All my notes on "curvature" (curve, surface etc.)

A few notes about curvature have piled up, so I'm listing them here in a somewhat logical order for learning about the topic:

- Definition of the curvature for a parametric curve s(t) -> p(x,y,z)
- How to derive the formula of the curvature for a parametric curve
- Surface Curvature general definitions and how to compute them for a triangle mesh
- Curvature k of a 1D function graph y = f(x)
- Mean curvature of a parametric surface s(u, v)
- Gaussian curvature of a parametric surface s(u, v)
- Mean curvature of a 2D function graph z = f(x, y)
- Gaussian curvature of a 2D function graph z = f(x, y)
- Curvature of a Distance field / Implicit surface

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Q: What's the difference between USL and the Titanic?
A: The Titanic had a band.