Algebra îs branch of mathematics concerning study of rules of operations & relations, & constructions & concepts arising from them, including terms, polynomials, equations & algebraic structures, Together with geometry, analysis, topology, combinatorics, & number theory, algebra îs one of main branches of pure mathematics,
Elementary algebra, often part of curriculum în secondary education, introduces concept of variables representing numbers, Statements based on these variables are manipulated using rules of operations that apply to numbers, such as addition, This can be done for variety of reasons, including equation solving, Algebra îs much broader than elementary algebra & studies what happens when different rules of operations are used & when operations are devised for things other than numbers, Addition & multiplication can be generalized & their precise definitions lead to structures such as groups, rings & fields, studied în area of mathematics called abstract algebra,
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