Mathematics

Related lectures (31)

Page 3 of 4

Explores cohomology and the cross product, demonstrating its application in group actions like conjugation.

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

Covers the Algebraic Kunneth Theorem, explaining chain complexes and cohomology computations.

Explores harmonic forms on Riemann surfaces, covering uniqueness of solutions and the Riemann bilinear identity.

Covers the cup product on cohomology, acyclic models, and the universal coefficient theorem.

Covers distributions, derivatives, convergence, and continuity criteria in function spaces.

Covers ideals, representations, modules, and maximal ideals in associative algebras.

Explores the geometric properties of paraboloids and hyperboloids in architecture, emphasizing their design implications and practical applications.

Introduces hyperbolic geometry, covering complete metric spaces, isometries, and Gaussian curvature in dimension 2.

Covers the normalization process of plane algebraic curves, focusing on irreducible polynomials and affine curves.