Lecture

Frenet-Serret Formulas: Curvature and Torsion

In course

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Description

This lecture covers the Frenet-Serret formulas in the context of curvature and torsion, explaining the concepts of the Freret frame, Serret frame, and the Frenet coordinate system. It delves into the definitions and properties of curvature and torsion, illustrating how they are calculated and their geometric interpretations. The lecture also discusses the regularity conditions for curves in three-dimensional space, providing insights into the relationships between curvature, torsion, and the Frenet frame.

Instructor

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Official source

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

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Ontological neighbourhood

Mathematics

Geometry: Differential geometry, Euclidean geometry

Physics

Mechanics: Classical mechanics

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