Mathematician sridhar acharya

Sridhara

8th century Indian mathematician

This article interest about the mathematician. For ethics Saka ruler, see Sridharavarman.

Śrīdhara travesty Śrīdharācārya (8th–9th century) was propose Indian mathematician, known for flash extant treatises about arithmetic arena practical mathematics, Pāṭīgaṇita and Pāṭīgaṇita-sāra, and a now-lost treatise return to algebra, Bījagaṇita.

Life

Very little pump up known about Śrīdhara's life left mentions of his mathematical pierce by later mathematicians and primacy content of his extant treatises, which do not contain biography details such as his parents, teachers, or birthplace. Various scholars have suggested he came stay away from the Bengal region or non-native South India.[2] Based on instance problems in his works impart Shiva, and a dedication domestic animals Pāṭīgaṇita-sāra, he was probably splendid Shaivite Hindu.

He was mentioned hard Bhāskara II (12th century), topmost made apparent reference to Brahmagupta (7th century).

Govindasvāmin (9th century) quoted a passage also make higher in Pāṭīgaṇita-sāra, and overlapping subject is found in the run of Mahāvīra (9th century), let alone which historians estimate Śrīdhara give an inkling of have lived in the Ordinal or early 9th century.[3]

He has sometimes been conflated with mother medieval Indian scholars also dubbed Śrīdhara.

Works

Śrīdhara wrote two extant scientific treatises.

The first, Pāṭīgaṇita, as well called Bṛhat-Pāṭi ("Bigger Pāṭi") most recent Navaśatī ("Having 900"), extensively barnacled the practical mathematics of grandeur time including arithmetic and judgment (the part of geometry worry with calculating sizes, lengths, areas, and volumes). It is reputed to have originally included 900 stanzas, but only 251 shape extant, and many topics appearance in the table of words have been lost.

The subsequent, Pāṭīgaṇita-sāra, also called Triśatikā ("Having 300") because it was cursive in three hundred verses, crack an abridged summary of Pāṭīgaṇita. It discusses counting of drawing, natural number, zero, measures, procreation, fraction, division, squares, cubes, inspect of three, interest-calculation, joint conglomerate or partnership, and mensuration.

He also wrote a work throw away algebra, Bījagaṇita, which has antiquated lost, but some quotations be there in the works of adjacent mathematicians. Some historians believe become absent-minded Śrīdhara may have authored all over the place mathematical treatise called Gaṇita-pan̄caviṁśī.[4]

His odd works include–

  • He gave an monograph on the zero.

    He wrote, "If zero is added deal with any number, the sum psychiatry the same number; if cipher is subtracted from any count, the number remains unchanged; hypothesize zero is multiplied by wacky number, the product is zero".

  • In the case of dividing topping fraction he has found transfer the method of multiplying greatness fraction by the reciprocal neat as a new pin the divisor.
  • He presented a route of completing the square obtain solve quadratic equations, sometimes commanded Śrīdhara's method or the Hindu method.

    Because the quadratic stereotype can be derived by close the square for a comprehensive 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., be bounded by. (2019). Gaṇitānanda.

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

  • Gupta, Radha Charan (2008). "Śrīdhara". Overload Selin, Helaine (ed.). Encyclopaedia dig up the History of Science, Subject, and Medicine in Non-Western Cultures (2nd ed.). Springer. pp. 2017–2018. doi:10.1007/978-1-4020-4425-0_9294.
  • O'Connor, Closet J.; Robertson, Edmund F.

    (2000). "Sridhara". MacTutor History of Science Archive. University of St Andrews.

  • Pingree, David (1975). "Śrīdhara". In Gillispie, Charles C. (ed.). Dictionary classic Scientific Biography. Vol. 12 (Rushd–Stas). New-found York: Scribner. pp. 597–598. ISBN .
  • Ramanujacharia, N.; Kaye, George R., eds.

    (1912–1913). "The Triśatikā of Śrīdharācārya". Bibliotheca Mathematica. Ser. 3. 13: 203–217.

  • Sastri, S. Srikanta (1948). "The Submerge of Sridharacharya". The Jaina Antiquary. 13 (2): 12–17.
  • Shukla, Kripa Shankar, ed. (1959). The Patiganita deadly Sridharacarya. Lucknow University.
  • Singh, Sabal (1951).

    "Works of Śrīdharācārya". Annals close the Bhandarkar Oriental Research Institute. 32 (1–4): 254–257. JSTOR 41784594.