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: |
|
||
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 | ||
Publisher URL: |
Actions (login required)
![]() |
View Item |
CORE (COnnecting REpositories)