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Halāyudha
Bornc. 10th century AD
Academic background
Academic work
Main interestsSanskrit mathematician
Notable worksMṛtasañjīvanī and "Halāyudha trikoņa"

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 cryptically 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]

Biography[edit | edit source]

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[edit | edit source]

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[edit | edit source]

References[edit | edit source]

  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. 4.0 4.1 Ganga Prasad Yadava 1982, p. 228.

Bibliography[edit | edit source]

History of Rashtrakutas