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Indian mathematics emerged and developed in the Indian subcontinent [1] from about 1200 BCE [2] until roughly the end of the 18th century CE (approximately 1800 CE). In the classical period of Indian mathematics (400 CE to 1200 CE), important contributions were made by scholars like Aryabhata, Brahmagupta, Bhaskara II, Varāhamihira, and Madhava.
Unit fractions were known in Indian mathematics in the Vedic period: [3] the Śulba Sūtras give an approximation of √ 2 equivalent to + +. Systematic rules for expressing a fraction as the sum of unit fractions had previously been given in the Gaṇita-sāra-saṅgraha of Mahāvīra ( c. 850 ). [ 3 ]
The first general method for finding the solutions of the problem x 2 − ny 2 = 1 (so-called "Pell's equation") was given by Bhaskara II. [ 23 ] Solutions of Diophantine equations of the second order, such as 61 x 2 + 1 = y 2 .
Līlāvatī is a treatise by Indian mathematician Bhāskara II on mathematics, written in 1150 AD. It is the first volume of his main work, the Siddhānta Shiromani, [1] alongside the Bijaganita, the Grahaganita and the Golādhyāya. [2] A problem from the Lilavati by Bhaskaracharya. Written in the 12th century.
Narayana's other major works contain a variety of mathematical developments, including a rule to calculate approximate values of square roots, investigations into the second order indeterminate equation nq 2 + 1 = p 2 (Pell's equation), solutions of indeterminate higher-order equations, mathematical operations with zero, several geometrical ...
The first volume titled History of Hindu Mathematics. A Source Book (Part 1: Numerical notation and arithmetic) was published in 1935 and the second volume titled History of Hindu Mathematics. A Source Book (Part 2: Algebra) was published in 1938. The planned third volume was never published.
Mathematics in India does not require that its readers have any background in mathematics or the history of mathematics. [7] It makes scholarship in this area accessible to a general audience, [18] for instance by replacing many Sanskrit technical terms by English phrases, [12] although it is "more of a research monograph than a popular book". [16]
Acharya Pingala [2] (Sanskrit: पिङ्गल, romanized: Piṅgala; c. 3rd–2nd century BCE) [1] was an ancient Indian poet and mathematician, [3] and the ...