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  2. Bhāskara II - Wikipedia

    en.wikipedia.org/wiki/Bhāskara_II

    Quadratic equations with more than one unknown. Operations with products of several unknowns. Bhaskara derived a cyclic, chakravala method for solving indeterminate quadratic equations of the form ax 2 + bx + c = y. [25] Bhaskara's method for finding the solutions of the problem Nx 2 + 1 = y 2 (the so-called "Pell's equation") is of ...

  3. Brahmagupta - Wikipedia

    en.wikipedia.org/wiki/Brahmagupta

    In particular, he recommended using "the pulverizer" to solve equations with multiple unknowns. 18.51. Subtract the colors different from the first color. [The remainder] divided by the first [color's coefficient] is the measure of the first. [Terms] two by two [are] considered [when reduced to] similar divisors, [and so on] repeatedly.

  4. Regula falsi - Wikipedia

    en.wikipedia.org/wiki/Regula_falsi

    A bulrush grew 3 units on its first day. At the end of each day, the plant is observed to have grown by ⁠ 1 / 2 ⁠ of the previous day's growth. A club-rush grew 1 unit on its first day. At the end of each day, the plant has grown by 2 times as much as the previous day's growth.

  5. Babylonian mathematics - Wikipedia

    en.wikipedia.org/wiki/Babylonian_mathematics

    Babylonian mathematics (also known as Assyro-Babylonian mathematics) [1][2][3][4] is the mathematics developed or practiced by the people of Mesopotamia, as attested by sources mainly surviving from the Old Babylonian period (1830–1531 BC) to the Seleucid from the last three or four centuries BC. With respect to content, there is scarcely any ...

  6. Equation solving - Wikipedia

    en.wikipedia.org/wiki/Equation_solving

    Equation solving. The quadratic formula, the symbolic solution of the quadratic equation ax2 + bx + c = 0. An example of using Newton–Raphson method to solve numerically the equation f(x) = 0. In mathematics, to solve an equation is to find its solutions, which are the values (numbers, functions, sets, etc.) that fulfill the condition stated ...

  7. Hilbert's problems - Wikipedia

    en.wikipedia.org/wiki/Hilbert's_problems

    The following are the headers for Hilbert's 23 problems as they appeared in the 1902 translation in the Bulletin of the American Mathematical Society. [1] 1. Cantor's problem of the cardinal number of the continuum. 2. The compatibility of the arithmetical axioms. 3. The equality of the volumes of two tetrahedra of equal bases and equal altitudes.

  8. Ancient Egyptian mathematics - Wikipedia

    en.wikipedia.org/wiki/Ancient_Egyptian_mathematics

    For instance problem 19 asks one to calculate a quantity taken ⁠1 + 1 / 2 ⁠ times and added to 4 to make 10. [8] In other words, in modern mathematical notation we are asked to solve the linear equation: + = Solving these Aha problems involves a technique called method of false position. The technique is also called the method of false ...

  9. Indian mathematics - Wikipedia

    en.wikipedia.org/wiki/Indian_mathematics

    Indian mathematics emerged in the Indian subcontinent [1] from 1200 BCE [2] 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, Bhaskara II, Varāhamihira, and Madhava. The decimal number system in use today [3] was first ...