Pitagorejske trojice in Pellova enačba

Povzetek

Ključne besede

Podatki

Jezik:	Slovenski jezik
Leto izida:	2012
Izvor:	Ljubljana
Tipologija:	2.11 - Diplomsko delo
Organizacija:	UL PEF - Pedagoška fakulteta
Založnik:	[K. Hočevar]
UDK:	51(043.2)
COBISS:	9304649
Št. ogledov:	769
Št. prenosov:	122
Ocena:	0 (0 glasov)
Metapodatki:

Ostali podatki

Sekundarni jezik:	Angleški jezik
Sekundarni naslov:	Pythagorean triples and Pell's equation
Sekundarni povzetek:	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.
Sekundarne ključne besede:	mathematics;matematika;
Vrsta datoteke:	application/pdf
Vrsta dela (COBISS):	Diplomsko delo
Komentar na gradivo:	Univ. Ljubljana, Pedagoška fak., Matematika in fizika [in] Fak. za matematiko in fiziko
Strani:	64 f.
Vrsta dela (ePrints):	thesis
Naslov (ePrints):	Pythagorean triples and Pell's equation
Ključne besede (ePrints):	diofantska enačba
Ključne besede (ePrints, sekundarni jezik):	Diophantine equation
Povzetek (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
Povzetek (ePrints, sekundarni jezik):	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.
Ključne besede (ePrints, sekundarni jezik):	Diophantine equation
ID:	8310537