Basic Mathematics

Author(s): L C Jain
Publisher: Rajasthan Prakrit Bharti Sansthan Jaipur

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moving beings, cannot exist as apart from ganita (measurement and calculation)6."
Mahāvirācārya further points out, "Thus the terminology is stated briefly by the great sages. What still remains to be said should be learnt in detail from the Agamas?".
(b) Texts on Karananuyoga group :
The above description clearly leads one to the Agamas (on Karma theory in particular) wherein lie the deep secrets of periodic events in nature involving as many as ten types of infinities. The main texts of the Karaṇānuyoga group, in which either mathematics has been developed as post-universal study of measures or applied in form of results through analysis and comparability, are a few one. They are the Kasayapāhuḍa, the Saṭkhandagama, the Tiloyapanņatti, as well as their extracts in form of the Kṣapaṇāsāra (including Labdhisāra), the Gommaṭasāra, and the Trilokasāra. Their Dhavalā, Jaidhavalā, Mahādhavala, JIvatattva pradipika and Samyakjñānacandrikā commentaries deserve special attention of mathemati
cians.9
Research on Jaina School of Mathematics has been very active after Rangācārya and Smith 10 who found rich and resourceful guidelines from Mahāvirācāryaś Ganita Sara Saṁgraha, after+1912. Since then the Dhavala and the Tiloyapanṇatti texts inspired Singh to write in more details after an introductory article by Datta, at the instance of Dr. H. L. Jain who was engaged in the translations of the Prakrit Saṭkhaṇḍāgama and other texts for a period of no less than thirty years into Hindi. After contributing several articles on Jaina Mathematics, Datta, had still felt diffident in manipulating his articles, 11 and remarked, "The writer who has only recently began collecting materials for a full and comprehensive account of the contribution
6.
7.
8.
Cf. ibid. pp. 9-10.
Cf. ibid. p. 70.
Nominal, attributed, fluent, numerical, dimensionless, mono, bi, areal, spatial, phase, indestructible (everlasting) infinities, Cf. Dhavalā, III, pp. 11-16.
Cf. bibliography.
9.
10. Cf. bibliography of research papers on Jaina School of Exact Sciences. 11. The Jaina School of Mathematics, op. cit., B.C.M.S., 21 (1929), 115145.
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