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Covers the theory of groups and homotopical algebra, emphasizing natural transformations, identities, and isomorphism of categories.
Covers bijections between automorphisms and equivariant bijections in group isomorphisms.
Explains derivatives of composite functions and the chain rule theorem, emphasizing the importance of understanding function composition.
Covers the concept of function composition and the properties of bijections when composing functions.
Covers functions, integers, GCD, and reasoning by recurrence, including the Euclidean algorithm and induction principle.
