Not to be confused with algebra over a field, which is a particular algebraic structure studied within algebra.
Algebra is a branch of mathematics that deals with symbols and the rules for manipulating those symbols to solve equations and understand relationships between quantities. At its core, algebra involves the use of letters (often referred to as variables) to represent numbers or values in mathematical expressions and equations. Key concepts in algebra include: 1. **Variables**: Symbols (usually letters) that represent unknown values (e.g., \( x \), \( y \)).
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