Tangent space

Related lectures (30)

Delves into tangent vectors as equivalence classes on manifolds, highlighting their abstract nature and role in optimization.

Covers the study of parametric curves and tangent vectors.

Covers the concept of local frames, their construction, and limitations.

Covers parametric curves, including examples, symmetry, tangent vectors, and derivative signs.

Introduces Hodge duality, covariant derivatives, and key concepts in differential geometry.

Explores finding the equation of the tangent line to a function's graph at a point.

Explores the importance of comparing tangent vectors at different points using algorithms and finite differences.

Explores tangent spaces in algebraic geometry, defining them as finite-dimensional subspaces of derivations on varieties.

Covers Descartes' Folium, a parametric curve with specific equations and properties, including domain boundaries and tangent vector analysis.

Covers tangent spaces and submersions in differential geometry, emphasizing vector spaces and differentiable structures.

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