**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

**Category Theory for Programmers**

by

**Bartosz Milewski**-

**unglue.it**

Category theory is the kind of math that is particularly well suited for the minds of programmers. It deals with the kind of structure that makes programs composable. And I will argue strongly that composition is the essence of programming.

(

**1449**views)

**Dynamical Systems and Sheaves**

by

**D. I. Spivak, C. Vasilakopoulou, P. Schultz**-

**arXiv**

A categorical framework for modeling and analyzing systems in a broad sense is proposed. These systems should be thought of as 'machines' with inputs and outputs, carrying some sort of signal that occurs through some notion of time.

(

**1454**views)

**Abelian Categories: an Introduction to the Theory of Functors**

by

**Peter Freyd**-

**Harper and Row**

From the table of contents: Fundamentals (Contravariant functors and dual categories); Fundamentals of Abelian categories; Special functors and subcategories; Metatheorems; Functor categories; Injective envelopes; Embedding theorems.

(

**7587**views)

**Basic Concepts of Enriched Category Theory**

by

**Max Kelly**-

**Cambridge University Press**

The book presents a selfcontained account of basic category theory, assuming as prior knowledge only the most elementary categorical concepts. It is designed to supply a connected account of the theory, or at least of a substantial part of it.

(

**8524**views)