Geometric calculus

Related lectures (19)

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Explores the reasons behind the abundance of saddle points in deep learning optimization, emphasizing statistical and geometric arguments.

Explains the concept of scalar product, its properties, and geometric interpretation.

Covers a review of vector calculus and the Maxwell equations in electromagnetism.

Explores landmarks, coordinates, vectors, coplanarity, Cartesian equations, and geometric rules in space.

Explores Lyapunov functions, Chetaev's theorem, and differential forms classification.

Explores modern geometric transformations and invariances, focusing on projective geometry and historical developments.

Explains the geometric definition of planes in space and how to determine their equations.

Covers the geometric definition of rotations in 2D and analytical expressions for rotations using matrices.

Covers symmetry operations in materials science, including rotations and helical axes.

Explores the construction and mathematical properties of simple, double, and harmonic geometric means using ruler and compass.