Halayudha

Halāyudha (Sanskrit: हलायुध) wrote the Mṛtasañjīvanī, a commentary on Pingala's Chandaḥśāstra, was an Indian Mathematician and poet who lived and worked in the 10th century.^[1] The Chandaḥśāstra by the Indian lyricist Piṅgala (3rd or 2nd century BC) somewhat crypically describes a method of arranging two types of syllables to form metres of various lengths and counting them; as interpreted and elaborated by Halāyudha his "method of pyramidal expansion" (meru-prastāra) for counting metres is equivalent to Pascal's triangle.^[2][3]

Halāyudha
Born	c. 10th century AD
Academic work
Main interests	Sanskrit mathematician
Notable works	Mṛtasañjīvanī and "Halāyudha trikoņa"

Biography

Halayudha originally resided at the Rashtrakuta capital Manyakheta, now located in Karnataka, where he wrote under the patronage of emperor Krishna III. His Kavi-Rahasya eulogizes Krishna III. Later, he migrated to Ujjain in the Paramara kingdom. There, he composed Mṛta-Sañjīvanī in honour of the Paramara king Munja.^[4]

Works

Halayudha composed the following works:^[4]

• Kavi-Rahasya, a book on poetics
• Mṛta-Sañjīvanī, a commentary on Pingala's Chandaḥ-śāstra
• Abhidhana-ratna-mala, a lexicon
• Halāyudha Kośa, a dictionary

See also

• Indian mathematicians

References

1. Maurice Winternitz, History of Indian Literature, Vol. III
2. Ramasubramanian, K (8 November 2019). Gaṇitānanda: Selected Works of Radha Charan Gupta on History of Mathematics. Springer. ISBN 9789811312298.
3. Gavin Hitchcock, Alexander Zawaira (31 October 2008). A Primer for Mathematics Competitions. Oxford University. ISBN 9780191561702.
4. Ganga Prasad Yadava 1982, p. 228.

Bibliography

History of Rashtrakutas

• Ganga Prasad Yadava (1982). Dhanapāla and His Times: A Socio-cultural Study Based Upon His Works. Concept. OCLC 9760817.