Frenet-Serret Formulas: Curvature and Torsion

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.