**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

**An Introduction to Category Theory in Four Easy Movements**

by

**A. Schalk, H. Simmons**-

**Manchester University**

Notes for a course offered as part of the MSc. in Mathematical Logic. From the table of contents: Development and exercises; Functors and natural transformations; Limits and colimits, a universal solution; Cartesian closed categories.

(

**7610**views)

**Seminar on Triples and Categorical Homology Theory**

by

**B. Eckmann**-

**Springer**

This volume concentrates a) on the concept of 'triple' or standard construction with special reference to the associated 'algebras', and b) on homology theories in general categories, based upon triples and simplicial methods.

(

**7264**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.

(

**7427**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.

(

**1740**views)