Halayudha (

Sanskrit Sanskrit (; attributively , ; nominally , , ) is a classical language belonging to the Indo-Aryan branch of the Indo-European languages. It arose in South Asia after its predecessor languages had diffused there from the northwest in the late ...

: हलायुध) was a 10th-century

India India, officially the Republic of India (Hindi: ), is a country in South Asia. It is the seventh-largest country by area, the second-most populous country, and the most populous democracy in the world. Bounded by the Indian Ocean on the so ...

mathematician A mathematician is someone who uses an extensive knowledge of mathematics in their work, typically to solve mathematical problems. Mathematicians are concerned with numbers, data, quantity, structure, space, models, and change. History On ...

who wrote the ',Maurice Winternitz, ''History of Indian Literature'', Vol. III a

commentary Commentary or commentaries may refer to: Publications * ''Commentary'' (magazine), a U.S. public affairs journal, founded in 1945 and formerly published by the American Jewish Committee * Caesar's Commentaries (disambiguation), a number of works ...

Pingala Acharya Pingala ('; c. 3rd2nd century BCE) was an ancient Indian poet and mathematician, and the author of the ' (also called the ''Pingala-sutras''), the earliest known treatise on Sanskrit prosody. The ' is a work of eight chapters in the late ...

's ''Chandaḥśāstra''. The latter contains a clear description of

Pascal's triangle In mathematics, Pascal's triangle is a triangular array of the binomial coefficients that arises in probability theory, combinatorics, and algebra. In much of the Western world, it is named after the French mathematician Blaise Pascal, although ot ...

(called ''meru-prastāra'').

Biography

Halayudha originally resided at the

Rashtrakuta Rashtrakuta (IAST: ') (r. 753-982 CE) was a royal Indian dynasty ruling large parts of the Indian subcontinent between the sixth and 10th centuries. The earliest known Rashtrakuta inscription is a 7th-century copper plate grant detailing their ...

capital

Manyakheta Malkhed originally known as Manyakheta (IAST: Mānyakheṭa, Prakrit: "Mannakheḍa"), and also known as Malkhed,Village code= 311400 Malkhed (J), Gulbarga, Karnataka is a town in Karnataka, India. It is located on the banks of Kagina river i ...

, where he wrote under the patronage of emperor

Krishna III Krishna III whose Kannada name was Kannara (r. 939 – 967 C.E.) was the last great warrior and able monarch of the Rashtrakuta dynasty of Manyakheta. He was a shrewd administrator and skillful military campaigner. He waged many wars to bring b ...

. His ''Kavi-Rahasya'' eulogizes Krishna III. Later, he migrated to

Ujjain Ujjain (, Hindustani language, Hindustani pronunciation: Help:IPA/Hindi and Urdu, �d͡ːʒɛːn is a city in Ujjain district of the States and territories of India, Indian state of Madhya Pradesh. It is the fifth-largest city in Madhya Prad ...

in the

Paramara The Paramara dynasty (IAST: Paramāra) was an Indian dynasty that ruled Malwa and surrounding areas in west-central India between 9th and 14th centuries. They belonged to the Parmara clan of the Rajputs. The dynasty was established in either th ...

kingdom. There, he composed ''Mṛta-Sañjīvanī'' in honour of the Paramara king Munja.

Works

Halayudha composed the following works: * ''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

, which he called the staircase of mount Meru.

References

Bibliography

History of Rashtakutas * 10th-century Indian mathematicians Paramara kingdom Indian Sanskrit scholars {{asia-mathematician-stub

Biography

Works

See also

References

Bibliography