algebra

Also known as Al-Gebra, Aljebra, Algebra (mathematics), Cossic art, Rule of Coss

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.

AI overview

Algebra is a branch of mathematics that uses variables and special operations to solve problems in a more general way than basic arithmetic allows. It matters because it provides tools to work with unknown quantities and abstract patterns, making it possible to solve complex problems across science, engineering, and everyday applications.

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Commons category: Algebra
Classification of Instructional Programs code: 27.0102
Stack Exchange tag: matheducators.stackexchange.com/tags/algebra
P8168: Wendi Knight

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~43 min read

Article

18 sections

Contents

Definition and etymology
Major branches
Elementary algebra
Polynomials
Linear algebra
Abstract algebra
Group theory
Ring theory and field theory
Theories of interrelations among structures
History
Applications
Education
See also
References
Notes
Citations
Sources
External links

Elementary algebra is the main form of algebra taught in schools. It examines mathematical statements using variables for unspecified values and seeks to determine for which values the statements are true. To do so, it uses different methods of transforming equations to isolate variables. Linear algebra is a closely related field that investigates linear equations and combinations of them called systems of linear equations. It provides methods to find the values that solve all equations in the system at the same time, and to study the set of these solutions.