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undergraduate thesis
Apsolutna konvergencija i redovi potencija
2020. urn:nbn:hr:126:368670
Pavlić, Tena
Josip Juraj Strossmayer University of Osijek
Department of Mathematics
Chair of Pure Mathematics and Mathematics Teaching
Algebra, Analysis and Number Theory Research Group

Cite this document

Pavlić, T. (2020). Apsolutna konvergencija i redovi potencija (Undergraduate thesis). Osijek: Josip Juraj Strossmayer University of Osijek, Department of Mathematics. Retrieved from https://urn.nsk.hr/urn:nbn:hr:126:368670

Pavlić, Tena. "Apsolutna konvergencija i redovi potencija." Undergraduate thesis, Josip Juraj Strossmayer University of Osijek, Department of Mathematics, 2020. https://urn.nsk.hr/urn:nbn:hr:126:368670

Pavlić, Tena. "Apsolutna konvergencija i redovi potencija." Undergraduate thesis, Josip Juraj Strossmayer University of Osijek, Department of Mathematics, 2020. https://urn.nsk.hr/urn:nbn:hr:126:368670

Pavlić, T. (2020). 'Apsolutna konvergencija i redovi potencija', Undergraduate thesis, Josip Juraj Strossmayer University of Osijek, Department of Mathematics, accessed 12 January 2025, https://urn.nsk.hr/urn:nbn:hr:126:368670

Pavlić T. Apsolutna konvergencija i redovi potencija [Undergraduate thesis]. Osijek: Josip Juraj Strossmayer University of Osijek, Department of Mathematics; 2020 [cited 2025 January 12] Available at: https://urn.nsk.hr/urn:nbn:hr:126:368670

T. Pavlić, "Apsolutna konvergencija i redovi potencija", Undergraduate thesis, Josip Juraj Strossmayer University of Osijek, Department of Mathematics, Osijek, 2020. Available at: https://urn.nsk.hr/urn:nbn:hr:126:368670

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Metadata
TitleApsolutna konvergencija i redovi potencija
Title (english)Absolute Convergence and Power Series
AuthorTena Pavlić
MentorIvan Soldo (mentor)
GranterJosip Juraj Strossmayer University of Osijek
Department of Mathematics
(Chair of Pure Mathematics and Mathematics Teaching)
(Algebra, Analysis and Number Theory Research Group)
Osijek
Defense date and country2020-09-30, Croatia
Scientific / art field,
discipline and subdiscipline		NATURAL SCIENCES
Mathematics
Mathematical Analysis
Abstract
U ovom završnom radu bavimo se temom apsolutne konvergencije redova realnih brojeva i redovima potencija realnih brojeva. Na početku rada ćemo definirati osnovne pojmove kao što su redovi realnih brojeva i konvergencija redova realnih brojeva te navesti teoreme vezane za ispitivanje konvergencije redova realnih brojeva. Zatim ćemo definirati apsolutnu konvergenciju redova realnih brojeva te navesti neke od kriterija za ispitivanje apsolutne konvergencije. Nadalje, definirat ćemo redove potencija realnih brojeva i navesti teoreme kojima se koristimo za ispitivanje konvergencije i radijusa konvergencije redova potencija realnih brojeva. Na kraju ćemo definirati Taylorov red, iskazati Taylorov teorem i razviti neke funkcije u Taylorov odnosno Maclaurinov red
Abstract (english)
In this final paper, we consider the topic of absolute convergence of infinite series of real numbers and power series of real numbers. At the beginning of the paper, we define fundamental terms such as series of real numbers and convergence of series of real numbers and state theorems concerning determination of convergence of series of real numbers. Next we will define absolute convergence of infinite series of real numbers and point some of the criteria for determining the absolute convergence of infinite series of real numbers. Furthermore, we define the power series of real numbers and state theorems that we use to determine the convergence of the power series of real numbers and radius of convergence. Finally, we define Taylor’s series, prove Taylor’s theorem and develop some functions into Taylor’s or Maclaurin’s series.
Keywords
Keywords (english)
Languagecroatian
URN:NBNurn:nbn:hr:126:368670
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
Terms of useLicence In copyright icon
Created on2020-10-27 09:13:09