Orthogonality and Characters

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

Explores the properties of relations in computer science, including equivalence relations and the partition of a set.

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

Covers the Cartesian product of sets and binary relations with detailed examples and graphical representations.

Introduces logic, proofs, sets, functions, and algorithms in mathematics and computer science.

Covers the concepts of group characters, representations, and character tables.

Covers group quotient, group actions, and functors connecting sets and G-sets.

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

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

Explores adjunction between functors, composition of applications, G-equivariance, and natural transformations in G-sets.