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

Derivative :: Derivative (n.) A derived function; a function obtained from a given function by a certain algebraic process.
Diophantine :: Diophantine (a.) Originated or taught by Diophantus, the Greek writer on algebra..
Algebra :: Algebra (n.) A treatise on this science.
Element :: Element (n.) One of the terms in an algebraic expression.
Algebraically :: Algebraically (adv.) By algebraic process.
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..
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..
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..
Quadratics :: Quadratics (n.) That branch of algebra which treats of quadratic equations.
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..
Notation :: Notation (n.) Any particular system of characters, symbols, or abbreviated expressions used in art or science, to express briefly technical facts, quantities, etc. Esp., the system of figures, letters, and signs used in arithmetic and algebra to express number, quantity, or operations..
Soluble :: Soluble (a.) Susceptible of being solved; as, a soluble algebraic problem; susceptible of being disentangled, unraveled, or explained; as, the mystery is perhaps soluble..
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..
Algebraist :: Algebraist (n.) One versed in algebra.
Zetetics :: Zetetics (a.) A branch of algebra which relates to the direct search for unknown quantities.
Analyst :: Analyst (n.) One who analyzes; formerly, one skilled in algebraical geometry; now commonly, one skilled in chemical analysis..
Cossical :: Cossical (a.) Of or relating to algebra; as, cossic numbers, or the cossic art..
Develop :: Develop (v. t.) To change the form of, as of an algebraic expression, by executing certain indicated operations without changing the value..
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.
Algebraic :: Algebraic (a.) Alt. of Algebraica.
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