Algebra

Algebra is a branch of mathematics that deals with 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.

value that can change, usually with a context of an equation or operation

In mathematics, a polynomial is a mathematical expression consisting of indeterminates (also called variables) and coefficients, that involves only the operations of addition, subtraction, multiplication and exponentiation to nonnegative integer powers, and has a finite number of terms. An example of a polynomial of a single indeterminate x is x^2 - 4x + 7. An example with three indeterminates is x^3 + 2xyz^2 - yz + 1.

mathematical concept; value which cannot be changed or does not change during a process

thumb|The ratio of width to height of standard-definition television

In mathematics, a coefficient is a multiplicative factor involved in some term of a polynomial, a series, or any other type of expression. It may be a number without units, in which case it is known as a numerical factor. It may also be a constant with units of measurement, in which it is known as a constant multiplier. In general, coefficients may be any expression (including variables such as , and ). When the combination of variables and constants is not necessarily involved in a product, it may be called a parameter. For example, the polynomial 2x^2-x+3 has coefficients 2, −1, and 3, and

result of multiplying a number, or other expression, by itself

basic concepts of algebra of the real and complex numbers

In mathematics, a monomial is, roughly speaking, a polynomial which has only one term. Two definitions of a monomial may be encountered: A monomial, also called a power product or primitive monomial, is a product of powers of variables with nonnegative integer exponents, or, in other words, a product of variables, possibly with repetitions. For example,x^2yz^3=xxyzzz is a monomial. The constant 1 is a primitive monomial, being equal to the empty product and to x^0 any variable x. If only a single variable x is considered, this means that a monomial is either 1 or a power x^n of x, with n a po

performing order of mathematical operations

In mathematics, an operand is the object of a mathematical operation, i.e., it is the object or quantity that is operated on.

function which gives the number of integers relatively prime to and not greater than its input

element with an inverse with respect to a given mathematical operation; element that can 'undo' the effect of another given element

sequence or array in which each further term is defined as a function of the preceding terms

mapping from one vector space or module to another in mathematics

algebraic concept

Decomposition or partial fraction expansion of a mathematical function

mathematical concept

irreducible element in the ring of polynomials; a non-constant polynomial that is not the product of two non-constant polynomials

mathematical formula built with arithmetic operations and other previously defined functions

one of two prizes awarded by the American Mathematical Society

standard (often unique) way of presenting an object as a mathematical expression

irreducible polynomial of integer coefficients whose roots are nth roots of unity

radical expression that contains (nests) another radical expression

repeated digital sum

concept in mathematics

polynomial of the elements of a matrix

one case when solving a cubic equation

history of the study of mathematical symbols and the rules for manipulating these symbols

closed form expression of addition, subtraction, multiplication, division, powers and roots

a sequence of integers constructed as an arithmetic progression

research honor for women

1969 non-fiction book by G. Spencer-Brown

Wikipedia article covering multiple topics

root-finding algorithms for common roots of several multivariate polynomials