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master's thesis
Neke matematičke konstante i njihovi verižni razlomci
Zagreb: University of Zagreb, Faculty of Science, 2020. urn:nbn:hr:217:562956
Dravec, Maja
University of Zagreb
Faculty of Science
Department of Mathematics

Institutional repository: Repository of the Faculty of Science

Cite this document

Dravec, M. (2020). Neke matematičke konstante i njihovi verižni razlomci (Master's thesis). Zagreb: University of Zagreb, Faculty of Science. Retrieved from https://urn.nsk.hr/urn:nbn:hr:217:562956

Dravec, Maja. "Neke matematičke konstante i njihovi verižni razlomci." Master's thesis, University of Zagreb, Faculty of Science, 2020. https://urn.nsk.hr/urn:nbn:hr:217:562956

Dravec, Maja. "Neke matematičke konstante i njihovi verižni razlomci." Master's thesis, University of Zagreb, Faculty of Science, 2020. https://urn.nsk.hr/urn:nbn:hr:217:562956

Dravec, M. (2020). 'Neke matematičke konstante i njihovi verižni razlomci', Master's thesis, University of Zagreb, Faculty of Science, accessed 30 December 2024, https://urn.nsk.hr/urn:nbn:hr:217:562956

Dravec M. Neke matematičke konstante i njihovi verižni razlomci [Master's thesis]. Zagreb: University of Zagreb, Faculty of Science; 2020 [cited 2024 December 30] Available at: https://urn.nsk.hr/urn:nbn:hr:217:562956

M. Dravec, "Neke matematičke konstante i njihovi verižni razlomci", Master's thesis, University of Zagreb, Faculty of Science, Zagreb, 2020. Available at: https://urn.nsk.hr/urn:nbn:hr:217:562956

Metadata
TitleNeke matematičke konstante i njihovi verižni razlomci
AuthorMaja Dravec
MentorZrinka Franušić (mentor)
Committee memberZrinka Franušić (predsjednik povjerenstva)
Committee memberDijana Ilišević (član povjerenstva)
Committee memberVinko Petričević (član povjerenstva)
Committee memberFilip Najman (član povjerenstva)
GranterUniversity of Zagreb
Faculty of Science
(Department of Mathematics)
Zagreb
Defense date and country2020-09-29, Croatia
Scientific / art field,
discipline and subdiscipline		NATURAL SCIENCES
Mathematics
Abstract
Činjenica je da se neki brojevi pojavljuju u matematici i njezinim primjenama češće od ostalih brojeva. Ti brojevi su matematičke konstante. U ovom diplomskom radu bavimo se s četiri najpoznatije konstante: Pitagorinom konstantom \(\sqrt {2} \), zlatnim rezom \(\varphi \), Napierovom konstantom ili Eulerovim brojem \( e\) i Arhimedom konstantom ili Ludolphovim brojem \(\pi \) i prikazujemo ih u obliku verižnih razlomaka. Verižni razlomci koristan su alat za pronalaženje racionalnih aproksimacija iracionalnih brojeva.
Abstract (english)
The fact is that some numbers arise throughout mathematics and its application areas more frequently than the others. These numbers are mathematical constants. In this thesis, we deal with the four most famous constants: Pythagoras’ constant, the golden ratio, Napier’s constant or Euler’ s number and Archimedes’ constant or Ludolph’s number, and give its continued fraction expansions. Continued fractions are a useful tool for finding rational approximations to irrational numbers
Keywords
Keywords (english)
Languagecroatian
URN:NBNurn:nbn:hr:217:562956
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 on2020-12-10 12:33:28