Visual Category Theory, Additional Topics
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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.

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  • Categories

    • Functional Programming
    • Computer Science
    • Graph Theory
    • Mathematics

About the Books

Visual Category Theory Brick by Brick, Part 6

Using LEGO® to Teach Abstract Mathematics
  • 26

    Readers

  • 22

    Pages

  • 100%

    Complete

  • PDF

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
  • 22

    Readers

  • 25

    Pages

  • 100%

    Complete

  • PDF

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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