Fibonaccijevo zaporedje in krožna konstanta

Abstract

Keywords

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Language:	Slovenian
Year of publishing:	2013
Source:	Ljubljana
Typology:	2.11 - Undergraduate Thesis
Organization:	UL PEF - Faculty of Education
Publisher:	[M. Osterman]
UDC:	511(043.2)
COBISS:	9751881
Views:	786
Downloads:	155
Average score:	0 (0 votes)
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Secondary language:	English
Secondary title:	The Fibonacci sequence and the circular constant
Secondary abstract:	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.
Secondary keywords:	mathematics;matematika;
File type:	application/pdf
Type (COBISS):	Undergraduate thesis
Thesis comment:	Univ. Ljubljana, Pedagoška fak., Matematika in računalništvo
Pages:	VI, 64 f.
Type (ePrints):	thesis
Title (ePrints):	The Fibonacci sequence and the circular constant
Keywords (ePrints):	Fibonacci
Keywords (ePrints, secondary language):	Fibonacci
Abstract (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.
Abstract (ePrints, secondary language):	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.
Keywords (ePrints, secondary language):	Fibonacci
ID:	8311644