Solving linear and quadratic equations (Babylon, Egypt, Greece).
Boolean algebra forms the logic of all digital circuits. To help you dive deeper, Introductory Modern Algebra: A Historical Approach
Historically, algebra began as the "science of restoration and balancing." Solving linear and quadratic equations (Babylon
A commutative ring where every non-zero element has a multiplicative inverse. Example: Real numbers or Complex numbers Introductory Modern Algebra: A Historical Approach
Error-correcting codes in satellites use finite fields.