On an untapped source of medieval Keralese mathematics

  title={On an untapped source of medieval Keralese mathematics},
  author={C. T. Rajagopal and Mythili Rangachari},
  journal={Archive for History of Exact Sciences},
Presentation d'un manuscrit sanskrit de l'ecole medievale du Kerala (Inde), redige par un eleve de Jyesthadeva, auteur du texte Yukti-bhasa (16 siecle) et reprenant les developpements en serie de sinus, cos, arctg contenus dans le Yujti-bhasa et redecouverts independamment au 17 siecle par J. Gregory, G.W. Leibniz et I. Newton. Essai d'identifier l'auteur des series. 

On medieval Kerala mathematics

The two latter series are also found stated in the Tantrasangraha in the related forms 1 ίπ'2 s3 1 /π'4^5 [Β,] rsine = 5__|_j_ ίπ'2 + _y /π'4^5 __..., and 1 ίπ' s2 1 /π'3 sA M 'COs9 = '-2!(t)t+4!(t)

Eurocentrism in the History of Mathematics: the Case of the Kerala School

To a typical historian of mathematics today, if there is one certainty, it is that Isaac Newton (1642–1727) and Gottfried Leibniz (1646–1716) were the first to ‘invent’ a generalised system of

Mādhavan, the father of analysis

n 1 1 1 1 + + ... (now known as Leibniz's series) 4 3 5 7 had arrived on the mathematical scene more than two centuries and a half before Gregory (1638-1675) and Leibniz (1645-1716). In [1], a

A Passage to Infinity: The Contribution of Kerala to Modern Mathematics

Two powerful tools contributed to the creation of modern mathematics in the seventeenth century: the discovery of the general algorithms of calculus and the development and application of infinite


The objective of this paper is to give a summary of the contributions of Indian mathematicians to a claim about a Diophantine equation in modern times. Vedic literature has contributed to Indian

Development of Calculus in India

In his pioneering history of calculus written sixty years ago, Carl Boyer was totally dismissive of the Indian contributions to the conceptual development of the subject.1 Boyer’s historical overview

Sur l’accélération de la convergence de la « série de Mādhava-Leibniz »

Cet article presente des resultats tres novateurs obtenus entre le milieu du XIV e siecle et le debut du XVI e siecle par des astronomes indiens de l'ecole dite « de Mādhava ». Ces resultats, qui

Glimpses of contributions of some top Indian mathematicians: A review article

Indian mathematics has its deep roots in the Vedas, different from what is known as Vedic Mathematics. Vedic age gave rise to a new era of progress in the field of Science, Technology and

Trigonometria Indiana: o método das diferenças, as séries de potências do seno, cosseno, e as estimativas de 𝜋.

In the following work we present a summary of Indian trignometry based on the work of Ariabata I and his method of building a sine table. In this context, later Indian mathematicians demonstrated how

Mathematics and Eurocentrism

In the 1980s, soon after the publication of the Swann Report, Education for All (DES 1985), there was a growing recognition that the British school curriculum suffered from an ethnocentric bias that



RAJAGOPAL, "On the Hindu quadrature of the circle

  • Journal of the Bombay Branch of the Royal Asiatic Society, N.S.,
  • 1944

VENKATARAMAN, "The sine and cosine power-series in Hindu mathematics

  • Journal of the Royal Asiatic Society of Bengal, Science,
  • 1949