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Advanced Algebra: Home

algebra is the study of mathematical symbols and the rules for manipulating these symbols


Algebra (from Arabic "al-jabr" meaning "reunion of broken parts" is one of the broad parts of mathematics, together with number theorygeometry and analysis. In its most general form, algebra is the study of mathematical symbols and the rules for manipulating these symbols; it is a unifying thread of almost all of mathematics. As such, it includes everything from elementary equation solving to the study of abstractions such as groupsrings, and fields. The more basic parts of algebra are called elementary algebra; the more abstract parts are called abstract algebra or modern algebra. Elementary algebra is generally considered to be essential for any study of mathematics, science, or engineering, as well as such applications as medicine and economics. Abstract algebra is a major area in advanced mathematics, studied primarily by professional mathematicians.