Pitagorejske trojice in Pellova enačba

Abstract

Keywords

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Language:	Slovenian
Year of publishing:	2012
Source:	Ljubljana
Typology:	2.11 - Undergraduate Thesis
Organization:	UL PEF - Faculty of Education
Publisher:	[K. Hočevar]
UDC:	51(043.2)
COBISS:	9304649
Views:	769
Downloads:	122
Average score:	0 (0 votes)
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Secondary language:	English
Secondary title:	Pythagorean triples and Pell's equation
Secondary abstract:	In the diploma work the square Diophantine equations are presented, attached to Pythagoras' Theorem and are tightly linked to Pell's equation , where D represents a natural number which is not a perfect square. The Cattle Problem is discussed, which can be translated into Pell's equation . To Pell's equation are leading also the square triangular numbers.
Secondary keywords:	mathematics;matematika;
File type:	application/pdf
Type (COBISS):	Undergraduate thesis
Thesis comment:	Univ. Ljubljana, Pedagoška fak., Matematika in fizika [in] Fak. za matematiko in fiziko
Pages:	64 f.
Type (ePrints):	thesis
Title (ePrints):	Pythagorean triples and Pell's equation
Keywords (ePrints):	diofantska enačba
Keywords (ePrints, secondary language):	Diophantine equation
Abstract (ePrints):	V diplomskem delu so podrobneje predstavljene kvadratne diofantske enačbe, ki se navezujejo na Pitagorov izrek in so tesno povezane s Pellovo enačbo , kjer je D naravno število ter ni popolni kvadrat. Obravnavan je tudi Arhimedov problem o govedu, ki ga lahko prevedemo na Pellovo enačbo . Do Pellove enačbe pa nas privedejo tudi kvadratna trikotniška števila
Abstract (ePrints, secondary language):	In the diploma work the square Diophantine equations are presented, attached to Pythagoras' Theorem and are tightly linked to Pell's equation , where D represents a natural number which is not a perfect square. The Cattle Problem is discussed, which can be translated into Pell's equation . To Pell's equation are leading also the square triangular numbers.
Keywords (ePrints, secondary language):	Diophantine equation
ID:	8310537