Abstract algebra is the name given, mostly in education, to the study of algebraic structures such as groups, rings, and fields. Įlementary algebra deals with the manipulation of variables (commonly represented by Roman letters) as if they were numbers and is therefore essential in all applications of mathematics. The quadratic formula expresses the solution of the equation ax 2 + bx + c = 0, where a is not zero, in terms of its coefficients a, b and c.Īlgebra (from Arabic الجبر ( al-jabr) 'reunion of broken parts, bonesetting' ) is the study of variables and the rules for manipulating these variables in formulas it is a unifying thread of almost all of mathematics.
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