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Length: 70 Minutes Presenter: Dr. Robert Lopez Product: Maple
The directional derivative of a vector field appears in modern treatments of the curvature of a surface, and in several vector identities met in vector calculus. What is this operator, and how can it be implemented in Maple? The directional derivative of a scalar field is a staple of the multivar...
Length: 58 Minutes Presenter: Dr. Robert Lopez Product: Maple
A Maple Exploration of Surface Curvatures presented by Dr. Robert Lopez at the Maple Conference 2019.
Length: 51 Minutes Presenter: Dr. Robert Lopez Product: Maple
A study of the curvature of a surface in three dimensions requires looking at the normal curvature, principal curvatures, mean curvature, Gauss curvature, first and second fundamental forms, shape operators and the Weingarten map. That's a lot to examine by hand, especially if you want to implement ...
In the final webinar of this series, we’ll explain the covariant derivative. We’ll finish a presentation on surface curvature in which we'll make the connection between the Riemann curvature tensor and the curvature of a surface where the terms "principal curvatures" and "total (or Gauss...