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master's thesis
Baselski problem
Zagreb: University of Zagreb, Faculty of Science, 2018. urn:nbn:hr:217:917274
Tisanić, Valentina
University of Zagreb
Faculty of Science
Department of Mathematics

Institutional repository: Repository of the Faculty of Science

Cite this document

Tisanić, V. (2018). Baselski problem (Master's thesis). Zagreb: University of Zagreb, Faculty of Science. Retrieved from https://urn.nsk.hr/urn:nbn:hr:217:917274

Tisanić, Valentina. "Baselski problem." Master's thesis, University of Zagreb, Faculty of Science, 2018. https://urn.nsk.hr/urn:nbn:hr:217:917274

Tisanić, Valentina. "Baselski problem." Master's thesis, University of Zagreb, Faculty of Science, 2018. https://urn.nsk.hr/urn:nbn:hr:217:917274

Tisanić, V. (2018). 'Baselski problem', Master's thesis, University of Zagreb, Faculty of Science, accessed 07 July 2024, https://urn.nsk.hr/urn:nbn:hr:217:917274

Tisanić V. Baselski problem [Master's thesis]. Zagreb: University of Zagreb, Faculty of Science; 2018 [cited 2024 July 07] Available at: https://urn.nsk.hr/urn:nbn:hr:217:917274

V. Tisanić, "Baselski problem", Master's thesis, University of Zagreb, Faculty of Science, Zagreb, 2018. Available at: https://urn.nsk.hr/urn:nbn:hr:217:917274

Metadata
TitleBaselski problem
AuthorValentina Tisanić
MentorLjiljana Arambašić (mentor)
Committee memberLjiljana Arambašić (predsjednik povjerenstva)
Committee memberGoran Muić (član povjerenstva)
Committee memberZlatko Drmač (član povjerenstva)
Committee memberFilip Najman (član povjerenstva)
GranterUniversity of Zagreb
Faculty of Science
(Department of Mathematics)
Zagreb
Defense date and country2018-07-18, Croatia
Scientific / art field,
discipline and subdiscipline		NATURAL SCIENCES
Mathematics
Abstract
U ovom radu sam predstavila Baselski problem. U uvodnom dijelu sam pisala o povijesti Baselskog problema i o prvom valjanom dokazu. Prvi dokaz napisao je Euler i njime ušao u svijet slavnih matematičara. Osim Eulerovog dokaza, navela sam i dokaze: pomoću Fourierovih redova, preko teleskopskih redova, pomoću trigonometrije i algebre, dokaz preko dvostrukih integrala i na kraju dokaz uz interpretaciju pomoću svjetlosti.
Abstract (english)
In this graduation thesis, I presented the Basel problem. First, I wrote about the history of the Basel problem and about first valid proof. First proof was written by Euler, by which he entered the world of famous mathematicians. Besides Euler’s proof, I presented some other proofs of the same problem: by using Fourier series, by telescoping series, a proof by trigonometry, a proof with double integrals and finally, a proof with lights interpretation.
Keywords
Keywords (english)
Languagecroatian
URN:NBNurn:nbn:hr:217:917274
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 on2019-07-02 11:15:38