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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 ]
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.
Kuṭṭaka is an algorithm for finding integer solutions of linear Diophantine equations.A linear Diophantine equation is an equation of the form ax + by = c where x and y are unknown quantities and a, b, and c are known quantities with integer values.
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.
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 .
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 ...
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.
History of India, vol. 5: The Muhammadan Period as Described by Its Own Historians. Hunter, William Wilson. 1906. History of India, vol. 6: From the first European settlements to the founding of the English East India Company. —— 1906. History of India, vol. 7: The European struggle for Indian supremacy in the seventeenth century. Lyall, A ...