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2026-03-17T09:51:18Z

minor edit

← Older revision		Revision as of 15:21, 17 March 2026
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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 = ~~Halayudha~~		\| name = Halāyudha
	\| fullname =		\| fullname =
	\| birth_date = c. 10th century AD		\| birth_date = c. 10th century AD
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	\| main_interests = [[Sanskrit]] [[mathematician]]		\| main_interests = [[Sanskrit]] [[mathematician]]
	\| notable_ideas =		\| notable_ideas =
	\| major_works = ''Mṛtasañjīvanī'' and "~~Halayudha trikon~~"		\| major_works = ''Mṛtasañjīvanī'' and "Halāyudha trikoņa"
	\| influences =		\| influences =
	\| influenced =		\| influenced =
	}}		}}

	'''~~Halayudha~~''' ([[Sanskrit]]: हलायुध) ~~was a 10th-century [[India]]n [[mathematician]] who~~ wrote the '''''{{IAST\|Mṛtasañjīvanī}}''''',<ref>Maurice Winternitz, ''History of Indian Literature'', Vol. III</ref> a [[~~close reading\|commentary~~]] on [[~~Pingala~~]]~~'s ''Chandaḥśāstra''. The latter contains~~ a ~~clear description~~ of [[~~Pascal's triangle~~]] (~~called~~ ''meru-prastāra'').{{cn\|date=~~July 2021~~}}		'''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 ==
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	* ''Abhidhana-ratna-mala'', a lexicon		* ''Abhidhana-ratna-mala'', a lexicon
	* ''Halāyudha Kośa'', a dictionary		* ''Halāyudha Kośa'', a dictionary
	* He seems to be the first person who came out with the idea of what is today called the Pascal's triangle, which he called the staircase of mount Meru.{{cn\|date=July 2021}}

	==See also==		==See also==
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	=== Bibliography ===		=== Bibliography ===
	History of ~~Rashtakutas~~		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:Paramara kingdom]]~~
	[[Category:Indian Sanskrit scholars]]		[[Category:Indian Sanskrit scholars]]


	{{asia-mathematician-stub}}		{{asia-mathematician-stub}}

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2021-07-28T19:38:06Z

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{{short description|Indian mathematician}}
{{Use dmy dates|date=March 2017}}
{{Use Indian English|date=March 2017}}
{{Infobox scholar
| name = Halayudha
| fullname =
| birth_date = c. 10th century AD
| birth_place =
| death_date =
| death_place =
| main_interests = [[Sanskrit]] [[mathematician]]
| notable_ideas =
| major_works = ''Mṛtasañjīvanī'' and "Halayudha trikon"
| influences =
| influenced =
}}

'''Halayudha''' ([[Sanskrit]]: हलायुध) was a 10th-century [[India]]n [[mathematician]] who wrote the '''''{{IAST|Mṛtasañjīvanī}}''''',<ref>Maurice Winternitz, ''History of Indian Literature'', Vol. III</ref> a [[close reading|commentary]] on [[Pingala]]'s ''Chandaḥśāstra''. The latter contains a clear description of [[Pascal's triangle]] (called ''meru-prastāra'').{{cn|date=July 2021}}

== 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}}

== Works ==

Halayudha composed the following works:{{sfn|Ganga Prasad Yadava|1982|p=228}}

* ''Kavi-Rahasya'', a book on poetics
* ''Mṛta-Sañjīvanī'', a commentary on Pingala's ''Chandaḥ-śāstra''
* ''Abhidhana-ratna-mala'', a lexicon
* ''Halāyudha Kośa'', a dictionary
* He seems to be the first person who came out with the idea of what is today called the Pascal's triangle, which he called the staircase of mount Meru.{{cn|date=July 2021}}

==See also==
*[[Indian mathematicians]]

== References ==
{{reflist}}

=== Bibliography ===
History of Rashtakutas

* {{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}}

{{authority control}}

[[Category:10th-century Indian mathematicians]]
[[Category:Paramara kingdom]]
[[Category:Indian Sanskrit scholars]]

{{asia-mathematician-stub}}

Halayudha - Revision history

CatharineJorgens: minor edit

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