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Equations Every Engineer Should Know

A curated list of essential equations — from F=ma to Fourier, Bernoulli, and the heat equation — with interactive explorations.

12 min read · 2026-06-10

Engineering is applied equations. These formulas appear across mechanical, electrical, civil, aerospace, and software engineering — worth knowing deeply, not just memorizing.

Mechanics & structures

Newton's second law (F = ma), Hooke's law, stress-strain relationships, and Bernoulli's equation for fluids. These govern everything from bridges to propellers.

Fields & signals

Maxwell's equations, Fourier transform, and the heat equation. Essential for electronics, communications, and thermal design.

Optimization & data

Gradient descent powers machine learning. Shannon entropy sets information limits. Bayes' theorem guides decision-making under uncertainty.

Explore them alive

On Equation Universe, each of these has story mode, interactive visualizations, and sound. Don't just memorize — understand why they work.