Calculus of variations, also known as variational calculus, is a fascinating branch of mathematics that deals with finding extrema (minimum or maximum) of quantities that are defined not by single numbers but by functions.

This video is an introduction to the calculus of variations. We go over what variational calculus is trying to solve, and derive the Euler-Lagrange equation, the key partial differential equation to all this.

0:00 Intro to Variational Calculus
3:38 Derivation of Euler-Lagrange equation
19:20 Application of Euler-Lagrange equation

Source code for animations! 


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Calculus of Variations: Calculus of Variations ft. Flammable Maths
1.05 GEEK