Use of permutations and combinations in India
@article{Kolachana2019UseOP, title={Use of permutations and combinations in India}, author={Aditya Kolachana and K. Mahesh and K. Ramasubramanian}, journal={Sources and Studies in the History of Mathematics and Physical Sciences}, year={2019} }
Interest of the Hindus in the subject of permutations and combinations originated in connection with the variation of the Vedic metres in a very early age. There are specific rules for the calculation of the variation of metres in the Chandaḥ-sūtra of Piṅgala (before 200 BC). Permutations and combinations seem to have been subjects of such a fascinating study for the Hindus that they applied the ideas about them in various other spheres of life, e. g. architecture, music, medicine, and…
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Music Theory, Mathematics, and Patterns of Innovation in the Saṅgītaratnākara
- ArtAsiatische Studien - Études Asiatiques
- 2018
Abstract This paper investigates the relationship between textuality and mathematics in the Saṅgītaratnākara, a Sanskrit work on music composed in the thirteenth century by Śārṅgadeva. Within the…