A set with an operation that is associative, has an identity, and has inverses. Example: Integers under addition
Emerged from attempts to prove Fermat's Last Theorem. 🌾 Fields Introductory Modern Algebra: A Historical Approach
The most "number-like" structures where you can add, subtract, multiply, and divide. A set with an operation that is associative,
A commutative ring where every non-zero element has a multiplicative inverse. Example: Real numbers or Complex numbers has an identity
Renaissance mathematicians (Cardano, Ferrari) found radicals for cubic and quartic equations.