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  2. Algebra - Wikipedia

    en.wikipedia.org/wiki/Algebra

    Algebra. Elementary algebra studies which values solve equations formed using arithmetical operations. Abstract algebra studies algebraic structures, such as the ring of integers given by the set of integers together with operations of addition ( ) and multiplication ( ). Algebra is the branch of mathematics that studies certain abstract ...

  3. Glossary of mathematical symbols - Wikipedia

    en.wikipedia.org/wiki/Glossary_of_mathematical...

    Glossary of mathematical symbols. A mathematical symbol is a figure or a combination of figures that is used to represent a mathematical object, an action on mathematical objects, a relation between mathematical objects, or for structuring the other symbols that occur in a formula. As formulas are entirely constituted with symbols of various ...

  4. Algebraic expression - Wikipedia

    en.wikipedia.org/wiki/Algebraic_expression

    An algebraic equation is an equation involving polynomials, for which algebraic expressions may be solutions. If you restrict your set of constants to be numbers, any algebraic expression can be called an arithmetic expression. However, algebraic expressions can be used on more abstract objects such as in Abstract algebra.

  5. Glossary of mathematical jargon - Wikipedia

    en.wikipedia.org/wiki/Glossary_of_mathematical...

    Note that many of the terms are completely rigorous in context. almost all A shorthand term for "all except for a set of measure zero", when there is a measure to speak of. For example, "almost all real numbers are transcendental" because the algebraic real numbers form a countable subset of the real numbers with measure zero.

  6. Algebraic operation - Wikipedia

    en.wikipedia.org/wiki/Algebraic_operation

    Algebraic operations in the solution to the quadratic equation. The radical sign √, denoting a square root, is equivalent to exponentiation to the power of ⁠ 1 2 ⁠. The ± sign means the equation can be written with either a + or a – sign. In mathematics, a basic algebraic operation is any one of the common operations of elementary ...

  7. Elementary algebra - Wikipedia

    en.wikipedia.org/wiki/Elementary_algebra

    Elementary algebra, also known as college algebra, [1] encompasses the basic concepts of algebra. It is often contrasted with arithmetic: arithmetic deals with specified numbers, [2] whilst algebra introduces variables (quantities without fixed values).

  8. 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. In addition to working directly with numbers, algebra also covers symbols, variables ...

  9. Linear algebra - Wikipedia

    en.wikipedia.org/wiki/Linear_algebra

    The blue line is the common solution to two of these equations. Linear algebra is the branch of mathematics concerning linear equations such as: linear maps such as: and their representations in vector spaces and through matrices. [1][2][3] Linear algebra is central to almost all areas of mathematics. For instance, linear algebra is fundamental ...

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