Logo

Category Theory and Functional Programming

Small book cover: Category Theory and Functional Programming

Category Theory and Functional Programming
by

Publisher: University of St. Andrews
Number of pages: 99

Description:
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.

Home page url

Download or read it online for free here:
Read online
(online html)

Similar books

Book cover: Categories, Types, and StructuresCategories, Types, and Structures
by - MIT Press
Here is an introduction to category theory for the working computer scientist. It is a self-contained introduction to general category theory and the mathematical structures that constitute the theoretical background.
(13128 views)
Book cover: Toposes, Triples and TheoriesToposes, Triples and Theories
by - Springer-Verlag
Introduction to toposes, triples and theories and the connections between them. The book starts with an introduction to category theory, then introduces each of the three topics of the title. Exercises provide examples or develop the theory further.
(9817 views)
Book cover: Category Theory: A Gentle IntroductionCategory Theory: A Gentle Introduction
by - Logic Matters
I hope that what is here may prove useful to others starting to get to grips with category theory. This text is intended to be relatively accessible; in particular, it presupposes rather less mathematical background than some texts on categories.
(2743 views)
Book cover: Basic Category TheoryBasic Category Theory
by - University of Utrecht
Contents: Categories and Functors; Natural transformations; (Co)cones and (Co)limits; A little piece of categorical logic; Adjunctions; Monads and Algebras; Cartesian closed categories and the lambda-calculus; Recursive Domain Equations.
(7681 views)