Introduction to Arrows and Differential Relations

Related lectures (32)

Page 2 of 4

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

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

Explains the differential method for calculating internal forces in beams and handling discontinuities at point loads.

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

Explores beam bending, moment distribution, and buckling in structural mechanics.

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

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

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

Explores the theory and applications of helical curves, focusing on circular helices with various parameters.

Covers beams with distributed loads, shear force, bending moment, and integration for beam analysis.