Approximation for PI using simple continued fraction

Rachel Jaya Prakash, (2007) Approximation for PI using simple continued fraction. Universiti Malaysia Sabah. (Unpublished)

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Abstract

Pi, denoted as π, is a famous mathematical constant and it existed more than 4000 years ago. It is an irrational number which was proven by the Alsatian mathematician and it is also transcendental which was proven by Johann Heinrich Lambert. The main objective of this dissertation is to get an approximation for 1 π by using Microsoft Excel 2003 software and also to learn and understand simple continued fraction. The value of π ( used for the computation is π = 3.14159265358979. Simple continued fraction is the method used to solve this problem and it is therefore explained in detail in this dissertation. In the process of getting a good approximation of an irrational number such as π, the convergents of the simple continued fraction of π is a good approximation. The results shows 165 approximations of π by using the value π = 3.14159265358979.

Item Type: Academic Exercise
Uncontrolled Keywords: Mathematics, Mathematical constant, Pi (Ï€), Alsation Mathematics, Simple continued fraction
Subjects: Q Science > QA Mathematics
?? QA273-280 ??
Divisions: SCHOOL > School of Science and Technology
Depositing User: Unnamed user with email storage.bpmlib@ums.edu.my
Date Deposited: 05 Dec 2011 07:29
Last Modified: 12 Oct 2017 03:28
URI: http://eprints.ums.edu.my/id/eprint/599

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