diplomsko delo
Sabina Bunšek (Author), Dušan Pagon (Mentor)

Abstract

V diplomskem delu obravnavam Heronove trikotnike in štirikotnike, katerih stranice tvorijo aritmetično zaporedje. Opisana je povezava med takšnimi trikotniki in pitagorejskimi trojicami. Pri iskanju ustreznih štirikotnikov sem uporabila teorijo racionalnih točk na eliptičnih krivuljah. V zadnjem poglavju sem podrobneje opisala eliptične krivulje.

Keywords

matematika;Heronov trikotnik;aritmetičen trikotnik;pitagorejske trojice;eliptična krivulja;diplomska dela;

Data

Language: Slovenian
Year of publishing:
Source: Maribor
Typology: 2.11 - Undergraduate Thesis
Organization: UM FNM - Faculty of Natural Sciences and Mathematics
Publisher: [S. Bunšek]
UDC: 51(043.2)
COBISS: 16751624 Link will open in a new window
Views: 2809
Downloads: 228
Average score: 0 (0 votes)
Metadata: JSON JSON-RDF JSON-LD TURTLE N-TRIPLES XML RDFA MICRODATA DC-XML DC-RDF RDF

Other data

Secondary language: English
Secondary title: Heron triangles and quadrilaterals
Secondary abstract: In my diploma paper I present Heron triangles and quadrilaterals, whose sides form an arithmetic progression. Our attention is also focused upon the correlation among those kinds of triangles and Pythagorean triples. In order to find relevant quadrilaterals I based my research on theory about rational points on elliptic curves. The last chapter is a detailed description of elliptic curves.
Secondary keywords: Heron triangles;arithmetic triangles;Pythagorean triples;elliptic curve;
URN: URN:SI:UM:
Type (COBISS): Undergraduate thesis
Thesis comment: Univ. v Mariboru, Fak. za naravoslovje in matematiko, Oddelek za matematiko in računalništvo
Pages: 35 f.
Keywords (UDC): mathematics;natural sciences;naravoslovne vede;matematika;mathematics;matematika;
ID: 17681
Recommended works:
, diplomsko delo
, diplomsko delo
, Delaware State University, Delaware, US, 16 May, 2003
, Visiting Assistant Professor, 1.10.-31.12.2008, Ohio State University, Columbus, Ohio, USA
, študijsko gradivo