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Derivation of Euler-Lagrange Equations | Classical Mechanics

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Physics

The Euler-Lagrange equations describe how a physical system will evolve over time if you know about the Lagrange function. We assume that out of all the different paths a particle can take, it will be the one, where small deviations from the path won’t change the action too much. This is usually referred to as: „the action is stationary“.

If you want to read more about the Lagrangian formulation of #ClassicalMechanics, we can recommend the book „Mechanics“ by Landau and Lifshitz:
https://amzn.to/2NjI8gQ
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