Śrīdhara, Śrīdharācāryya or Śrīdhara Acharya ( 870 CE – 930 CE) was an

Indian mathematician Indian mathematics emerged in the Indian subcontinent from 1200 BCE until the end of the 18th century. In the classical period of Indian mathematics (400 CE to 1200 CE), important contributions were made by scholars like Aryabhata, Brahmagupta ...

, Sanskrit pandit and

philosopher A philosopher is a person who practices or investigates philosophy. The term ''philosopher'' comes from the grc, φιλόσοφος, , translit=philosophos, meaning 'lover of wisdom'. The coining of the term has been attributed to the Greek th ...

. He was born in Bhuriśreṣṭi (Bhurisriṣṭi or Bhurśuṭ) village in South Rādha at present day Hugli in

West Bengal West Bengal (, Bengali: ''Poshchim Bongo'', , abbr. WB) is a state in the eastern portion of India. It is situated along the Bay of Bengal, along with a population of over 91 million inhabitants within an area of . West Bengal is the fou ...

, then undivided Bengal with its Capital at Gaur. His father's name was Baladevācārya or Baladeva Acharya and his mother's name was Acchoka Devi. His father was a Sanskrit pandit and philosopher.

Notable books

He is known for two main treatises: Trisatika (300) (sometimes called the Patiganitasara ) and the Pāṭīgaṇita ( bn, 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

The below are some of his notable works: * 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 Algebra () is one of the broad areas of mathematics. Roughly speaking, algebra is the study of mathematical symbols and the rules for manipulating these symbols in formulas; it is a unifying thread of almost all of mathematics. Elementary ...

. * He separated

from

arithmetic Arithmetic () is an elementary part of mathematics that consists of the study of the properties of the traditional operations on numbers— addition, subtraction, multiplication, division, exponentiation, and extraction of roots. In the 19th ...

. * He was the first person to give an algorithm for solving

quadratic equation In algebra, a quadratic equation () is any equation that can be rearranged in standard form as ax^2 + bx + c = 0\,, where represents an unknown value, and , , and represent known numbers, where . (If and then the equation is linear, not qu ...

s (although there is no indication that he considered two solutions). * Sridharacharya's formula is also known as the

Quadratic formula In elementary algebra, the quadratic formula is a formula that provides the solution(s) to a quadratic equation. There are other ways of solving a quadratic equation instead of using the quadratic formula, such as factoring (direct factoring, ...

or Sridharacharya's method. Sridharacharya Method is used to find solutions to quadratic equations of the general form ax² + bx + c = 0, a ≠ 0 and is given by

x=\frac

References

Bibliography

*
The Date of Sridharacharya
by S. Srikanta Sastri, The Jaina Antiquary (Jan, 1948) {{Authority control 870s births 930 deaths 9th-century Indian mathematicians 9th-century Indian philosophers 10th-century Indian mathematicians 10th-century Indian philosophers Indian logicians Scholars from West Bengal Bengali mathematicians Bengali philosophers