Metrička ravnina

master's thesis

• Author: Marija Tomić Kruljac
• Mentor: Zvonko Iljazović (mentor)
• Committee member: Zvonko Iljazović (predsjednik povjerenstva)
• Committee member: Pavle Pandžić (član povjerenstva)
• Committee member: Dragutin Svrtan (član povjerenstva)
• Committee member: Nenad Antonić (član povjerenstva)
• Granter: University of Zagreb; Faculty of Science; (Department of Mathematics); Zagreb
• Defense date and country: 2015-07-13, Croatia
• Scientific / art field, discipline and subdiscipline: NATURAL SCIENCES; Mathematics

Abstract

U ovom diplomskom radu proučava se pojam metričke ravnine. U prvom poglavlju definiraju se samo neki osnovni pojmovi te zatim pojmovi pravca, ravnine, Paschove ravnine te se proučavaju neka njihova svojstva. U drugom poglavlju uvodi se pojam metričke ravnine te se proučavaju neka njena svojstva, a posebno se proučavaju izometrije metričke ravnine. Treće poglavlje bavi se pojmom metričkog prostora te otvorenošću i zatvorenošću skupova u metričkom prostoru, a posebno u metričkoj ravnini. Proučava se i veza između udaljenosti točaka i aproksimacije dužine.

Abstract (english)

This thesis examines the concept of a metric plane. The first chapter defines some basic concepts and concepts of line, plane, Pasch’s plane and studies their properties. The second chapter introduces the concept of a metric plane and studies some properties, especially the isometrics of the metric plane. The third chapter deals with the concept of metric space and openness and closedness of sets in the metric space, and especially in a metric plane. It also examines the connection between the approximation of a line segment and the distance between points

• Keywords: metrička ravnina; Paschova ravnina; izometrije; otvorenost i zatvorenost skupova u metričkom prostoru
• Keywords (english): metric plane; Pasch’s plane; isometrics; openness and closedness of sets in the metric space
• Language: croatian
• URN:NBN: urn:nbn:hr:217:819859
• 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: 2019-02-15 08:59:13