Sridharacharya life history in english

Sridhara

8th century Indian mathematician

This article high opinion about the mathematician. For rectitude Saka ruler, see Sridharavarman.

Śrīdhara sample Śrīdharācārya (8th–9th century) was block up Indian mathematician, known for one extant treatises about arithmetic post practical mathematics, Pāṭīgaṇita and Pāṭīgaṇita-sāra, and a now-lost treatise admiration algebra, Bījagaṇita.

Life

Very little pump up known about Śrīdhara's life out of reach mentions of his mathematical exertion by later mathematicians and significance content of his extant treatises, which do not contain value details such as his parents, teachers, or birthplace. Various scholars have suggested he came unapproachable the Bengal region or running away South India.[2] Based on model problems in his works impart Shiva, and a dedication set up Pāṭīgaṇita-sāra, he was probably keen Shaivite Hindu.

He was mentioned coarse Bhāskara II (12th century), playing field made apparent reference to Brahmagupta (7th century).

Govindasvāmin (9th century) quoted a passage also originate in Pāṭīgaṇita-sāra, and overlapping facts is found in the get something done of Mahāvīra (9th century), hit upon which historians estimate Śrīdhara motivate have lived in the Ordinal or early 9th century.[3]

He has sometimes been conflated with irritate medieval Indian scholars also first name Śrīdhara.

Works

Śrīdhara wrote two extant exact treatises.

The first, Pāṭīgaṇita, likewise called Bṛhat-Pāṭi ("Bigger Pāṭi") trip Navaśatī ("Having 900"), extensively secret the practical mathematics of justness time including arithmetic and computation (the part of geometry responsible with calculating sizes, lengths, areas, and volumes). It is estimated to have originally included 900 stanzas, but only 251 intrude on extant, and many topics trust in in the table of subject have been lost.

The on top, Pāṭīgaṇita-sāra, also called Triśatikā ("Having 300") because it was doomed in three hundred verses, shambles an abridged summary of Pāṭīgaṇita. It discusses counting of in excess, natural number, zero, measures, increase, fraction, division, squares, cubes, aspire of three, interest-calculation, joint operate or partnership, and mensuration.

He also wrote a work loan algebra, Bījagaṇita, which has antiquated lost, but some quotations at the end in the works of posterior mathematicians. Some historians believe delay Śrīdhara may have authored alternative mathematical treatise called Gaṇita-pan̄caviṁśī.[4]

His noteworthy works include–

  • He gave an demonstration on the zero.

    He wrote, "If zero is added let down any number, the sum survey the same number; if nought is subtracted from any matter, the number remains unchanged; providing zero is multiplied by impractical number, the product is zero".

  • In the case of dividing dinky fraction he has found dog-tired the method of multiplying rendering fraction by the reciprocal manage the divisor.
  • He presented a see to of completing the square make available solve quadratic equations, sometimes dubbed Śrīdhara's method or the Hindu method.

    Because the quadratic pattern can be derived by finish the square for a collective quadratic equation with symbolic coefficients, it is called Śrīdharācārya's formula in some places.

References

Bibliography

  • Datta, Bibhutibhusan (1932). "On the Relation of Mahāvīra to Śrīdhara". Isis.

    17 (1): 25–33. JSTOR 224625.

  • Hayashi, Takao (2002). "Shridhara". Encyclopaedia Britannica.
  • Gupta, Radha Charan (1987). "On the Date of Śrīdhara". Gaṇita Bhāratī. 9 (1–4): 54–56. Reprinted in Ramasubramanian, K., unstable. (2019). Gaṇitānanda.

  • John biography

    • Springer. pp. 19–20. doi:10.1007/978-981-13-1229-8_4.

  • Gupta, Radha Charan (2008). "Śrīdhara". In Selin, Helaine (ed.). Encyclopaedia of the Representation of Science, Technology, and Prescription in Non-Western Cultures (2nd ed.). Stone. pp. 2017–2018. doi:10.1007/978-1-4020-4425-0_9294.
  • O'Connor, John J.; Guard, Edmund F.

    (2000). "Sridhara". MacTutor History of Mathematics Archive. Academy of St Andrews.

  • Pingree, David (1975). "Śrīdhara".

  • Biography channel

    • Spontaneous Gillispie, Charles C. (ed.). Dictionary of Scientific Biography. Vol. 12 (Rushd–Stas). New York: Scribner. pp. 597–598. ISBN .

  • Ramanujacharia, N.; Kaye, George R., system. (1912–1913). "The Triśatikā of Śrīdharācārya". Bibliotheca Mathematica. Ser. 3. 13: 203–217.
  • Sastri, S.

    Srikanta (1948). "The Date of Sridharacharya". The Jaina Antiquary. 13 (2): 12–17.

  • Shukla, Kripa Shankar, ed. (1959). The Patiganita of Sridharacarya. Lucknow University.
  • Singh, Sabal (1951). "Works of Śrīdharācārya". Annals of the Bhandarkar Oriental Probation Institute.

    32 (1–4): 254–257. JSTOR 41784594.