Potpunost i njene posljedice

Tkalec, Kristina (2016) Potpunost i njene posljedice. Diploma thesis, Faculty of Science > Department of Mathematics.

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Abstract

In this diploma thesis we study the completeness of the field of real numbers and the consequences of this completeness on properties of continuous functions. In the first chapter we introduce the real numbers and necessary algebraic notions such as the notion of a group and the notion of a field. In the second chapter we study continuous functions. By proving necessary theorems and propositions we come to the final conclusion: the image of a continuous function on a segment is a segment. The approach that we used did not require the introduction of natural numbers.

Item Type: Thesis (Diploma thesis)
Supervisor: Iljazović, Zvonko
Date: 2016
Number of Pages: 31
Subjects: NATURAL SCIENCES > Mathematics
Divisions: Faculty of Science > Department of Mathematics
Depositing User: Iva Prah
Date Deposited: 26 Aug 2016 08:32
Last Modified: 26 Aug 2016 08:32
URI: http://digre.pmf.unizg.hr/id/eprint/5003

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