# Haskell and mathematics

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Revision as of 01:12, 17 January 2008 by CaleGibbard (Talk | contribs)

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."
*[I doubt it. In fact, it seems to me that the opposite is more likely true. -- Cale]*

This page collects resources for using Haskell to do mathematics:

- Mathematics textbooks using Haskell
- The category of math libraries on the Hackage library database.
- A growing collection of Haskell math libraries.
- There has been a long tradition of mechanised reasoning in and about Haskell.
- Articles on computational and category theoretic branches of mathematics, and their role as a foundation for programming and Haskell itself.
- Articles about Haskell and mathematics
- A mathematical class hierarchy for Haskell. An initiative to develop a mathematically sound algebraic class hierarchy for Haskell.

Math papers using Haskell: