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master's thesis
Padeovi aproksimanti i diofantske aproksimacije
Zagreb: University of Zagreb, Faculty of Science, 2014. urn:nbn:hr:217:259907
Maršić, Ivana
University of Zagreb
Faculty of Science
Department of Mathematics

Institutional repository: Repository of the Faculty of Science

Cite this document

Maršić, I. (2014). Padeovi aproksimanti i diofantske aproksimacije (Master's thesis). Zagreb: University of Zagreb, Faculty of Science. Retrieved from https://urn.nsk.hr/urn:nbn:hr:217:259907

Maršić, Ivana. "Padeovi aproksimanti i diofantske aproksimacije." Master's thesis, University of Zagreb, Faculty of Science, 2014. https://urn.nsk.hr/urn:nbn:hr:217:259907

Maršić, Ivana. "Padeovi aproksimanti i diofantske aproksimacije." Master's thesis, University of Zagreb, Faculty of Science, 2014. https://urn.nsk.hr/urn:nbn:hr:217:259907

Maršić, I. (2014). 'Padeovi aproksimanti i diofantske aproksimacije', Master's thesis, University of Zagreb, Faculty of Science, accessed 26 November 2024, https://urn.nsk.hr/urn:nbn:hr:217:259907

Maršić I. Padeovi aproksimanti i diofantske aproksimacije [Master's thesis]. Zagreb: University of Zagreb, Faculty of Science; 2014 [cited 2024 November 26] Available at: https://urn.nsk.hr/urn:nbn:hr:217:259907

I. Maršić, "Padeovi aproksimanti i diofantske aproksimacije", Master's thesis, University of Zagreb, Faculty of Science, Zagreb, 2014. Available at: https://urn.nsk.hr/urn:nbn:hr:217:259907

Metadata
TitlePadeovi aproksimanti i diofantske aproksimacije
AuthorIvana Maršić
MentorAndrej Dujella (mentor)
Committee memberAndrej Dujella (predsjednik povjerenstva)
Committee memberMatija Kazalicki (član povjerenstva)
Committee memberJuraj Šiftar (član povjerenstva)
Committee memberFilip Najman (član povjerenstva)
GranterUniversity of Zagreb
Faculty of Science
(Department of Mathematics)
Zagreb
Defense date and country2014-07-14, Croatia
Scientific / art field,
discipline and subdiscipline		NATURAL SCIENCES
Mathematics
Abstract
U ovom radu dan je uvod u temu Padéovih aproksimanata i diofantskih aproksimacija. Opisana je problematika iracionalnosti i diofantskih aproksimacija, te Padéovi aproksimanti analitičkih funkcija, čije tablice za binomne funkcije \(f(x) = {(1 - x)}^\alpha, \alpha \in \mathbb{Z}\) rješavamo pomoću Gaussove hipergeometrijske funkcije. Obrađeni su pojam algebarskih brojeva te mjere iracionalnosti. Dokazan je Liouvilleov teorem.
Abstract (english)
Padé approximants and diophantine approximations In this thesis, an introduction to the Padé approximants and diophantine approximations is given. We describe the problem of irrationality and diophantine approximation, and Padé approximants of analytical function, whose table for binomial function is computed by Gauss hypergeometric functions. The notions of algebraic numbers and irrationality measures are studied. The proof of the Liouville theorem is presented.
Keywords
Keywords (english)
Languagecroatian
URN:NBNurn:nbn:hr:217:259907
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 on2019-01-22 12:16:13