Tangent vectors without embedding space: Making tangent spaces linear

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Hands on with Manopt: Optimization on Manifolds

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Smooth maps on manifolds and differentials

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Manopt: Optimization on Manifolds

Introduces Manopt, a toolbox for optimization on manifolds, covering gradient and Hessian checks, solver calls, and manual caching.

Linear Transformations: Injective and Surjective

Explores injective and surjective linear transformations, kernel, image, and matrix operations.

Retractions vector fields and tangent bundles: Tangent bundles

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Fundamental Groups

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Linear Algebra Fundamentals

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Connections: motivation and definition

Explores the definition of connections for smooth vector fields on manifolds.

Algebraic Curves: Normalization

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Differential Geometry: Parametric Curves & Surfaces

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