Mapping Functions and Surjections

Related lectures (25)

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

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

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

Explores bijections in linear algebra and the concept of cardinality between sets.

Explores surjections in linear algebra, demonstrating their importance in mapping elements between sets.

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

Explores operations on sets, Cartesian products, and functions' properties.

Introduces sets, functions, and their properties, including injective and surjective functions, composition, and inverse functions.

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