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Approximation of Pi

Jansson, Madeleine LU (2019) In Bachelor's Theses in Mathematical Sciences FMAL01 20191
Mathematics (Faculty of Engineering)
Abstract
The inverse tangent function can be used to approximate pi. When approximating pi, the convergence of infinite series or Products are of great importance for the accuracy in the digits in pi. This thesis will present historical Formulas used to approximate pi, especially Gregory-Leibniz and Machin's. Also, the unique Machin two-term formulas will be presented and discussed to show that Machin's way of calculating pi has had great impact on calculating this number.
Popular Abstract (Swedish)
Vi diskuterar metoder för att hitta närmevärden till pi via serieutvecklingar och komplexa tal, med hjälp av så kallade Machin-liknande formler. Vi ger även en kortfattad beskrivning av appxoixmationsmetoder som använts genom historien.
Please use this url to cite or link to this publication:
author
Jansson, Madeleine LU
supervisor
organization
course
FMAL01 20191
year
type
M2 - Bachelor Degree
subject
publication/series
Bachelor's Theses in Mathematical Sciences
report number
LUTFMA-4006-2019
ISSN
1654-6229
other publication id
2019:K15
language
English
id
8983341
date added to LUP
2019-06-20 10:46:44
date last changed
2024-09-30 11:09:19
@misc{8983341,
  abstract     = {{The inverse tangent function can be used to approximate pi. When approximating pi, the convergence of infinite series or Products are of great importance for the accuracy in the digits in pi. This thesis will present historical Formulas used to approximate pi, especially Gregory-Leibniz and Machin's. Also, the unique Machin two-term formulas will be presented and discussed to show that Machin's way of calculating pi has had great impact on calculating this number.}},
  author       = {{Jansson, Madeleine}},
  issn         = {{1654-6229}},
  language     = {{eng}},
  note         = {{Student Paper}},
  series       = {{Bachelor's Theses in Mathematical Sciences}},
  title        = {{Approximation of Pi}},
  year         = {{2019}},
}