Lectures related to Measure Theory: Sets and Algebras

Covers the generalities of functions, including the definition of an application between sets and the uniqueness of elements in the image set.

Covers the definition of applications, image of elements, and direct and reciprocal images.

Explores cylindrical coordinates, integrability, and volume calculations using examples.

Covers tensor algebras, symmetric and exterior algebras, and tensor products of modules.

Explores o-finite and finite measure spaces, probability measures, and inequalities, concluding with LP space completeness.

Explores mapping functions, surjections, injective and surjective functions, and bijective functions.