Surfaces in Space

Related lectures (31)

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Explores curves with Poritsky property, Birkhoff integrability, and Liouville nets in billiards.

Covers the representation of plane curves and the nature of obtained curves.

Covers implicit surfaces, parametric descriptions, regular parametrization, normal vectors, and orientable surfaces.

Explores arc length calculation for curves and polygons inscribed in circles using trigonometry and parametric equations.

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

Explores parametric curves, focusing on finding envelopes and caustics.

Explores the derivative of curve lengths, fixed-end deformations, geodesics, surface point typologies, and sphere parametrization.

Covers the geometric properties of hyperbolic paraboloids and hyperboloids, focusing on their construction and curvature characteristics.

Explores the Isoclines Method and solutions of differential equations with tangents.

Covers the integration of differential forms on smooth manifolds, including the concepts of closed and exact forms.