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  2. Algebraic equation - Wikipedia

    en.wikipedia.org/wiki/Algebraic_equation

    The algebraic equations are the basis of a number of areas of modern mathematics: Algebraic number theory is the study of (univariate) algebraic equations over the rationals (that is, with rational coefficients). Galois theory was introduced by Évariste Galois to specify criteria for deciding if an algebraic equation may be solved in terms of ...

  3. Algebra - Wikipedia

    en.wikipedia.org/wiki/Algebra

    In the mid-19th century, the scope of algebra broadened beyond a theory of equations to cover diverse types of algebraic operations and structures. Algebra is relevant to many branches of mathematics, such as geometry, topology, number theory, and calculus, and other fields of inquiry, like logic and the empirical sciences.

  4. Theory of equations - Wikipedia

    en.wikipedia.org/wiki/Theory_of_equations

    In algebra, the theory of equations is the study of algebraic equations (also called "polynomial equations"), which are equations defined by a polynomial. The main problem of the theory of equations was to know when an algebraic equation has an algebraic solution .

  5. Elementary algebra - Wikipedia

    en.wikipedia.org/wiki/Elementary_algebra

    Two-dimensional plot (red curve) of the algebraic equation =. [ 1 ] Elementary algebra , also known as high school algebra or college algebra , [ 2 ] encompasses the basic concepts of algebra . It is often contrasted with arithmetic : arithmetic deals with specified numbers , [ 3 ] whilst algebra introduces variables (quantities without fixed ...

  6. List of equations - Wikipedia

    en.wikipedia.org/wiki/List_of_equations

    Bernoulli's equation; Bogoliubov–Born–Green–Kirkwood–Yvon hierarchy of equations; Bessel's differential equation; Boltzmann equation; Borda–Carnot equation; Burgers' equation; Darcy–Weisbach equation; Dirac equation. Dirac equation in the algebra of physical space; Dirac–Kähler equation; Doppler equations; Drake equation (aka ...

  7. Equation - Wikipedia

    en.wikipedia.org/wiki/Equation

    An algebraic equation is univariate if it involves only one variable. On the other hand, a polynomial equation may involve several variables, in which case it is called multivariate (multiple variables, x, y, z, etc.). For example, + = is a univariate algebraic (polynomial) equation with integer coefficients and

  8. Outline of algebra - Wikipedia

    en.wikipedia.org/wiki/Outline_of_algebra

    An algebraic equation is an equation involving only algebraic expressions in the unknowns. These are further classified by degree. Linear equationalgebraic equation of degree one. Polynomial equationequation in which a polynomial is set equal to another polynomial.

  9. 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.

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