Category Theory and Functional Programming
by Mikael Vejdemo-Johansson
Publisher: University of St. Andrews 2012
Number of pages: 99
This text is intended to provide an introduction to Category Theory that ties into Haskell and functional programming as a source of examples and applications. Topics covered: The definition of categories, special objects and morphisms, functors, natural transformation, (co-)limits and special cases of these, adjunctions, freeness and presentations as categorical constructs, monads and Kleisli arrows, recursion with categorical constructs.
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This introduction to category theory is for readers with relatively little mathematical background. At its heart is the concept of a universal property, important throughout mathematics. For each new concept a generous supply of examples is provided.
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