Aksiomi kompleksnih brojeva

master's thesis

• Author: Lana Kralj
• Mentor: Zvonko Iljazović (mentor)
• Committee member: Zvonko Iljazović (predsjednik povjerenstva)
• Committee member: Zoran Vondraček (član povjerenstva)
• Committee member: Sonja Štimac (član povjerenstva)
• Committee member: Vedran Čačić (član povjerenstva)
• Granter: University of Zagreb; Faculty of Science; (Department of Mathematics); Zagreb
• Defense date and country: 2018-09-20, Croatia
• Scientific / art field, discipline and subdiscipline: NATURAL SCIENCES; Mathematics

Abstract

Ovaj diplomski rad podijelili smo na tri poglavlja. U prvom poglavlju definiraju se osnovni pojmovi kao što su binarne relacije i operacije te grupe i prsteni. U drugom poglavlju smo se bavili skupovima brojeva; skupom prirodnih, cijelih i racionalnih brojeva te smo uveli pojam potpolja. U trećem smo poglavlju definirali polje kompleksnih brojeva te prikazali jedno proširenje polja realnih brojeva do polja kompleksnih brojeva.

Abstract (english)

This diploma thesis is divided into three chapters. In first chapter we define basic notions; binary relations and operations and also some basic algebraic structures; groups and rings. In second chapter we examine sets of numbers; natural numbers, integers and rational numbers and we define subfield. In third chapter we define field of complex numbers and we represent one extension of real numbers field to the field of complex numbers.

• Keywords: binarne relacije; binarne operacije; grupe; prsteni; poje kompleksnih brojeva
• Keywords (english): binary relations; binary operations; groups; rings; field of complex numbers
• Language: croatian
• URN:NBN: urn:nbn:hr:217:003509
• 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: 2019-05-27 11:08:05