Teorija eliminacije varijable i primjene u geometriji

master's thesis

• Title (english): Variable elimination theory and application in geometry
• Author: Mirna Vrsaljko
• Mentor: Goran Muić (mentor)
• Committee member: Goran Muić (predsjednik povjerenstva)
• Committee member: Igor Ciganović (član povjerenstva)
• Committee member: Vjekoslav Kovač (član povjerenstva)
• Committee member: Ljiljana Arambašić (član povjerenstva)
• Granter: University of Zagreb; Faculty of Science; (Department of Mathematics); Zagreb
• Defense date and country: 2021-09-23, Croatia
• Scientific / art field, discipline and subdiscipline: NATURAL SCIENCES; Mathematics

Abstract

U ovome radu, najprije smo definirali osnovne algebarske strukture, grupe, prstene i polja. Zatim smo definirali polinome, operacije nad njima te naveli nekoliko glavnih teorema. Definirali smo i vektorski prostor te najvažnije pojmove vezane uz njega. U drugom poglavlju bavili smo se faktorijalnom domenom te na kraju iskazali i dokazali dva glavna teorema vezana uz eliminaciju varijable.

Abstract (english)

In this thesis, we have first defined the fundamental algebraic structures, groups, rings and fields. Then, we have defined polynomials, operations on them and mentioned some of the main theorems. We have also defined the vector space and the most important terms related to it. In the second chapter, we have studied the factorial domain and in the end we have stated and proved two main theorems related to the elimination of variable.

• Keywords: grupe; prsteni; polja; polinomi; vektorski prostor; faktorijalna domena
• Keywords (english): groups; rings; fields; polynomials; vector space; factorial domain
• Language: croatian
• URN:NBN: urn:nbn:hr:217:904414
• 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: 2021-11-09 12:03:27