Curvature Oriented Change of Notes

Related lectures (30)

Page 1 of 3

Explores curvature, inflection points, and angular functions in plane curves, highlighting the importance of inflection points.

Introduces the basics of differential geometry for parametric curves and surfaces, covering curvature, tangent vectors, and surface optimization.

Covers curvature, osculating circles, and the evolute of plane curves, with examples and equations.

Introduces hyperbolic geometry, covering complete metric spaces, isometries, and Gaussian curvature in dimension 2.

Covers linear and membrane theories of pressure vessels, differential geometry of surfaces, and the reduction of dimensionality from 3D to 2D.

Covers the application of the Weingarten map on regular surfaces and the shape operator.

Explores minimal surfaces, curvature, Laplace-Beltrami operator, numerical solutions, Laplacian smoothing, diffusion flow, and time integration.

Explores Gaussian curvature, principal curvatures, and nonlinear strain in thin elastic plates.

Explores the mechanics of slender structures, discussing plate evaluation, bending energy, and curvature tensors.

Explores the derivative of curve lengths, fixed-end deformations, geodesics, surface point typologies, and sphere parametrization.