Algebra is a branch of mathematics that uses letters or other symbols to represent unknown quantities, called variables. These variables and number values are combined to form equations.
The rules of these equations follow the exact same rules as arithmetic, such as the commutative and associative laws for addition and multiplication.
Functions are a special type of equation, where one variable can be uniquely defined in terms of the other.
Another part of this topic is graphing of equations and functions using the Cartesian coordinate graph or polar coordinates.
Also, covered in this topic is set theory or what constitutes a grouping of numbers.
Please submit abstract or modern algebra websites to the main category and linear and high school algebra webpages to their appropriate subcategories.
Basic algebra is algebra in which the letter symbols stand for real numbers. The scope of the field largely corresponds to the algebra usually taught in secondary schools or in early college as a precursor to the calculus.
Site promoting or reviewing conferences held in any field of algebra, or the teaching of algebra.
The Algebra Education category should include teaching resources for educators and parents to enable them to assist in teaching students the field of algebra. This covers basic algebra and advanced algebra course.
Include in this category course materials, lesson plans and activities that are specific to the field of algebra, regardless of the education level.
Algebra tutorials that are geared towards students should be placed in Science/Math/High_School and not in the Algebra Education category.
The algebraic theory of fields: including Galois theory and the classicial problems of solubility of polynomials.
Sometimes known as Clifford Algebra, a powerful mathematical language for expressing physical ideas, unifying diverse mathematical formalisms and aids physical intuition.
In mathematics, a group is an algebraic structure consisting of a set together with an operation that combines any two of its elements to form a third element. Groups recur throughout mathematics, and the methods of group theory have strongly influenced many parts of algebra. Linear algebraic groups and Lie groups are two branches of group theory that have experienced tremendous advances and have become subject areas in their own right.
This category includes webpages that discuss the early development of basic algebra concepts, such as solving for an unknown quantity or graphing a function.
Include sites, which offer a historical look at the development of algebraic concepts that use letters to represent an unknown quantity, formula rules or proofs.
Abstract theory of vector spaces and linear maps: the theoretical counterparts of vectors and matrices.
Books, eprints, journals, magazines, newsletters, preprints and other publications in Algebra.
Research Groups in Algebra
The algebraic theory of rings.