Functor Mathematics

Chapter 1 - Functor Chapter 2 - Forgetful Functor, Full and Faithful Functors & Exact Functor Chapter 3 - Representable Functor and Enriched Category Chapter 4 - Derived Functor, Diagonal Functor and Subfunctor Chapter 5 - Adjoint Functors Chapter 6 - Preadditive Category, Span (Category Theory) and Profunctor Chapter 7 - Natural Transformation and Hom Functor Chapter 8 - Free Object and Functor Category Chapter 9 - Calculus of Functors, Diagram (Category Theory) and End (Category Theory) Chapter 10 - Yoneda Lemma, Classifying Space and Brown's Representability Theorem Chapter 11 - Monad (Category Theory) and Reflective Subcategory Chapter 12 - Morita Equivalence, Kan Extension and Isomorphism of Categories