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Lecture
Calculus of Variations: Introduction
In course
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Description
This lecture introduces the topic of calculus of variations, focusing on mathematical models of natural systems and the variational principle. Examples like the Brachistochrone problem are used to justify the theory in an applied context. The lecture covers the concept of proper quantities, variational principles, and the minimization and maximization of quantities. It also discusses the Brechistochrone problem and the rigorous formulation of variational principles.
Official source
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