Lectures related to Modular Arithmetic: Inverses and Equations

Covers the integration of differential forms on smooth manifolds, including the concepts of closed and exact forms.

Explores the composition of applications in mathematics and the importance of understanding their properties.

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

Covers the Meyers-Serrin theorem in analysis, discussing the conditions for functions in different spaces.

Explains the Wronskian and its role in determining linear independence of solutions to differential equations.

Explains the Wronskian and its role in determining linear independence of solutions to differential equations.