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master's thesis
Matematička indukcija
Zagreb: University of Zagreb, Faculty of Science, 2023. urn:nbn:hr:217:305800
Juranović, Karla
University of Zagreb
Faculty of Science
Department of Mathematics

Institutional repository: Repository of the Faculty of Science

Cite this document

Juranović, K. (2023). Matematička indukcija (Master's thesis). Zagreb: University of Zagreb, Faculty of Science. Retrieved from https://urn.nsk.hr/urn:nbn:hr:217:305800

Juranović, Karla. "Matematička indukcija." Master's thesis, University of Zagreb, Faculty of Science, 2023. https://urn.nsk.hr/urn:nbn:hr:217:305800

Juranović, Karla. "Matematička indukcija." Master's thesis, University of Zagreb, Faculty of Science, 2023. https://urn.nsk.hr/urn:nbn:hr:217:305800

Juranović, K. (2023). 'Matematička indukcija', Master's thesis, University of Zagreb, Faculty of Science, accessed 06 October 2024, https://urn.nsk.hr/urn:nbn:hr:217:305800

Juranović K. Matematička indukcija [Master's thesis]. Zagreb: University of Zagreb, Faculty of Science; 2023 [cited 2024 October 06] Available at: https://urn.nsk.hr/urn:nbn:hr:217:305800

K. Juranović, "Matematička indukcija", Master's thesis, University of Zagreb, Faculty of Science, Zagreb, 2023. Available at: https://urn.nsk.hr/urn:nbn:hr:217:305800

Metadata
TitleMatematička indukcija
Title (english)Mathematical induction
AuthorKarla Juranović
MentorBoris Širola (mentor)
Committee memberBoris Širola (predsjednik povjerenstva)
Committee memberAna Prlić (član povjerenstva)
Committee memberZvonko Iljazović (član povjerenstva)
Committee memberMladen Jurak (član povjerenstva)
GranterUniversity of Zagreb
Faculty of Science
(Department of Mathematics)
Zagreb
Defense date and country2023-07-18, Croatia
Scientific / art field,
discipline and subdiscipline		NATURAL SCIENCES
Mathematics
Abstract
U ovom radu detaljnije razmatramo princip matematičke indukcije, koji se temelji na jednom od Peanovih aksioma. Prikazujemo različite vrste matematičke indukcije i pružamo dokaze za svaku od njih, istovremeno koristeći primjere kako bismo ih ilustrirali. Nadalje, bavimo se primjenom indukcije u raznim područjima matematike uključujući kombinatoriku, teoriju brojeva i linearnu algebru. Posebno se bavimo i primjenom matematičke indukcije u dokazima raznih identiteta.
Abstract (english)
In this paper, we examine in detail the principle of mathematical induction, which is based on one of Peano’s axioms. We present various types of mathematical induction and provide proofs for each of them, using examples to illustrate the concepts. Furthermore, we explore the application of induction in various areas of mathematics, including combinatorics, number theory, and linear algebra. Additionally, we show application of mathematical induction in proving various identities.
Keywords
Keywords (english)
Languagecroatian
URN:NBNurn:nbn:hr:217:305800
Study programmeTitle: Mathematics and Computer Science Education; specializations in: Mathematics and Computer Science Education
Course: Mathematics and Computer Science Education
Study programme type: university
Study level: graduate
Academic / professional title: sveučilišni magistar edukacije matematike i informatike (sveučilišni magistar edukacije matematike i informatike)
Type of resourceText
File originBorn digital
Access conditionsOpen access
Terms of useLicence In copyright icon
Created on2024-02-08 16:21:21