Classification of Algebra Mathematics

Algebra may be divided roughly into following categories:

Elementary algebra, în which properties of operations on real number system are recorded using symbols as “place holders” to denote constants & variables, & rules governing mathematical expressions & equations involving these symbols are studied, This îs usually taught at school under title algebra (or intermediate algebra & college algebra în subsequent years), University-level courses în group theory may also be called elementary algebra,

Abstract algebra, sometimes also called modern algebra, în which algebraic structures such as groups, rings & fields are axiomatically defined & investigated,

Linear algebra, în which specific properties of vector spaces are studied (including matrices);

Universal algebra, în which properties common to all algebraic structures are studied,

Algebraic number theory, în which properties of numbers are studied through algebraic systems, Number theory inspired much of original abstraction în algebra,

Algebraic geometry applies abstract algebra to problems of geometry,

Algebraic combinatory, în which abstract algebraic methods are used to study combinatorial questions, offers help with Algebra Mathematics assignments, homework and questions.


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