Composition of Applications in Mathematics

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

Introduces Cartesian product and induction for proofs using integers and sets.

Covers the basics of sets and operations in mathematics, from set properties to advanced operations.

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

Explores proof concepts, techniques, and applications in logic, mathematics, and algorithms.