Indian Solutions for Conjunct Pulverisers (lafÜy"Vdqêd) From Āryabhaṭa II to Devarāja

By : Shriram M Chauthaiwale

Page No: 193-204

Abstract
After canvassing the solutions for indeterminate linear equations (kuṭṭaka), Indian scholars deliberated on the common solution for the two systems of similar equations under the caption “Conjunct Pulverisers (saṃśliṣṭakuṭṭaka).” Āryabhaṭa II, Mahāvīra, Śrīpatī, Bhāskara II, Nārāyaṇa Paṇḍita, Kṛṣṇa Daivajña, and Devarāja is the chain of the Indian scholars who explained similar or different methods for extracting the solutions. B. Datta discussed some of these methods, and T. Hayashi commented on Devarāja’s methods. S. K. Ganguli discovered an alternative method from the manuscript copies of Līlāvatī. This paper provides the juxtaposed mathematical formats of the methods after translating the relevant verses. Later, these methods are compared. Illustrations from the referred texts are quoted with answers.

Author:
Shriram M Chauthaiwale : Lecturer (Rt) in Mathematics, Amolakchand College, Yavatmal (M.H.)
 

DOI: https://doi.org/10.32381/GB.2022.44.2.3