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About Our Definitions: All forms of a word (noun, verb, etc.)
are now displayed on one page. Definition of ALGEBRA : a
generalization of arithmetic in which letters representing
numbers are combined according to the rules of arithmetic : any
of various systems or branches of mathematics or logic concerned
with the properties and relationships of abstract entities (as
complex numbers, matrices, sets, vectors, groups, rings, or
fields) manipulated in symbolic form under operations often
analogous to those of arithmetic — compare boolean algebra
Generalized version of arithmetic that uses variables to stand
for unspecified numbers. Its purpose is to solve algebraic
equations or systems of equations. Examples of such solutions
are the quadratic formula (for solving a quadratic equation) and
Gaussian elimination (for solving a system of equations in
matrix form). In higher mathematics, an algebra is a structure
consisting of a class of objects and a s