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This created a new algebra consisting of computing with symbolic expressions as if they were numbers. Another key event in the further development of algebra was the general algebraic solution of the cubic and quartic equations, developed in the mid-16th century.
Bhaskara Acharya writes the “Bijaganita” (“Algebra”), which is the first text that recognizes that a positive number has two square roots 1130: Al-Samawal gives a definition of algebra: “[it is concerned] with operating on unknowns using all the arithmetical tools, in the same way as the arithmetician operates on the known.” [16] c ...
Algebra is the branch of mathematics that studies certain abstract systems, ... is an algebraic expression created by multiplying the number 5 with the variable ...
Al-Khwarizmi's algebra is regarded as the foundation and cornerstone of the sciences. In a sense, al-Khwarizmi is more entitled to be called "the father of algebra" than Diophantus because al-Khwarizmi is the first to teach algebra in an elementary form and for its own sake, Diophantus is primarily concerned with the theory of numbers. [53]
This is a timeline of pure and applied mathematics history.It is divided here into three stages, corresponding to stages in the development of mathematical notation: a "rhetorical" stage in which calculations are described purely by words, a "syncopated" stage in which quantities and common algebraic operations are beginning to be represented by symbolic abbreviations, and finally a "symbolic ...
In 1572 Rafael Bombelli published his L'Algebra in which he showed how to deal with the imaginary quantities that could appear in Cardano's formula for solving cubic equations. Simon Stevin 's De Thiende ('the art of tenths'), first published in Dutch in 1585, contained the first systematic treatment of decimal notation in Europe, which ...
Omar Khayyam (c. 1038/48 in Iran – 1123/24) [12] wrote the Treatise on Demonstration of Problems of Algebra containing the systematic solution of cubic or third-order equations, going beyond the Algebra of al-Khwārizmī. [13] Khayyám obtained the solutions of these equations by finding the intersection points of two conic sections.
Diophantus' work created a foundation for work on algebra and in fact much of advanced mathematics is based on algebra. [22] How much he affected India is a matter of debate. Diophantus has been considered "the father of algebra" because of his contributions to number theory, mathematical notations and the earliest known use of syncopated ...