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  2. Outline of algebra - Wikipedia

    en.wikipedia.org/wiki/Outline_of_algebra

    Algebra is one of the main branches of mathematics, covering the study of structure, relation and quantity. Algebra studies the effects of adding and multiplying numbers , variables , and polynomials , along with their factorization and determining their roots .

  3. Algebra - Wikipedia

    en.wikipedia.org/wiki/Algebra

    Algebra is the branch of mathematics that studies certain abstract systems, known as algebraic structures, and the manipulation of expressions within those systems. It is a generalization of arithmetic that introduces variables and algebraic operations other than the standard arithmetic operations, such as addition and multiplication.

  4. Gina Wilson - Wikipedia

    en.wikipedia.org/wiki/Gina_Wilson

    Gina Wilson was a finalist for the Australian Human Rights Commission Community Individual Award, 2013. The Commission describes the award as one of "the two most vigorously contested categories for the 2013 Australian Human Rights Awards" [ 36 ] [ 37 ] commenting that her "intersex advocacy work has been ground-breaking, helping to achieve ...

  5. Nonlinear algebra - Wikipedia

    en.wikipedia.org/wiki/Nonlinear_algebra

    Nonlinear algebra is the nonlinear analogue to linear algebra, generalizing notions of spaces and transformations coming from the linear setting. [1] Algebraic geometry is one of the main areas of mathematical research supporting nonlinear algebra, while major components coming from computational mathematics support the development of the area into maturity.

  6. Elementary algebra - Wikipedia

    en.wikipedia.org/wiki/Elementary_algebra

    Unlike abstract algebra, elementary algebra is not concerned with algebraic structures outside the realm of real and complex numbers. It is typically taught to secondary school students and at introductory college level in the United States, [4] and builds on their understanding of arithmetic. The use of variables to denote quantities allows ...

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  8. List of abstract algebra topics - Wikipedia

    en.wikipedia.org/wiki/List_of_abstract_algebra...

    Abstract algebra is the subject area of mathematics that studies algebraic structures, such as groups, rings, fields, modules, vector spaces, and algebras.The phrase abstract algebra was coined at the turn of the 20th century to distinguish this area from what was normally referred to as algebra, the study of the rules for manipulating formulae and algebraic expressions involving unknowns and ...

  9. Algebra of sets - Wikipedia

    en.wikipedia.org/wiki/Algebra_of_sets

    The algebra of sets is the set-theoretic analogue of the algebra of numbers. Just as arithmetic addition and multiplication are associative and commutative, so are set union and intersection; just as the arithmetic relation "less than or equal" is reflexive, antisymmetric and transitive, so is the set relation of "subset".

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