Skupovi kao temeljni matematički koncept

master's thesis

• Author: Katarina Vidović
• Mentor: Zvonko Iljazović (mentor)
• Committee member: Zvonko Iljazović (predsjednik povjerenstva)
• Committee member: Juraj Šiftar (član povjerenstva)
• Committee member: Sonja Štimac (član povjerenstva)
• Committee member: Tina Bosner (član povjerenstva)
• Granter: University of Zagreb; Faculty of Science; (Department of Mathematics); Zagreb
• Defense date and country: 2018-07-17, Croatia
• Scientific / art field, discipline and subdiscipline: NATURAL SCIENCES; Mathematics

Abstract

U ovom diplomskom radu proučavaju se osnovna svojstva skupa i familija skupova. Definira se relacija i funkcijska relacija između dva skupa. Zatim se opisuje funkcija i proučavaju njena svojstva. Uvodi se pojam Peanove trojke i pokazuje princip definicije indukcijom. Na kraju, definiraju se i karakteriziraju beskonačni skupovi te pokazuje egzistencija beskonačnog skupa.

Abstract (english)

In this Master’s Thesis the basic properties of a set and a family of sets are studied. The notions of a relation and a function relation between two sets are defined. After that, functions and their properties are studied and described. Also, the notion of a Peano triple is introduced and the principle of the definition by induction is explained. In the end of the thesis, infinite sets are defined and characterized and the existence of an infinite set is presented.

• Keywords: skup; familija skupova; Peanova trojka; princip definicije indukcijom; beskonačni skupovi
• Keywords (english): set; family of sets; Peano triple; principle of definition by induction; infinite sets
• Language: croatian
• URN:NBN: urn:nbn:hr:217:083573
• Study programme: Title: Mathematics Education; specializations in: Mathematics Education; Course: Mathematics Education; Study programme type: university; Study level: graduate; Academic / professional title: magistar/magistra edukacije matematike (magistar/magistra edukacije matematike)
• Type of resource: Text
• File origin: Born digital
• Access conditions: Open access
• Created on: 2019-07-03 10:42:55