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undergraduate thesis
Nizovi i redovi realnih brojeva
2021. urn:nbn:hr:126:717891
Babok, Ema
Josip Juraj Strossmayer University of Osijek
Department of Mathematics
Chair of Pure Mathematics and Mathematics Teaching
Probability, Mathematical Statistics and Data Science Research Group

Cite this document

Babok, E. (2021). Nizovi i redovi realnih brojeva (Undergraduate thesis). Osijek: Josip Juraj Strossmayer University of Osijek, Department of Mathematics. Retrieved from https://urn.nsk.hr/urn:nbn:hr:126:717891

Babok, Ema. "Nizovi i redovi realnih brojeva." Undergraduate thesis, Josip Juraj Strossmayer University of Osijek, Department of Mathematics, 2021. https://urn.nsk.hr/urn:nbn:hr:126:717891

Babok, Ema. "Nizovi i redovi realnih brojeva." Undergraduate thesis, Josip Juraj Strossmayer University of Osijek, Department of Mathematics, 2021. https://urn.nsk.hr/urn:nbn:hr:126:717891

Babok, E. (2021). 'Nizovi i redovi realnih brojeva', Undergraduate thesis, Josip Juraj Strossmayer University of Osijek, Department of Mathematics, accessed 15 January 2025, https://urn.nsk.hr/urn:nbn:hr:126:717891

Babok E. Nizovi i redovi realnih brojeva [Undergraduate thesis]. Osijek: Josip Juraj Strossmayer University of Osijek, Department of Mathematics; 2021 [cited 2025 January 15] Available at: https://urn.nsk.hr/urn:nbn:hr:126:717891

E. Babok, "Nizovi i redovi realnih brojeva", Undergraduate thesis, Josip Juraj Strossmayer University of Osijek, Department of Mathematics, Osijek, 2021. Available at: https://urn.nsk.hr/urn:nbn:hr:126:717891

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Metadata
TitleNizovi i redovi realnih brojeva
Title (english)Sequence and Series of Real Numbers
AuthorEma Babok
MentorDragana Jankov Maširević (mentor)
GranterJosip Juraj Strossmayer University of Osijek
Department of Mathematics
(Chair of Pure Mathematics and Mathematics Teaching)
(Probability, Mathematical Statistics and Data Science Research Group)
Osijek
Defense date and country2021-09-08, Croatia
Scientific / art field,
discipline and subdiscipline		NATURAL SCIENCES
Mathematics
Mathematical Analysis
Abstract
U ovom radu obradit ćemo osnovne pojmove vezane uz nizove i redove realnih brojeva. Za početak, navest ćemo definiciju niza, svojstva nizova te neke najpoznatije nizove s kojima se intuitivno upoznajemo već u osnovnoj školi. Definirat ćemo limes ili graničnu vrijednost niza te na primjerima pokazati kako se ona računa. Nakon toga, objasnit ćemo što je to red realnih brojeva te ćemo se baviti konvergencijom reda. Navest ćemo neke najpoznatije kriterije konvergencije te ih pojasniti na primjerima. U zadnjem poglavlju, podsjetit ćemo se što su to metrički, odnosno topološki prostori te navesti najbitnije teoreme i definicije vezane za nizove i redove u spomenutim prostorima.
Abstract (english)
In this paper we will discuss basic terms referring to sequences and series of real numbers. Firstly, we will define the sequence, its properties and some of the most recognizable sequences with which we have already been intimly familiarized since elementary school. We will define the limit of a sequence and show some examples of how it is calculated. Furthemore, we will explain the definition of the series of real numbers and discuss convergence of the series. We will show a few well known criteria of convergence and explain them using examples. In the last chapter, we will remind ourselves what is the metric and topological space and we will show the most important theorems and definitions pertaining to sequences and series in the aforementioned spaces.
Keywords
Keywords (english)
Languagecroatian
URN:NBNurn:nbn:hr:126:717891
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 on2021-09-09 09:37:13