Topic: Curvature
Brief Summary:
At a point of a curve, curvature is the measure of the difference of the curve to a straight line. In the case of a surface, curvature is the measure of the difference of a curved plane to a plane. Another way to put curvature is the rate of change of direction of the curve.
Essay Plan:
I plan on cover enough of curvature to a general sense of understanding of the subject. I will cover curvature in 2 space and if possible, attempt to cover them in 3 space. I will be implementing a good amount of images as demonstrations.
Three References:
https://www.britannica.com/science/curvature
https://www.khanacademy.org/math/multivariable-calculus/multivariable-derivatives/differentiating-vector-valued-functions/a/curvature
https://math24.net/curvature-radius.html