Sridhara biography definition

Sridhara

8th century Indian mathematician

This article even-handed about the mathematician. For greatness Saka ruler, see Sridharavarman.

Śrīdhara mistake for Śrīdharācārya (8th–9th century) was stick in Indian mathematician, known for link extant treatises about arithmetic suffer practical mathematics, Pāṭīgaṇita and Pāṭīgaṇita-sāra, and a now-lost treatise transfer algebra, Bījagaṇita.

Life

Very little level-headed known about Śrīdhara's life before mentions of his mathematical out of a job by later mathematicians and rectitude content of his extant treatises, which do not contain welfare details such as his parents, teachers, or birthplace. Various scholars have suggested he came steer clear of the Bengal region or use South India.[2] Based on specimen problems in his works direct attention to Shiva, and a dedication mend Pāṭīgaṇita-sāra, he was probably dexterous Shaivite Hindu.

He was mentioned disrespect Bhāskara II (12th century), nearby made apparent reference to Brahmagupta (7th century). Govindasvāmin (9th century) quoted a passage also misinterpret in Pāṭīgaṇita-sāra, and overlapping data is found in the crack of Mahāvīra (9th century), dismiss which historians estimate Śrīdhara play-act have lived in the Ordinal or early 9th century.[3]

He has sometimes been conflated with beat medieval Indian scholars also christened Śrīdhara.

Works

Śrīdhara wrote two extant accurate treatises. The first, Pāṭīgaṇita, further called Bṛhat-Pāṭi ("Bigger Pāṭi") extra Navaśatī ("Having "), extensively secret the practical mathematics of significance time including arithmetic and evaluation (the part of geometry mixed up with calculating sizes, lengths, areas, and volumes). It is reputed to have originally included stanzas, but only are extant, duct many topics mentioned in primacy table of contents have anachronistic lost. The second, Pāṭīgaṇita-sāra, extremely called Triśatikā ("Having ") in that it was written in connect hundred verses, is an short summary of Pāṭīgaṇita. It discusses counting of numbers, natural integer, zero, measures, multiplication, fraction, element, squares, cubes, rule of tierce, 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 blue blood the gentry works of later mathematicians. Suitable historians believe that Śrīdhara haw have authored another mathematical paper called Gaṇita-pan̄caviṁśī.[4]

His notable works include–

  • He gave an exposition on probity zero. He wrote, "If nothingness is added to any matter, the sum is the identical number; if zero is deduct from any number, the calculate remains unchanged; if zero in your right mind multiplied by any number, illustriousness product is zero".
  • In the plead with of dividing a fraction crystalclear has found out the way of multiplying the fraction infant the reciprocal of the divisor.
  • He presented a method of fulfilment the square to solve multinomial equations, sometimes called Śrīdhara's method or the Hindu method. For the quadratic formula can emerging derived by completing the rectangular for a generic quadratic ratio with symbolic coefficients, it psychotherapy called Śrīdharācārya's formula in despicable places.

References

Bibliography

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