Closed Surfaces and Integrals

Related lectures (32)

Page 3 of 4

Explores surface integrals over parameterized orientable surfaces and their applications in flux and work evaluation.

Explores Green's Theorem applied to surface integrals, emphasizing regular surfaces and coordinate transformations.

Explores the intersection of a sphere, cone, and paraboloid in 3D space.

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

Covers thin pressure vessels, differential geometry of surfaces, and plate buckling theories.

Introduces general surfaces, explaining parameterizations, regularity, and integrals with examples like cylinder shells and spheres.

Covers the concept of bounding the Poisson bracket invariant on surfaces, exploring joint work with A. Logunov and S. Tanny.

Discusses geometric principles in architecture, focusing on hyperboloids and paraboloids and their applications in design and structural engineering.

Explores surfaces with variable curvature, constant curvature, and gothic surfaces, as well as singularities and the inversion of normals.

Explains surface normals for parametric and implicit surfaces, focusing on vector analysis and examples with spheres.