Visual Category Theory Brick by Brick, Part 0
Using LEGO® to Teach Abstract Mathematics
This free to download and distribute Part 0 was added to Visual Category Theory Brick by Brick series to explain mathematical notation and other foundational aspects used in brick construction annotations.
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About the Book
This free to download and distribute Part 0 was added to Visual Category Theory Brick by Brick series to explain mathematical notation and other foundational aspects used in brick construction annotations. Some readers expressed concern that the notation used is unfamiliar to them, and I realized that not everyone is continuously reading books on mathematical logic and set theory or studied proper foundations of mathematical analysis where they encountered logical quantifiers. Part 0 covers universe and sets, set-builder notation, set membership, set inclusion, subsets as members, membership vs. subset, powerset, relations, functions, domain, codomain, range, injection, surjection, bijection, product, union, intersection, set difference, symmetric set difference, sets of functions, function composition, inverse functions. The cover subtitle alludes to an initial object in category theory introduced in Part 2.
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Dmitry Vostokov
Episode 213
An Interview with Dmitry Vostokov
Contents
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