A New Proof for Irrationality of π

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Published: Apr 30, 2025
DOI: https://doi.org/10.54105/ijam.A1196.05010425
Keywords:
Irrational, Mediant, Closed Intervals, Rational Approximations

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Dr. R. Sivaraman
Associate Professor, Department of Mathematics, Dwaraka Doss Goverdhan Doss Vaishnav College, Arumbakkam, Chennai (Tamil Nadu), India.
https://orcid.org/0000-0001-5989-4422
J. Suganthi
Assistant Professor and Head, Department of Mathematics, S.S.K.V. College of Arts and Science for Women, Kilambi, Kanchipuram (Tamil Nadu), India.
P.N. Vijayakumar
B.T. Assistant in Mathematics, Gopalapuram Boys Higher Secondary School, Chennai (Tamil Nadu), India.

Abstract

Ever since Lambert proved that π is irrational in 18th century, lots of wonderful proofs have been provided by various mathematicians. To this day, π remains as one of the most significant and important real number among all real numbers. In this paper, we try to prove that π is irrational in a new and elementary way. In doing so, we have obtained new rational approximations for π.

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How to Cite
[1]
Dr. R. Sivaraman, J. Suganthi, and P.N. Vijayakumar , Trans., “A New Proof for Irrationality of π”, IJAM, vol. 5, no. 1, pp. 32–34, Apr. 2025, doi: 10.54105/ijam.A1196.05010425.
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Vol. 5 No. 1 (2025): Volume-5 Issue-1, April 2025
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How to Cite

[1]
Dr. R. Sivaraman, J. Suganthi, and P.N. Vijayakumar , Trans., “A New Proof for Irrationality of π”, IJAM, vol. 5, no. 1, pp. 32–34, Apr. 2025, doi: 10.54105/ijam.A1196.05010425.
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