An Iterative Approximation of π

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

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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:
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 > University Publications > At Right Angles
Full Text Status: Public
Publisher URL:

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