Geometry: Geometric Computing

Related lectures (25)

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Covers the basics of linear algebra, emphasizing the identification of subspaces through key properties.

Explores static equilibria, geometric data representations, and shape optimization to make a geometric object stand.

Explores the definition and properties of Hermitian forms in complex vector spaces.

Explores vector spaces, focusing on properties, examples, and subspaces within a practical exercise on polynomials.

Covers the basics of geometry modeling and meshing for numerical flow simulation, including mesh quality metrics and different meshing algorithms.

Explains linear independence, bases, and dimension in vector spaces, including the importance of the order of vectors in a basis.

Explores matrix operations, linear systems, solutions, and the span of vectors in linear algebra.

Covers matrices, linear applications, vector spaces, and bijective functions.

Covers linear applications between vector spaces, exploring their properties and uniqueness based on bases.

Introduces linear applications, span, kernels, and images in vector spaces with illustrative examples and theorems.