algebra
Sign in to saveAlgebra 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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Wikidata facts
- Part of
- mathematics
- Named after
- Al-Jabr
- Image
- Multiplying formal series.svg
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- P910
- Category:Algebra
- P2184
- history of algebra
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- Wikipedia:Vital articles/Level/4 (2022)
- P1889
- regnal number
- P1151
- Portal:Algebra
- P1424
Article
18 sectionsContents
- 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
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.
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.