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master's thesis
Lokalno-globalni princip
Zagreb: University of Zagreb, Faculty of Science, 2016. urn:nbn:hr:217:817121
Mrkalj, Ivona
University of Zagreb
Faculty of Science
Department of Mathematics

Institutional repository: Repository of the Faculty of Science

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Mrkalj, I. (2016). Lokalno-globalni princip (Master's thesis). Zagreb: University of Zagreb, Faculty of Science. Retrieved from https://urn.nsk.hr/urn:nbn:hr:217:817121

Mrkalj, Ivona. "Lokalno-globalni princip." Master's thesis, University of Zagreb, Faculty of Science, 2016. https://urn.nsk.hr/urn:nbn:hr:217:817121

Mrkalj, Ivona. "Lokalno-globalni princip." Master's thesis, University of Zagreb, Faculty of Science, 2016. https://urn.nsk.hr/urn:nbn:hr:217:817121

Mrkalj, I. (2016). 'Lokalno-globalni princip', Master's thesis, University of Zagreb, Faculty of Science, accessed 23 November 2024, https://urn.nsk.hr/urn:nbn:hr:217:817121

Mrkalj I. Lokalno-globalni princip [Master's thesis]. Zagreb: University of Zagreb, Faculty of Science; 2016 [cited 2024 November 23] Available at: https://urn.nsk.hr/urn:nbn:hr:217:817121

I. Mrkalj, "Lokalno-globalni princip", Master's thesis, University of Zagreb, Faculty of Science, Zagreb, 2016. Available at: https://urn.nsk.hr/urn:nbn:hr:217:817121

Metadata
TitleLokalno-globalni princip
AuthorIvona Mrkalj
MentorFilip Najman (mentor)
Committee memberFilip Najman (predsjednik povjerenstva)
Committee memberMirko Primc (član povjerenstva)
Committee memberTomislav Pejković (član povjerenstva)
Committee memberAndrej Dujella (član povjerenstva)
GranterUniversity of Zagreb
Faculty of Science
(Department of Mathematics)
Zagreb
Defense date and country2016-09-23, Croatia
Scientific / art field,
discipline and subdiscipline		NATURAL SCIENCES
Mathematics
Abstract
Tema ovog diplomskog rada je lokalno-globalni princip. Dokazati ćemo jednu od najznačajnijih posljedica lokalno-globalnog principa teorem Hasse-Minkowskog, koji tvrdi da lokalno globalni princip vrijedi za kvadratne forme. U prvom poglavlju ćemo se upoznati s osnovnim pojmovima i rezultatima teorije brojeva. U drugom i trećem poglavlju smo definirali p-adske brojeve i kvadratne forme, te dokazali teoreme i tvrdnje koje će biti od velike važnosti u dokazivanju teorema Hasse-Minkowski. Ovaj rad zaključiti ćemo s dokazom Hasse-Minkowski teorema, koji ćemo provoditi zasebno za kvadratne forme s 1,2,3,4 i više od 5 varijabli.
Abstract (english)
The theme of this master thesis is the local-global principle. We are going to prove one of the most significant results of the local-global principle the Hasse-Minkowski theorem, which claims that local-global principle is valid for quadratic forms. In the first chapter we are going to get familiar with basic terms and results of number theory. In the second and third chapter we define p-adic numbers and quadratic forms, and prove theorems and statements that will be of significant importance in proving the Hasse-Minkowski theorem. We will conclude this master thesis with a proof of the Hasse-Minkowski theorem, which we will conduct by proving it separately for quadratic forms with 1,2,3,4, and more than 5 variables.
Keywords
Keywords (english)
Languagecroatian
URN:NBNurn:nbn:hr:217:817121
Study programmeTitle: Finance and Business Mathematics
Study programme type: university
Study level: graduate
Academic / professional title: magistar/magistra matematike (magistar/magistra matematike)
Type of resourceText
File originBorn digital
Access conditionsOpen access
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Created on2019-01-25 12:54:40