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He was "the first who introduced the theory of algebraic calculus". [12] c. 1000 – Abu Mansur al-Baghdadi studied a slight variant of Thābit ibn Qurra's theorem on amicable numbers, and he also made improvements on the decimal system. 1020 – Abu al-Wafa' al-Buzjani gave the formula: sin (α + β) = sin α cos β + sin β cos α.
The first known equation, equivalent to 14x + 15 = 71 in modern notation, from The Whetstone of Witte. (The solution is x = 4) Recorde's introduction of the equals sign in The Whetstone of Witte, "to avoid tedious repetition".
Chinese mathematics made early contributions, including a place value system and the first use of negative numbers. [ 6 ] [ 7 ] The Hindu–Arabic numeral system and the rules for the use of its operations, in use throughout the world today evolved over the course of the first millennium AD in India and were transmitted to the Western world via ...
Algebraic equations are treated in the Chinese mathematics book Jiuzhang suanshu (The Nine Chapters on the Mathematical Art), which contains solutions of linear equations solved using the rule of double false position, geometric solutions of quadratic equations, and the solutions of matrices equivalent to the modern method, to solve systems of ...
[8]: 14 Because al-Khwarizmi was the first person to treat algebra as an independent discipline and introduced the methods of "reduction" and "balancing" (the transposition of subtracted terms to the other side of an equation, that is, the cancellation of like terms on opposite sides of the equation), [9] he has been described as the father [10 ...
Chinese mathematics made early contributions, including a place value system and the first use of negative numbers. [ 6 ] [ 7 ] The Hindu–Arabic numeral system and the rules for the use of its operations, in use throughout the world today evolved over the course of the first millennium AD in India and were transmitted to the Western world via ...
The first formulation of a quantum theory describing radiation and matter interaction is due to Paul Adrien Maurice Dirac, who, during 1920, was first able to compute the coefficient of spontaneous emission of an atom. [99] In 1928, the relativistic Dirac equation was formulated by Dirac to explain the behavior of the relativistically moving ...
As a mathematician and physicist, he made many original fundamental contributions to pure and applied mathematics, mathematical physics, and celestial mechanics. [5] In his research on the three-body problem, Poincaré became the first person to discover a chaotic deterministic system which laid the foundations of modern chaos theory.