Acharya Pingala
Also recorded as Combinatorics, Binary Numeral System
Acharya Pingala
- Born
- Acharya Pingala was born on 1 January 150 BC.
- Died
- Acharya Pingala died, sources differ on the date (in 67 and not recorded).
- Nationality
- India
- Occupation
- mathematician · linguist · academic · writer
- Fields
- mathematics
- Movements
- Vedic period
- Education
- Takshashila University
- Languages
- Sanskrit
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wikidata · Q527384
In this article
Identity
Identity
Acharya Pingala is recorded with the occupation mathematician. Classed in the genre mathematics. Recorded as mathematician, linguist, academic and writer. Associated with Vedic period.
Life and career
Dated record
Life and career
The full dated record · 1 entries
150
Acharya Pingala born.
Notes from the source article
Cited by Wikipedia
Notes from the source article
These works are cited by the source article, in its own numbering. They are recorded as its citations, not as sources VALÉORINE has verified.
- 1.Singh, Parmanand. The So-called Fibonacci Numbers in Ancient and Medieval India. Historia Mathematica. Academic Press. 12. 3. 232. 1985. 10.1016/0315-0860(85)90021-7.
- 2.Plofker, Kim. Mathematics in India. Princeton University Press. 55–56. 2009. 978-0-691-12067-6.
- 3.Pingala – Timeline of Mathematics. Mathigon.
- 4.Vaman Shivaram Apte. Sanskrit Prosody and Important Literary and Geographical Names in the Ancient History of India. Motilal Banarsidass. 648–649. 1970. 978-81-208-0045-8.
- 5.Mylius, Klaus. Geschichte der altindischen Literatur. Harrassowitz Verlag. 68. 1983. 978-3-447-02324-5.
- 6.R. Hall, Mathematics of Poetry, has "c. 200 BC"
- 7.Mylius (1983:68) considers the Chandas-shāstra as "very late" within the Vedānga corpus.
- 8.Matilal, Bimal Krishna. The Word and the World: India's Contribution to the Study of Language. Oxford University Press. 12–15. 1990. 978-0-19-562515-8.
- 9.Shah, Jayant. A History of Piṅgala's Combinatorics. Northeastern University, Boston. 2008.
- 10.van Nooten, B. Binary Numbers in Indian Antiquity. Journal of Indian Philosophy. 21. 1. 31–50. 1993. 10.1007/BF01092744.
- 11.Hall, Rachel Wells. Math for Poets and Drummers. Math Horizons. Taylor & Francis. 15. 3. 10 12. February 2008. 10.1080/10724117.2008.11974752.
- 12.Singh, Parmanand. The So-called Fibonacci Numbers in Ancient and Medieval India. Historia Mathematica. 12. 3. 229–244. 1985. 10.1016/0315-0860(85)90021-7.
- 13., pp. 54–56: "In the Chandah-sutra of Pingala, dating perhaps the third or second century BC, [...] Pingala's use of a zero symbol [śūnya] as a marker seems to be the first known explicit reference to zero. ... In the Chandah-sutra of Pingala, dating perhaps the third or second century BC, there are five questions concerning the possible meters for any value "n". [...] The answer is (2) 7 = 128, as expected, but instead of seven doublings, the process (explained by the sutra) required only three doublings and two squarings – a handy time saver where "n" is large. Pingala's use of a zero symbol as a marker seems to be the first known explicit reference to zero."
- 14.Stakhov, Alexey. The mathematics of harmony: from Euclid to contemporary mathematics and computer science. World Scientific. 2009. 978-981-277-582-5.
- 15.B. van Nooten, "Binary Numbers in Indian Antiquity", Journal of Indian Studies, Volume 21, 1993, pp. 31–50
- 16.Susantha Goonatilake. Toward a Global Science. Indiana University Press. 126. 1998. 978-0-253-33388-9.
- 17.Singh, Parmanand. The So-called Fibonacci Numbers in Ancient and Medieval India. Historia Mathematica. 12. 3. 229–244. 1985. 10.1016/0315-0860(85)90021-7.
- 18.Bag, Amulya Kumar. Binomial theorem in ancient India. Indian Journal of History of Science. 1. 68–74. 1966.
- 19.Chhanda Sutra – Pingala.
- 20.Pingalacharya. Chand Shastra. 1938.
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