To learn for free on Brilliant, go to . You’ll also get 20% off an annual premium subscription. Despite Newton’s genius, there was still more work to be done in developing Classical Mechanics. Just 100 years after him, Joseph-Louis Lagrange would crown Newton’s magnificent achievements by organizing them into essentially a purely mathematical theory: Lagrangian Mechanics. The key equation behind this alternative theory is a quantity called the Classical Lagrangian (L = K - U). Here you will intuitively learn where this equation comes from, how it’s meant to be used, and along the way gain a deep appreciation for the power of Lagrange’s approach to Physics. _____ Join my (new) Patreon community: Support the channel with a one-time donation: _____ My video on Hamiltonian Mechanics: _____ Sources: Very nice video explaining the Lagrangian in Energy Space: Classical Mechanics by John R. Taylor _____ Music: Epidemic Sound Animations created using Manim: Illustrations and Thumbnails: Christine Kosakowski This video was sponsored by Brilliant