Curvature: Intuition and Derivation | Differential Geometry
In my 5th video on #DifferentialGeometry, I define the #Curvature for both a unit speed curve reparametrized with respect to arc length and a regular curve parameterized by t.
I describe the intuition behind the curvature as the extent to which a curve deviates from a straight line (zero curvature). I then derive the expression for curvature for both a unit speed curve and a regular curve, using the #UnitNormal.
Questions/feedback? Let me know in the comments!
Pre-reqs: the previous videos in my playlist • Differential Geometry
Lecture Notes: https://drive.google.com/open?id=1_40...
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