Computing Minimal SurfacesExplores the computation of minimal surfaces, Laplacian, Gauss curvature, numerical solutions, and mesh processing.
Hyperbolic GeometryIntroduces hyperbolic geometry, covering complete metric spaces, isometries, and Gaussian curvature in dimension 2.
Surfaces with Constant CurvatureExplores surfaces with constant curvature, emphasizing the significance of minimal oriented radius and the properties of pseudo-spheres.
Curvature and Inflection PointsExplores curvature, inflection points, and angular functions in plane curves, highlighting the importance of inflection points.
Differential Geometry: SurfacesExplores the differential geometry of parametric surfaces, covering tangent space, normal curvature, principal curvatures, and asymptotic curves.
Differential Geometry of SurfacesCovers the fundamentals of differential geometry of surfaces, including the equilibrium of shells, pressure vessels, and the curvature of surfaces.
Discrete Differential GeometryCovers topics in discrete differential geometry, including differential operators, Laplace-Beltrami operator, functions on triangle meshes, and discrete curvatures.