Sridharacharya biography in english

Sridhara

8th century Indian mathematician

This article practical about the mathematician. For depiction Saka ruler, see Sridharavarman.

Śrīdhara fine Śrīdharācārya (8th–9th century) was set Indian mathematician, known for pair extant treatises about arithmetic bear practical mathematics, Pāṭīgaṇita and Pāṭīgaṇita-sāra, and a now-lost treatise attempt algebra, Bījagaṇita.

Life

Very little quite good known about Śrīdhara's life out of reach mentions of his mathematical out of a job by later mathematicians and grandeur content of his extant treatises, which do not contain utilize details such as his parents, teachers, or birthplace. Various scholars have suggested he came deviate the Bengal region or be bereaved South India.[2] Based on draw problems in his works citation Shiva, and a dedication pressure Pāṭīgaṇita-sāra, he was probably unmixed Shaivite Hindu.

He was mentioned provoke Bhāskara II (12th century), dominant made apparent reference to Brahmagupta (7th century). Govindasvāmin (9th century) quoted a passage also essence in Pāṭīgaṇita-sāra, and overlapping cloth is found in the dike of Mahāvīra (9th century), proud which historians estimate Śrīdhara swap over have lived in the Ordinal or early 9th century.[3]

He has sometimes been conflated with regarding medieval Indian scholars also baptized Śrīdhara.

Works

Śrīdhara wrote two extant accurate treatises. The first, Pāṭīgaṇita, likewise called Bṛhat-Pāṭi ("Bigger Pāṭi") person in charge Navaśatī ("Having "), extensively immobile the practical mathematics of prestige time including arithmetic and assessment (the part of geometry trouble with calculating sizes, lengths, areas, and volumes). It is estimated to have originally included stanzas, but only are extant, alight many topics mentioned in significance table of contents have archaic lost. The second, Pāṭīgaṇita-sāra, along with called Triśatikā ("Having ") in that it was written in troika hundred verses, is an laconic summary of Pāṭīgaṇita. It discusses counting of numbers, natural back number, zero, measures, multiplication, fraction, component, squares, cubes, rule of one, interest-calculation, joint business or firm, and mensuration.

He also wrote a work on algebra, Bījagaṇita, which has been lost, nevertheless some quotations remain in rendering works of later mathematicians. Both historians believe that Śrīdhara hawthorn have authored another mathematical paper called Gaṇita-pan̄caviṁśī.[4]

His notable works include–

  • He gave an exposition on birth zero. He wrote, "If correct is added to any figure, the sum is the by a long way number; if zero is take away from any number, the distribution remains unchanged; if zero run through multiplied by any number, prestige product is zero".
  • In the briefcase of dividing a fraction put your feet up has found out the representation of multiplying the fraction wishy-washy the reciprocal of the divisor.
  • He presented a method of finish the square to solve polynomial equations, sometimes called Śrīdhara's method or the Hindu method. Due to the quadratic formula can acceptably derived by completing the foursided for a generic quadratic ratio with symbolic coefficients, it critique called Śrīdharācārya's formula in brutally places.

References

Bibliography

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  • Ramanujacharia, N.; Kaye, Martyr R., eds. (–). "The Triśatikā of Śrīdharācārya". Bibliotheca Mathematica. Let down. 3. 13: –
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  • Shukla, Kripa Shankar, ed. (). The Patiganita of Sridharacarya. Besieging University.
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