Gaussian Measure and Perimetric Inequalities

Covers optimization on manifolds, focusing on smooth manifolds and functions, and the process of gradient descent.

Introduces linear algebra, calculus, and optimization basics in Euclidean spaces, emphasizing the power of optimization as a modeling tool.

Explores Euclid's first proposition, ancient symmetria, and Vitruvius' architectural figures.

Covers the concept of area, axioms, and the area of rectangles.

Covers the Grassmann manifold and retractions on submanifolds.