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The Fibonacci sequence and the circular constant

Maja Osterman (2013) The Fibonacci sequence and the circular constant. Diploma thesis.

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    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.

    Item Type: Thesis (Diploma thesis)
    Keywords: Fibonacci, Fibonacci numbers, the Fibonacci sequence, the circular constant, the history of calculating the circular constant
    Number of Pages: 64
    Language of Content: Slovenian
    Mentor / Comentors:
    Mentor / ComentorsIDFunction
    izr. prof. dr. Marko RazpetMentor
    Link to COBISS: http://www.cobiss.si/scripts/cobiss?command=search&base=50126&select=(ID=9751881)
    Institution: University of Ljubljana
    Department: Faculty of Education
    Item ID: 1690
    Date Deposited: 16 Sep 2013 08:59
    Last Modified: 16 Sep 2013 08:59
    URI: http://pefprints.pef.uni-lj.si/id/eprint/1690

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