Visual Category Theory Brick by Brick, Part 6:Using LEGO® to Teach Abstract Mathematics (Visual Categories)

by: Dmitry Vostokov (Author)
ASIN:B089T2W5CG

Publisher: OpenTask (June 7, 2020)
Publication date:June 7, 2020

Language: English

Book Description

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.