**Category Theory and Functional Programming**

by Mikael Vejdemo-Johansson

**Publisher**: University of St. Andrews 2012**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.

Download or read it online for free here:

**Read online**

(online html)

## Similar books

**Combinatorics and Algebra of Tensor Calculus**

by

**Sen Hu, Xuexing Lu, Yu Ye**-

**arXiv**

In this paper, we reveal the combinatorial nature of tensor calculus for strict tensor categories and show that there exists a monad which is described by the coarse-graining of graphs and characterizes the algebraic nature of tensor calculus.

(

**2266**views)

**Basic Category Theory**

by

**Jaap van Oosten**-

**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.

(

**7322**views)

**Basic Category Theory**

by

**Tom Leinster**-

**arXiv**

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.

(

**2002**views)

**Higher Topos Theory**

by

**Jacob Lurie**-

**Princeton University Press**

Jacob Lurie presents the foundations of higher category theory, using the language of weak Kan complexes, and shows how existing theorems in algebraic topology can be reformulated and generalized in the theory's new language.

(

**7024**views)