This page deals with the Indian Mathematician. For the Telugu surname, see Sridhara (surname).

Śrīdhara, Śrīdharācāryya or Śrīdhara Ācāryya (c. 870 CE – c. 930 CE) was an Indian mathematician, Sanskrit pandit and philosopher. He was born in Bhuriśreṣṭi (Bhurisriṣṭi or Bhurśuṭ) village in South Rādha at present day Hugli in West Bengal, then undivided Bengal with its Capital at Gaur. His father's name was Baladevācārya and his mother's name was Acchoka Bai. His father was a Sanskrit pandit and philosopher.

Contents

• 1 Notable Books
• 2 Notable Work
• 3 Bibliography
• 4 References

Notable Books

He is known for two main treatises: Trisatika (300) (sometimes called the Patiganitasara ) and the Pāṭīgaṇita (Bengali: পাটীগণিত). It was written in three hundred ślokas thus his major work Pāṭīgaṇitasāra was named Triśatika. The book discusses counting of numbers, natural number, zero, measures, multiplication, fraction, division, squares, cubes, rule of three, interest-calculation, joint business or partnership, and mensuration (the main part of geometry concerned with ascertaining sizes, lengths, areas, and volumes). Three other works have been attributed to him, namely the Bījaganita, Navasatī, and Bṛhatpati.

Notable Work

• He gave an exposition on the zero. He wrote, "If zero is added to any number, the sum is the same number; if zero is subtracted from any number, the number remains unchanged; if zero is multiplied by any number, the product is zero".
• In the case of dividing a fraction he has found out the method of multiplying the fraction by the reciprocal of the divisor.
• He wrote on the practical applications of algebra
• He separated algebra from arithmetic
• He was the first person to give an algorithm for solving quadratic equations (although there is no indication that he considered two solutions).
• Sridharacharya Formula is also known as the quadratic formula or Sridharacharya Method. Sridharacharya Method is used to find solutions to quadratic equations of the form ax2 + bx + c = 0, a ≠ 0 and is given by x = (-b ± √(b2 - 4ac)) / 2a.

Bibliography

• O'Connor, John J.; Robertson, Edmund F., "Sridhara", MacTutor History of Mathematics archive, University of St Andrews
• The Date of Sridharacharya by S. Srikanta Sastri, The Jaina Antiquary (Jan, 1948)

References

Treatises

• Āryabhaṭīya
• Bakhshali m*cript
• Bijaganita
• Brāhmasphuṭasiddhānta
• Ganita Kaumudi
• Karanapaddhati
• Līlāvatī
• Lokavibhaga
• Paulisa Siddhanta
• Paitamaha Siddhanta
• Romaka Siddhanta
• Sadratnamala
• Siddhānta Shiromani
• Śulba Sūtras
• Surya Siddhanta
• Tantrasamgraha
• Vasishtha Siddhanta
• Veṇvāroha
• Yuktibhāṣā
• Yavanajataka

Pioneering
innovations

• Brahmi numerals
• Hindu–Arabic numeral system
• Symbol for zero (0)

Centres

• Kerala school of astronomy and mathematics
• Jantar Mantar (Jaipur, New Delhi, Ujjain, Varanasi)

Historians of
mathematics

• Bapudeva Sastri (1821–1900)
• Shankar Balakrishna Dik* (1853–1898)
• Sudhakara Dvivedi (1855–1910)
• M. Rangacarya (1861–1916)
• P. C. Sengupta (1876–1962)
• B. B. Datta (1888–1958)
• A. A. Krishnaswamy Ayyangar (1892– 1953)
• A. N. Singh (1901–1954)
• C. T. Rajagopal (1903–1978)
• T. A. Saraswati Amma (1918–2000)
• S. N. Sen (1918–1992)
• K. S. Shukla (1918–2007)
• K. V. Sarma (1919–2005)

Translators

• Walter Eugene Clark
• David Pingree

Other regions

• Babylon
• China
• Greece
• Islamic mathematics
• Europe

Modern
ins*utions

• Indian Statistical Ins*ute
• Bhaskaracharya Pratishthana
• Chennai Mathematical Ins*ute
• Ins*ute of Mathematical Sciences
• Indian Ins*ute of Science
• Harish-Chandra Research Ins*ute
• Homi Bhabha Centre for Science Education
• Ramanujan Ins*ute for Advanced Study in Mathematics
• TIFR