Visual Category Theory, Additional Topics
Visual Category Theory, Additional Topics
About the Bundle
Category theory abstractions are very challenging to apprehend correctly, require a steep learning curve for non-mathematicians, and, for people with traditional naïve set theory education, a paradigm shift in thinking. The book uses LEGO® to teach category theory. Part 6 covers ideas that require a leap of abstraction: vertical and whisker compositions of natural transformations, identity and isomorphism of functors, equivalence, isomorphism, and adjoint equivalence of categories, functor and morphism categories, natural transformations as functors, representable functors, category of presheaves, Yoneda embedding and lemma. Part 7 covers ideas related to functional programming: exponentials, disjoint unions, endofunctors and natural transformations, partial and total functions, monads.
About the Books
Visual Category Theory Brick by Brick, Part 6
Using LEGO® to Teach Abstract Mathematics
Category theory abstractions are very challenging to apprehend correctly, require a steep learning curve for non-mathematicians, and, for people with traditional naïve set theory education, a paradigm shift in thinking. The book uses LEGO® to teach category theory. The sixth part covers ideas that require a leap of abstraction: vertical and whisker compositions of natural transformations, identity and isomorphism of functors, equivalence, isomorphism, and adjoint equivalence of categories, functor and morphism categories, natural transformations as functors, representable functors, category of presheaves, Yoneda embedding and lemma. It also includes an index for parts 1 - 6.
Visual Category Theory Brick by Brick, Part 7
Using LEGO® to Teach Abstract Mathematics
Category theory abstractions are very challenging to apprehend correctly, require a steep learning curve for non-mathematicians, and, for people with traditional naïve set theory education, a paradigm shift in thinking. The book uses LEGO® to teach category theory. The seventh part covers ideas related to functional programming: exponentials, disjoint unions, endofunctors and natural transformations, partial and total functions, monads.
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