248166
Study programmeTitle: University Bachelor of Mathematics (univ. bacc. math.)
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
Terms of useLicence In copyright icon
Created on2024-09-26 06:25:42