1 citations · 3 across the 12 of their papers we have counts for
12 papers
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…
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…
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…
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…
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…
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…
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…
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/…
On normed semigroups
V. N. Krishnachandran
The paper begins by exploring the various definitions of norms on semigroups and then presents a new definition of a normed semigroup. The properties of normed semigroups in the ne…
The geometry of the set of real square roots of
V. N. Krishnachandran
In this paper we study the geometry of the set of real square roots of . After some introductory remarks, we begin our study by deriving by quite elementary methods the fo…
Manifold structures in regular irreducible algebraic monoids
V. N. Krishnachandran
In this paper we study regular irreducible algebraic monoids over $\fldc$ equipped with the euclidean topology. It is shown that, in such monoids, the Green classes and the spaces…
Quadrics via Semigroups
V. N. Krishnachandran
This is the story of the rediscovery of classical three-dimensional geometry, especially the geometry of quadric surfaces, while studying the semigroup of linear e…