Matematika prije Pitagore

master's thesis

• Author: Jadranka Zebić
• Mentor: Franka Miriam Bruckler (mentor)
• Committee member: Franka Miriam Bruckler (predsjednik povjerenstva)
• Committee member: Zrinka Franušić (član povjerenstva)
• Committee member: Ozren Perše (član povjerenstva)
• Committee member: Mirko Polonijo (član povjerenstva)
• Granter: University of Zagreb; Faculty of Science; (Department of Mathematics); Zagreb
• Defense date and country: 2014-09-26, Croatia
• Scientific / art field, discipline and subdiscipline: NATURAL SCIENCES; Mathematics

Abstract

U radu se upoznajemo s načinima bilježenja brojeva i količina u starome vijeku do rane antike, tj. u doba u kojemu je matematika bila empirijska. Naime, oko 500. g. pr. Kr. je – bar za zapadnu civilizaciju - došlo do preokreta u matematici jer je ona u to doba pod utjecajem pitagorejske škole postala apstraktna, a tvrdnje su se počele dokazivati. Navodimo značajke najranijih i razvijenih civilizacija. Opisano je kako se matematika počela razvijati zbog praktičnih ljudskih potreba. Opisana su najvažnija dostignuća u pojedinim civilizacijama te povijesni izvori iz kojih to doznajemo. Među ostalim zapisano je kako su zapisivali brojeve te koje su brojevne sustave koristili. Kroz primjere je prikazano kako su zbrajali, oduzimali, množili i dijelili te zapisivali razlomke.

Abstract (english)

The thesis presents the methods of ancient recording of numbers and quantities. About 500 BC a significant turn - at least for Western civilisation - in mathematics appeared as the influence of the Pythagoreans changed her into an abstract science in which claims are to be proven. Presented are the important characteristics of the earliest advanced civilizations. It is demonstrated that mathematics started to develop as a result of the practical human needs. The most important accomplishments of each civilization are described, and so are the historical sources. Among other things, it is described how the numbers were written in specific ancient cultures, and which numeral systems were used. Examples present methods of addition, subtraction, multiplication, division, and expressing fractions.

• Keywords: načini bilježenja brojeva i količina u starome vijeku do rane antike; pitagorejska škola; brojevni sustavi
• Keywords (english): methods of ancient recording of numbers and quantities; Pythagoreans; numeral systems
• Language: croatian
• URN:NBN: urn:nbn:hr:217:117291
• 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: 2019-02-20 12:09:31