An Iterative Approximation of π
Nair, Thamban M. (2022) An Iterative Approximation of π. At Right Angles (14). pp. 8491. ISSN 25821873
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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: 


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  
URI:  http://publications.azimpremjiuniversity.edu.in/id/eprint/4163  
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