# Haskell and mathematics

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## Revision as of 07:32, 29 June 2007

Haskell is growing in popularity among mathematicians. As one blogger put it:

- "after my involving myself in the subject, one thing that stands out is the relatively low distance between thought expressed in my ordinary day-to-day mathematical discourse, and thought expressed in Haskell code."

and

- "How can Haskell not be the programming language that all mathematicians should learn?"

To paraphrase Hilbert ("Physics is too complicated for Physicists"), the relative obscurity of Haskell (a language with a strict notion of functions, higher-order-functions, and types) amongst mathematicians may be that:

- "Haskell is too mathematical for many mathematicians."

This page collects resources for using Haskell to do mathematics.

## Contents |

## 1 Textbooks

See Books and tutorials/Mathematics

## 2 Libraries

A growing collection of Haskell math libraries.

## 3 Theorem proving

There has been a long tradition of mechanised reasoning in and about Haskell.

## 4 Mathematics from a Haskell perspective

Articles on computational and category theoretic branches of mathematics, and their role as a foundation for programming and Haskell itself.

## 5 Tutorials and blogs on Haskell for mathematicians

There's an active commuity of (professional and amateur) mathematicians blogging about Haskell and mathetmatics.

## 6 Mathematical hierarchy

An initiative to develop a mathematically sound algebraic class hierarchy for Haskell. See Haskell and mathematics/Hierarchy