Lecture

Calculus of Variations and Euler's Elastica

In course

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Description

This lecture covers the solution of the Brachistochrone problem by Bernoulli, introducing the calculus of variations. It explores the equilibrium shape of a bent beam using variational methods and discusses Euler's Elastica, focusing on inextensible elastic curves under large rotations.

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Instructor

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Official source

https://mediaspace.epfl.ch/media/0_u7a28ce3

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Ontological neighbourhood

Physics

Mechanics: Classical mechanics

Mathematics

Analysis: Calculus

Theoretical computer science

Algorithms and data structures: Combinatorial optimization

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