Surface (mathematics)

Related lectures (31)

Explores implicit surface parametrizations and the use of metric tensors in surface parameterization.

Explores the complement problem for hypersurfaces in projective spaces and discusses isomorphism based on their complements.

Covers calculating surface areas of rotated curves using integrals and parameters.

Clarifies the use of Jacobian, normal vectors in surfaces, and arccos(z) constraints.

Explores the geometric properties of paraboloids and hyperboloids in architecture, emphasizing their design implications and practical applications.

Covers the calculation of angles between curves on regular surfaces and the concept of curvilinear abscissa.

Covers functions and properties of surfaces, including heat dissipation, roughness, energy dissipation, and surface treatments.

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

Explains canonical surface edge orientation and parametrization using cylindrical coordinates.

Explores principal curvatures and Gaussian curvature in the context of minimal surfaces, demonstrating their real-world applications.

Explores surface integrals, change of variables, and properties of regular surfaces.

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