Implicit surface

Related lectures (32)

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Explores surfaces, curvature, ruled surfaces, and practical applications in geometry.

Explores the intrinsic geometry of regular surfaces and isometric transformations, including spheres and cylinders.

Discusses the uniqueness of implicit functions solutions and surfaces described by equations.

Explores the geometry of surfaces in R², including implicit descriptions, critical points, and regular surfaces.

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

Explains the definitions of cones and cylinders as ruled surfaces and how to find tangent planes to them.

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

Explains the calculation of solar power reaching Mars and the importance of considering the correct surface area for evaluation.

Covers the implicit functions theorem and its applications in defining functions implicitly and differentiating them.

Explores the implicit function theorem for n=2 and n=3, focusing on tangent hyperplanes.