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Continued fractions and infinite series

Katja Skubic (2014) Continued fractions and infinite series. Diploma thesis.

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    Abstract

    The intention of this diploma is to present the concept of continued fractions, their conection with infinite series and some analitical functions. There will be also presented the concept of numerical series. There is a lot of history behind the continued fractions. I will only mention a few most important names which are linked with beginnings of continued fractions. At the end I will present two most known constants, numbers pi and e. I will try to write them with continued fractions using infinite series because of their close connection.

    Item Type: Thesis (Diploma thesis)
    Keywords: continued fraction, infinite series, infinite continued fraction, constant pi, constant e, Taylor series
    Number of Pages: 32
    Language of Content: Slovenian
    Mentor / Comentors:
    Mentor / ComentorsIDFunction
    izr. prof. dr. Marko SlaparMentor
    asist. dr. Tadej StarčičComentor
    Link to COBISS: http://www.cobiss.si/scripts/cobiss?command=search&base=50126&select=(ID=10216009)
    Institution: University of Ljubljana
    Department: Faculty of Education
    Item ID: 2464
    Date Deposited: 06 Oct 2014 07:28
    Last Modified: 06 Oct 2014 07:28
    URI: http://pefprints.pef.uni-lj.si/id/eprint/2464

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