Square root formulae in the Śulbasũtras and Bakhshãlĩ manuscript

The present investigations are focused on the extension of the square root formulae in the Śulbasũtras and the Bakhshãlĩ Manuscript. Two new iterative methods are being proposed using Bramhagupta's lemmas and Narayana's Varga-Prakrti in the Śulbasũtras. The square root formula in the Bakhs...

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Bibliographic Details
Published in:	Journal of interdisciplinary mathematics Vol. 23; no. 1; pp. 1 - 10
Main Authors:	Gadtia, Subigyan, Padhan, Saroj Kumar, Bhoi, Bandan Kumar
Format:	Journal Article
Language:	English
Published:	Taylor & Francis 02-01-2020
Subjects:	Bakhshãlĩ Manuscript Bramhagupta's lemmas Newton-Raphson Method Square Root Śulbasũtras
Online Access:	Get full text
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Summary:	The present investigations are focused on the extension of the square root formulae in the Śulbasũtras and the Bakhshãlĩ Manuscript. Two new iterative methods are being proposed using Bramhagupta's lemmas and Narayana's Varga-Prakrti in the Śulbasũtras. The square root formula in the Bakhshãlĩ Manuscript has been redefined and hence, the results obtained have been compared with the Newton-Raphson Method using Field Programmable Gate Array (FPGA) based tools. It is oserved that the performance of the proposed method is faster and better in all respects than that of Newton-Raphson method. Further, several counterexamples are provided to support the new findings. Moreover, it is seen that some of the earlier works are the particular cases of the present study.
ISSN:	0972-0502 2169-012X
DOI:	10.1080/09720502.2020.1721640