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master's thesis
Predeuklidsko razdoblje grčke matematike
Zagreb: University of Zagreb, Faculty of Science, 2016. urn:nbn:hr:217:515142
Murat, Mateja
University of Zagreb
Faculty of Science
Department of Mathematics

Institutional repository: Repository of the Faculty of Science

Cite this document

Murat, M. (2016). Predeuklidsko razdoblje grčke matematike (Master's thesis). Zagreb: University of Zagreb, Faculty of Science. Retrieved from https://urn.nsk.hr/urn:nbn:hr:217:515142

Murat, Mateja. "Predeuklidsko razdoblje grčke matematike." Master's thesis, University of Zagreb, Faculty of Science, 2016. https://urn.nsk.hr/urn:nbn:hr:217:515142

Murat, Mateja. "Predeuklidsko razdoblje grčke matematike." Master's thesis, University of Zagreb, Faculty of Science, 2016. https://urn.nsk.hr/urn:nbn:hr:217:515142

Murat, M. (2016). 'Predeuklidsko razdoblje grčke matematike', Master's thesis, University of Zagreb, Faculty of Science, accessed 23 December 2024, https://urn.nsk.hr/urn:nbn:hr:217:515142

Murat M. Predeuklidsko razdoblje grčke matematike [Master's thesis]. Zagreb: University of Zagreb, Faculty of Science; 2016 [cited 2024 December 23] Available at: https://urn.nsk.hr/urn:nbn:hr:217:515142

M. Murat, "Predeuklidsko razdoblje grčke matematike", Master's thesis, University of Zagreb, Faculty of Science, Zagreb, 2016. Available at: https://urn.nsk.hr/urn:nbn:hr:217:515142

Metadata
TitlePredeuklidsko razdoblje grčke matematike
AuthorMateja Murat
MentorFranka Miriam Bruckler (mentor)
Committee memberFranka Miriam Bruckler (predsjednik povjerenstva)
Committee memberGoran Muić (član povjerenstva)
Committee memberMea Bombardelli (član povjerenstva)
Committee memberMarcela Hanzer (član povjerenstva)
GranterUniversity of Zagreb
Faculty of Science
(Department of Mathematics)
Zagreb
Defense date and country2016-07-13, Croatia
Scientific / art field,
discipline and subdiscipline		NATURAL SCIENCES
Mathematics
Abstract
U radu se upoznajemo s najvećim otkrićima grčkih matematičara sve do Euklida. Stari Grci su uvelike utjecali na znanost, posebno na matematiku, a njihov utjecaj je vidljiv još i danas. Oko 500. godine prije Krista je došlo do preokreta u matematici jer je ona u to doba pod utjecajem pitagorejske škole postala apstraktna, a tvrdnje su se počele dokazivati. U prvom poglavlju ovog rada navodimo biografske podatke o Talesu te njegov doprinos matematici. U drugom poglavlju se upoznajemo s Pitagorom i njegovim sljedbenicima - pitagorejcima. U trećem poglavlju saznat ćemo na koji način su starogrčki matematičari nastojali riješiti tri problema starogrčke matematike. Nadalje, u četvrtom poglavlju ćemo se upoznati i s drugim starogrčkim matematičarima, među kojima su najistaknutiji Zenon i Eudoks. Rad završavamo s opisom primjene navedenih otkrića u nastavi matematike te naglaskom na diskusiji sličnosti i razlika starogrčkog i suvremenog pristupa današnjim školskim matematičkim temama.
Abstract (english)
The thesis presents the greatest discoveries of the Greek mathematician before Euclid. The ancient Greeks greatly influenced science, especially mathematics, and their influence is visible even today. About 500 BC a significant turn in mathematics appeared as the influence of the Pythagoreans changed it into an abstract science in which claims have to be proven. In the first chapter of the thesis we present biographical information about Thales and his contribution to mathematics. In the second chapter we meet Pythagoras and his followers - the Pythagoreans. In the third chapter, we describe how the ancient Greek mathematicians tried to solve three classical problems of ancient Greek mathematics. Furthermore, in the fourth chapter deals with other ancient Greek mathematicians of the time, including Zeno and Eudoxus. The thesis concludes with a description of the application of these discoveries in modern mathematics education, with emphasis on the discussion of similarities and differences of the ancient Greek and modern approach.
Keywords
Keywords (english)
Languagecroatian
URN:NBNurn:nbn:hr:217:515142
Study programmeTitle: 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 resourceText
File originBorn digital
Access conditionsOpen access
Terms of useLicence In copyright icon
Created on2019-01-28 08:42:05