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Identifying Irrationals

Journal: International Journal of Science and Research (IJSR) (Vol.6, No. 3)

Publication Date:

Authors : ;

Page : 1849-1851

Keywords : Irrational Numbers; Sequence and Sub-sequence; Cauchy Sequence; Convergence; Algebraic Numbers; Approximations;

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Abstract

Irrational numbers have always been a fascination to mathematicians for several millennia. This is because Irrational numbers neither terminate nor repeat in their decimal expansion. Hence exploring the next set of digits after a given decimal place has kept many mathematicians and computer scientists busy in past few decades. A classic example is exploration of digits of the most famous and important real number. In this paper, I shall present a novel method with proof using analysis to find the rational numbers which are very good approximations to the given Irrational Number and present a more general method of finding approximations to all Algebraic numbers.

Last modified: 2021-06-30 18:07:59