Cardinality and Group Theory

Related lectures (25)

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

Introduces fundamental concepts of linear algebra, focusing on sets and operations.

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.

Covers sets, propositional language, reading, writing, containment, and cardinality.

Introduces the basics of group theory, defining groups, categories, and groupoids.

Covers simplicial and cosimplicial objects in category theory with practical examples.

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

Covers the basics of group theory, including sets, applications, and examples like permutations and rotations.