diplomsko delo
Maja Osterman (Avtor), Marko Razpet (Mentor)

Povzetek

Fibonaccijevo zaporedje in krožna konstanta

Ključne besede

Fibonaccijeva števila;uporaba krožne konstante;zgodovina števila pi;Fibonacci;Leonardo;1170-1240;

Podatki

Jezik: Slovenski jezik
Leto izida:
Izvor: Ljubljana
Tipologija: 2.11 - Diplomsko delo
Organizacija: UL PEF - Pedagoška fakulteta
Založnik: [M. Osterman]
UDK: 511(043.2)
COBISS: 9751881 Povezava se bo odprla v novem oknu
Št. ogledov: 786
Št. prenosov: 155
Ocena: 0 (0 glasov)
Metapodatki: JSON JSON-RDF JSON-LD TURTLE N-TRIPLES XML RDFA MICRODATA DC-XML DC-RDF RDF

Ostali podatki

Sekundarni jezik: Angleški jezik
Sekundarni naslov: The Fibonacci sequence and the circular constant
Sekundarni povzetek: In our diploma thesis we discuss Fibonacci numbers or Fibonacci sequence. We're establishing the recursive formula of the sequence and proving some of its fine characteristics. We're introducing the connection between Fibonacci numbers and Golden Ratio and deriving a formula. In the second part of our thesis we're discussing the history of calculating the circular constant and suitable formulas by some mathematicians, which were active in the same area. In continuation, we're demonstrating the usefulness of calculating with circular constant with various number of decimal places. In the central part we're also demonstrating and proving the connection between Fibonacci numbers and circular constant.
Sekundarne ključne besede: mathematics;matematika;
Vrsta datoteke: application/pdf
Vrsta dela (COBISS): Diplomsko delo
Komentar na gradivo: Univ. Ljubljana, Pedagoška fak., Matematika in računalništvo
Strani: VI, 64 f.
Vrsta dela (ePrints): thesis
Naslov (ePrints): The Fibonacci sequence and the circular constant
Ključne besede (ePrints): Fibonacci
Ključne besede (ePrints, sekundarni jezik): Fibonacci
Povzetek (ePrints): V diplomskem delu obravnavamo Fibonaccijeva števila oziroma Fibonaccijevo zaporedje. Rekurzivno formulo tega zaporedja utemeljujemo ter dokazujemo nekaj lepih lastnosti tega zaporedja. Vpeljemo povezavo Fibonaccijevih števil in zlatega razmerja ter izpeljemo formulo. V drugem delu obravnavamo zgodovino računanja krožne konstante in ustrezne formule nekaterih matematikov, ki so bili dejavni na tem področju. V nadaljevanju pa pokažemo uporabnost računanja s krožno konstanto z različnim številom decimalnih mest. V osrednjem delu tudi pokažemo in dokažemo povezavo med Fibonaccijevimi števili in krožno konstanto.
Povzetek (ePrints, sekundarni jezik): In our diploma thesis we discuss Fibonacci numbers or Fibonacci sequence. We're establishing the recursive formula of the sequence and proving some of its fine characteristics. We're introducing the connection between Fibonacci numbers and Golden Ratio and deriving a formula. In the second part of our thesis we're discussing the history of calculating the circular constant and suitable formulas by some mathematicians, which were active in the same area. In continuation, we're demonstrating the usefulness of calculating with circular constant with various number of decimal places. In the central part we're also demonstrating and proving the connection between Fibonacci numbers and circular constant.
Ključne besede (ePrints, sekundarni jezik): Fibonacci
ID: 8311644
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