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master's thesis
Analitičko zasnivanje trigonometrijskih funkcija
Zagreb: University of Zagreb, Faculty of Science, 2014. urn:nbn:hr:217:593096
Borić, Magdalena
University of Zagreb
Faculty of Science
Department of Mathematics

Institutional repository: Repository of the Faculty of Science

Cite this document

Borić, M. (2014). Analitičko zasnivanje trigonometrijskih funkcija (Master's thesis). Zagreb: University of Zagreb, Faculty of Science. Retrieved from https://urn.nsk.hr/urn:nbn:hr:217:593096

Borić, Magdalena. "Analitičko zasnivanje trigonometrijskih funkcija." Master's thesis, University of Zagreb, Faculty of Science, 2014. https://urn.nsk.hr/urn:nbn:hr:217:593096

Borić, Magdalena. "Analitičko zasnivanje trigonometrijskih funkcija." Master's thesis, University of Zagreb, Faculty of Science, 2014. https://urn.nsk.hr/urn:nbn:hr:217:593096

Borić, M. (2014). 'Analitičko zasnivanje trigonometrijskih funkcija', Master's thesis, University of Zagreb, Faculty of Science, accessed 23 December 2024, https://urn.nsk.hr/urn:nbn:hr:217:593096

Borić M. Analitičko zasnivanje trigonometrijskih funkcija [Master's thesis]. Zagreb: University of Zagreb, Faculty of Science; 2014 [cited 2024 December 23] Available at: https://urn.nsk.hr/urn:nbn:hr:217:593096

M. Borić, "Analitičko zasnivanje trigonometrijskih funkcija", Master's thesis, University of Zagreb, Faculty of Science, Zagreb, 2014. Available at: https://urn.nsk.hr/urn:nbn:hr:217:593096

Metadata
TitleAnalitičko zasnivanje trigonometrijskih funkcija
AuthorMagdalena Borić
MentorZvonko Iljazović (mentor)
Committee memberZvonko Iljazović (predsjednik povjerenstva)
Committee memberMaja Starčević (član povjerenstva)
Committee memberOzren Perše (član povjerenstva)
Committee memberZrinka Franušić (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 diplomskom radu se postepeno, geometrijski i analitički, izgrađuju trigonometrijske funkcije sinus i kosinus. Rad se sastoji od pet poglavlja. U prvom se poglavlju bavimo pojmom konvergencije i omeđenosti nizova te svojstvima nizova. U drugom se poglavlju bavimo pojmom neprekidne funkcije te promatramo dosad uočena svojstva i u metričkom prostoru. U trećem poglavlju proučavamo derivabilne i integrabilne funkcije. U četvrtom poglavlju proučavamo pojam luka, rektifikabilnosti luka, a zatim definiramo duljinu luka. U zadnjem, petom poglavlju, geometrijski izgrađujemo trigonometrijske funkcije preko namatanja pravca na kružnicu, a zatim analitički preko redova potencija.
Abstract (english)
In this theses we gradually built geometrically and analytically trigonometric functions sine and cosine. This thesis is divided into five chapters. In the first chapter we examine notion of convergence and boundedness properties of sequences. In the second chapter we introduce the concept of a continuous function and consider the previously observed properties also in a metric space. In the third chapter we examine derivable and integrable functions. In the fourth chapter, we study the notions of an arc and a rectificable arc and then we define the length of an arc. In the final, fifth chapter, we build geometrically trigonometric functions through the winding of a line around the circle, and then analytically through the series.
Keywords
Keywords (english)
Languagecroatian
URN:NBNurn:nbn:hr:217:593096
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 conditionsAccess restricted to students and staff of home institution
Terms of useLicence In copyright icon
Created on2017-06-07 11:05:30