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{{short description|Indian mathematician}} | {{short description|10th-century Indian mathematician}} | ||
{{Use dmy dates|date=March 2017}} | {{Use dmy dates|date=March 2017}} | ||
{{Use Indian English|date=March 2017}} | {{Use Indian English|date=March 2017}} | ||
{{Infobox scholar | {{Infobox scholar | ||
| name = | | name = Halāyudha | ||
| fullname = | | fullname = | ||
| birth_date = c. 10th century AD | | birth_date = c. 10th century AD | ||
| Line 11: | Line 11: | ||
| main_interests = [[Sanskrit]] [[mathematician]] | | main_interests = [[Sanskrit]] [[mathematician]] | ||
| notable_ideas = | | notable_ideas = | ||
| major_works = ''Mṛtasañjīvanī'' and " | | major_works = ''Mṛtasañjīvanī'' and "Halāyudha trikoņa" | ||
| influences = | | influences = | ||
| influenced = | | influenced = | ||
}} | }} | ||
''' | '''Halāyudha''' ([[Sanskrit]]: हलायुध) wrote the '''''{{IAST|Mṛtasañjīvanī}}''''', a [[close reading|commentary]] on [[Pingala]]'s ''Chandaḥśāstra'', was an Indian Mathematician and poet who lived and worked in the 10th century.<ref>Maurice Winternitz, ''History of Indian Literature'', Vol. III</ref> 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 [[metre (poetry)|metre]]s 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]].<ref>{{Cite book |title=Gaṇitānanda: Selected Works of Radha Charan Gupta on History of Mathematics |last=Ramasubramanian |first=K |date=2019-11-08 |publisher=Springer |isbn=9789811312298}}</ref><ref>{{Cite book |title=A Primer for Mathematics Competitions |last=Gavin Hitchcock |first=Alexander Zawaira |date=2008-10-31 |publisher=Oxford University |isbn=9780191561702}}</ref> | ||
== Biography == | == Biography == | ||
Halayudha originally resided at the [[Rashtrakuta]] capital [[Manyakheta]], 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 [[Vakpati Munja|Munja]].{{sfn|Ganga Prasad Yadava|1982|p=228}} | 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 dynasty|Paramara]] kingdom. There, he composed ''Mṛta-Sañjīvanī'' in honour of the Paramara king [[Vakpati Munja|Munja]].{{sfn|Ganga Prasad Yadava|1982|p=228}} | ||
== Works == | == Works == | ||
| Line 30: | Line 30: | ||
* ''Abhidhana-ratna-mala'', a lexicon | * ''Abhidhana-ratna-mala'', a lexicon | ||
* ''Halāyudha Kośa'', a dictionary | * ''Halāyudha Kośa'', a dictionary | ||
==See also== | ==See also== | ||
| Line 39: | Line 38: | ||
=== Bibliography === | === Bibliography === | ||
History of | History of Rashtrakutas | ||
* {{cite book |author=Ganga Prasad Yadava |title=Dhanapāla and His Times: A Socio-cultural Study Based Upon His Works |url=https://books.google.com/books?id=aY_I3zgxfpsC&pg=PA32 |publisher=Concept |year=1982 |oclc=9760817 }} | * {{cite book |author=Ganga Prasad Yadava |title=Dhanapāla and His Times: A Socio-cultural Study Based Upon His Works |url=https://books.google.com/books?id=aY_I3zgxfpsC&pg=PA32 |publisher=Concept |year=1982 |oclc=9760817 }} | ||
{{Indian mathematics}} | {{Indian mathematics}} | ||
{{authority control}} | {{authority control}} | ||
[[Category:10th-century Indian mathematicians]] | [[Category:10th-century Indian mathematicians]] | ||
[[Category:Indian Sanskrit scholars]] | [[Category:Indian Sanskrit scholars]] | ||
{{asia-mathematician-stub}} | {{asia-mathematician-stub}} | ||
Latest revision as of 15:21, 17 March 2026
Halāyudha | |
|---|---|
| Born | c. 10th century AD |
| Academic background | |
| Academic work | |
| Main interests | Sanskrit mathematician |
| Notable works | Mṛtasañjīvanī 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]
- ↑ Maurice Winternitz, History of Indian Literature, Vol. III
- ↑ Ramasubramanian, K (8 November 2019). Gaṇitānanda: Selected Works of Radha Charan Gupta on History of Mathematics. Springer. ISBN 9789811312298.
- ↑ Gavin Hitchcock, Alexander Zawaira (31 October 2008). A Primer for Mathematics Competitions. Oxford University. ISBN 9780191561702.
- ↑ 4.0 4.1 Ganga Prasad Yadava 1982, p. 228.
Bibliography[edit | edit source]
History of Rashtrakutas
- Ganga Prasad Yadava (1982). Dhanapāla and His Times: A Socio-cultural Study Based Upon His Works. Concept. OCLC 9760817.
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