Lectures related to Unit sphere

Explores conformal maps, hyperbolic geometry, and isometric properties of disks.

Explains closed surfaces like spheres, cubes, and cones without covers, and their traversal and removal of edges.

Explores Fubini's theorem, extending integration to complex regions like closed unit balls.

Discusses center of gravity, variable change, spherical coordinates, and bijectivity in mathematical analysis.

Explores the similarity of convex bodies, affine transformations, the Johen's Theover theorem, and KKT conditions.

Explores the physics of motion, including free fall and trajectory, emphasizing the role of mathematics in predicting and analyzing movement.

Explores Galilean transformations in spacetime, focusing on measurements and coordinate transformations.

Introduces structural mechanics concepts like distributed loads, centroids, and equilibrium in 2D and 3D.

Explores angle measurement using a unit circle, radians, and trigonometric concepts, including clock hand movements and infinite angles.

Explores fluid flow, Bernoulli's theorem violation, viscosity, and necessary force for rotating cylinders with different fluids.

Covers the applications of the Residue theorem in evaluating complex integrals related to real analysis.

Examines geometric singularities in architectural design through the analysis of spatial intersections.

Explores stress tensors and the divergence theorem in deformable bodies through examples and demonstrations.

Explains the concept of density, focusing on metals and their characteristics.

Covers mathematical reminders on trigonometry, focusing on angles in radians and trigonometric functions.

Explores parameterized curves, regularity, and geometric quantities like the carbide vector and curvature.

Explores general linear processes, the Wold decomposition theorem, and spectral analysis in time series analysis.