Definition of algebra

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Algebra (n.) That branch of mathematics which treats of the relations and properties of quantity by means of letters and other symbols. It is applicable to those relations that are true of every kind of magnitude.

Lern More About Algebra

Quantic :: Quantic (n.) A homogeneous algebraic function of two or more variables, in general containing only positive integral powers of the variables, and called quadric, cubic, quartic, etc., according as it is of the second, third, fourth, fifth, or a higher degree. These are further called binary, ternary, quaternary, etc., according as they contain two, three, four, or more variables; thus, the quantic / is a binary cubic..
Diophantine :: Diophantine (a.) Originated or taught by Diophantus, the Greek writer on algebra..
Transform :: Transform (v. t.) To change, as an algebraic expression or geometrical figure, into another from without altering its value..
Cossical :: Cossical (a.) Of or relating to algebra; as, cossic numbers, or the cossic art..
Quaternion :: Quaternion (n.) The quotient of two vectors, or of two directed right lines in space, considered as depending on four geometrical elements, and as expressible by an algebraic symbol of quadrinomial form..
Quadrable :: Quadrable (a.) That may be sqyared, or reduced to an equivalent square; -- said of a surface when the area limited by a curve can be exactly found, and expressed in a finite number of algebraic terms..
Application :: Application (n.) Hence, in specific uses: (a) That part of a sermon or discourse in which the principles before laid down and illustrated are applied to practical uses; the moral of a fable. (b) The use of the principles of one science for the purpose of enlarging or perfecting another; as, the application of algebra to geometry..
Problem :: Problem (n.) Anything which is required to be done; as, in geometry, to bisect a line, to draw a perpendicular; or, in algebra, to find an unknown quantity..
Algebra :: Algebra (n.) That branch of mathematics which treats of the relations and properties of quantity by means of letters and other symbols. It is applicable to those relations that are true of every kind of magnitude.
Quadratics :: Quadratics (n.) That branch of algebra which treats of quadratic equations.
Algebra :: Algebra (n.) A treatise on this science.
Analyst :: Analyst (n.) One who analyzes; formerly, one skilled in algebraical geometry; now commonly, one skilled in chemical analysis..
Unicursal :: Unicursal (a.) That can be passed over in a single course; -- said of a curve when the coordinates of the point on the curve can be expressed as rational algebraic functions of a single parameter /.
Algebraist :: Algebraist (n.) One versed in algebra.
Differentiate :: Differentiate (v. t.) To obtain the differential, or differential coefficient, of; as, to differentiate an algebraic expression, or an equation..
Equation :: Equation (n.) An expression of the condition of equality between two algebraic quantities or sets of quantities, the sign = being placed between them; as, a binomial equation; a quadratic equation; an algebraic equation; a transcendental equation; an exponential equation; a logarithmic equation; a differential equation, etc..
Algebraical :: Algebraical (a.) Of or pertaining to algebra; containing an operation of algebra, or deduced from such operation; as, algebraic characters; algebraical writings..
Algebraize :: Algebraize (v. t.) To perform by algebra; to reduce to algebraic form.
Algebraically :: Algebraically (adv.) By algebraic process.
Member :: Member (n.) Either of the two parts of an algebraic equation, connected by the sign of equality..
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