Višina in presežek pitagorejskih trojk

diplomsko delo

Vesna Požun (Author), Daniel Eremita (Mentor)

Abstract

Pitagorejska trojka (a,b,c) je urejena trojica naravnih števil, za katere velja, da je a^2+b^2=c^2. Namen diplomskega dela je predstaviti parametrizacijo pitagorejskih trojk z višino in presežkom in izpeljati rezultate, ki opisujejo strukturo množice pitagorejskih trojk. Prvo poglavje je namenjeno predstavitvi značilnosti grške matematike. V drugem poglavju je predstavljena parametrizacija pitagorejskih trojk z višino in presežkom, tretje poglavje pa je namenjeno obravnavi operacij na množici pitagorejskih trojk.

Keywords

matematika;pitagorejska trojka;drevesa;monoidi;grupe;množice;diplomska dela;

Data

Language:	Slovenian
Year of publishing:	2012
Source:	Maribor
Typology:	2.11 - Undergraduate Thesis
Organization:	UM FNM - Faculty of Natural Sciences and Mathematics
Publisher:	[V. Požun]
UDC:	51(043.2)
COBISS:	19536136
Views:	1084
Downloads:	98
Average score:	0 (0 votes)
Metadata:

Other data

Secondary language:	English
Secondary title:	HEIGHT AND EXCESS OF PYTHAGOREAN TRIPLES
Secondary abstract:	A Pythagorean triple (a,b,c) consists of three positive integers a, b and c, such that a^2+b^2=c^2. The purpose of this thesis is to present the height-excess enumeration of Pythagorean triples and present some results describing the set of Pythagorean triples. First chapter represents features of Greek mathematics. The second chapter represents the height-excess enumeration of Pythagorean triples. Third chapter represents algebraic operations on sets of generalized Pythagorean triples.
Secondary keywords:	Pythagorean triples;primitive Pythagorean triples;Barning tree;The Beauregard-Suryanarayan monoid;The Beauregard-Suryanarayan group;
URN:	URN:SI:UM:
Type (COBISS):	Undergraduate thesis
Thesis comment:	Univ. v Mariboru, Fak. za naravoslovje in matematiko, Oddelek za metematiko in računalništvo
Pages:	51 f.
Keywords (UDC):	mathematics;natural sciences;naravoslovne vede;matematika;mathematics;matematika;
ID:	1002949