Haskell and mathematics
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."
- "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.
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