An Iterative Approximation of π

Nair, Thamban M. (2022) An Iterative Approximation of π. At Right Angles (14). pp. 84-91. ISSN 2582-1873

Text - Published Version Download (353kB)

Abstract

The number π is ubiquitous in mathematics and in diverse fields of knowledge from ancient times. It is known that π is not a rational number. Also, it is known that it cannot be expressed in a compact form using simple arithmetic operations such as addition, subtraction, multiplication, division, or by taking roots. In other words, π is not an algebraic number. (A real number is an algebraic number if it is a zero of a polynomial with integer coefficients.)

Item Type:	Articles in APF Magazines
Authors:	Nair, Thamban M.
Document Language:	Language English
Uncontrolled Keywords:	pi, approximation, iteration, limit, calculus, sequence, algebraic number, polynomial, real number, integer, Archimedes, Madhava, Leibniz
Subjects:	Natural Sciences > Mathematics
Divisions:	Azim Premji University - Bengaluru > University Publications > At Right Angles
Full Text Status:	Public
URI:	http://publications.azimpremjiuniversity.edu.in/id/eprint/4163
Publisher URL:

Actions (login required)

View Item