## Learn The Math You Need To Understand Physics

## Recent Articles

Calculus of Variations For Dummies: An Intuitive Introduction

Most people have heard of basic calculus and know about its applications to, for example, geometry or physics. However, there is another area of mathematics called calculus of variations that is...

Fewer than 10 years after Einstein's derivation of his famous field equations, there were already several exact solutions known, including the Friedmann–Lemaître–Robertson–Walker (FLRW)...

Lagrangian vs Hamiltonian Mechanics: The Key Differences & Advantages

Classical mechanics describes everything around us from cars and planes even to the motion of planets. There are multiple different formulations of classical mechanics, but the two most fundamental...

Are Maxwell’s Equations Relativistic? (Simple Explanation & Proof)

Electromagnetism is one of the cornerstones of modern physics, taking its place next to special and general relativity. It is only natural, then, to ask how compatible these two theories are. Are...

When we warn people not to touch an object that's really hot, we might say something like "be careful! It's red hot!". We naturally associate color with everyday descriptions of hot things. There's...

Why Is Momentum Conserved But Kinetic Energy Is Not? (with examples!)

Intuitively, momentum and kinetic energy are both about speed and how much mass something has - if you increase either the speed or mass of an object, it gains more kinetic energy and momentum. In...