गणितसारसंग्रह (महावीराचार्य - प्रो. लक्ष्मीचन्द्र जैन सविस्तार हिन्दी अनुवाद सटीक)

गणितसारसंग्रह ६७
calculated to lead to the conclusion that, in all probability,
Mahāvīrācārya was familiar with the work of Brahmagupta and
endeavoured to improve upon it to the extent to which the scope
of his Gaṇita-sāra-saṅgraha permitted such improvement. Mahāvīrā-
chārya’s classification of arithmetical operations is simpler, his
rules are fuller and he gives a large number of examples for
illustration and exercise. Pṛthūdaksvāmin, the well-known commen-
tator on the Brahmasphuṭa-siddhānta, could not have been chronolo-
gically far removed form Mahāvīrācārya, and the similarity of some
of the examples given by the former with some of those of the latter
naturally arrests attention. In any case it cannot be wrong to believe,
that, at the time, when Mahāvīrācārya wrote his Gaṇita-sāra-saṅgraha,
Brahmagupta must have been widely recognized as a writer of
authority in the field of Hindu astronomy and mathematics. Whether
Bhāskarācārya was at all acquainted with the Gaṇita-sāra-saṅgraha
of Mahāvīrācārya, it is not quite easy to say. Since neither
Bhāskarācārya nor any of his known commentators seem to quote
from him or mention him by name, the natural conclusion appears
to be that Bhāskarācārya’s Siddhānta-śirōmaṇi, including his
Līlāvatī and Bījagaṇita, was intended to be an improvement in the
main upon the Brahmasphuṭa-siddhānta of Brahmagupta. The fact
that Mahāvīrācārya was a Jaina might have prevented Bhāskarācārya
from taking note of him; or it may be that the Jaina mathematician’s
fame had not spread far to the north in the twelfth century of the
Christian era. His work, however, seems to have been widely known
and appreciated in Southern India. So early as in the course
of the eleventh century and perhaps under the stimulating
influence of the enlightened rule of Rājarājanarēndra of
Rajahmundry, it was translated into Telugu in verse by Pāvulūri
Mallana; and some manuscripts of this Telugu translation are now
to be found in the Government Oriental Manuscripts Library here
at Madras. It appeared to me that to draw suitable attention to
the historical value of Mahāvīrācārya’s Gaṇita-sāra-saṅgraha, I could
not do better than seek the help of Dr. David Eugene Smith of the
Columbia University of New York, whose knowledge of the history
of mathematics in the West and in the East is known to be wide