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20092024
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1 citations · 3 across the 12 of their papers we have counts for

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8 papers · 1 filter

math.HO2024

On the computation of the arcsin function in the Kerala school of astronomy and mathematics

V. N. Krishnachandran

This paper examines how the mathematicians and astronomers of the Kerala school tackled the problem of computing the values of the arcsin function. Four different approaches are di…

math.HO2024

Samgamagrāma Mādhava: An Updated Biography

V. N. Krishnachandran

This paper presents an updated biography of Samgamagrāma Mādhava incorporating viewpoints expounded by scholars in the recent past and collecting together in one place more details…

math.HO2024

On Śankara Varman's (correct) and Mādhava's (incorrect) values for the circumferences of circles

V. N. Krishnachandran

This paper examines what computational procedures Śankara Varman (1774-1839) and Sangamagrama Mādhava (c. 1340 - 1425), astronomer-mathematicians of the Kerala school, might have u…

math.HO2024★ 1 cited

On Mādhava and his correction terms for the Mādhava-Leibniz series for

V. N. Krishnachandran

This paper is intended to serve two purposes: one, to present an account of the life of Sangamagrāma Mādhava, the founder of the Kerala school of astronomy and mathematics which fl…

math.HO2021

Ramanujan in Computing Technology

V. N. Krishnachandran

This paper is a tribute to the genius of the legendary Indian mathematician Srinivasa Ramanujan (22 December 1887 - 26 April 1920) in the centenary year of his death. The life stor…

math.HO2020★ 1 cited

Differential Equations: A Historical Refresher

V. N. Krishnachandran

This paper presents a brief account of the important milestones in the historical development of the theory of differential equations. The paper begins with a discussion on the dat…

math.HO2016

Where Do the Terms of the Power Series Expansions of Sine and Cosine Functions Come from? Involutes!

V. N. Krishnachandran

In the 1930's, a Russian school teacher Y. S. Chaikovsky presented a proof of the power series expansion of the sine and cosine functions without using calculus. In doing so he als…

math.HO2015

Mystery of the 18th Elephant Solved

V. N. Krishnachandran

This paper attempts to explain the mystery behind an 18th elephant that appears in many popular legends involving the division of a herd of 17 elephants into groups in the ratio 1/…