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 ==Tutorials and blogs on Haskell for mathematicians==   ==Tutorials and blogs on Haskell for mathematicians== 
   
−  * [http://sigfpe.blogspot.com/2006/11/whyisntlisttmonad.html Why isn't ListT list a monad?]
 +  There's an active commuity of (professional and amateur) mathematicians [http://haskell.org/haskellwiki/Blog_articles/Mathematics blogging about Haskell and mathetmatics]. 
−  * [http://sigfpe.blogspot.com/2006/11/yonedalemma.html Reverse Engineering Machines with the Yoneda Lemma]
 +  
−  * [http://sigfpe.blogspot.com/2006/11/variablesubstitutiongives.html Variable substitution gives a...]
 +  
−  * [http://sigfpe.blogspot.com/2006/11/fromltheoremtospreadsheet.html From Löb's Theorem to Spreadsheet Evaluation]
 +  
−  * [http://sigfpe.blogspot.com/2006/10/gamesstrategiesandselfcomposition.html Games, Strategies and the SelfComposition of the List Monad.]
 +  
−  * [http://sigfpe.blogspot.com/2006/09/practicalsyntheticdifferential.html Practical Synthetic Differential Geometry]
 +  
−  * [http://sigfpe.blogspot.com/2006/09/morelowcostgeometricalgebra.html More Low Cost Geometric Algebra]
 +  
−  * [http://sigfpe.blogspot.com/2006/09/learnmathswithhaskell.html Learn Maths with Haskell]
 +  
−  * [http://sigfpe.blogspot.com/2006/08/algebraictopologyinhaskell.html Algebraic Topology in Haskell]
 +  
−  * [http://sigfpe.blogspot.com/2006/09/infinitesimaltypes.html Infinitesimal Types]
 +  
−  * [http://sigfpe.blogspot.com/2006/08/geometricalgebraforfree_30.html Geometric Algebra for Free!]
 +  
−  * [http://sigfpe.blogspot.com/2006/01/elevenreasonstousehaskellas.html Eleven Reasons to use Haskell as a Mathematician]
 +  
−  * [http://sigfpe.blogspot.com/2006/06/lawsofformopinion.html Laws of Form: An Opinion]
 +  
−  * [http://blog.mikael.johanssons.org/archive/2006/11/aalgebrasandgroupcohomology/ Aalgebras and group cohomology]
 +  
−  * [http://blog.mikael.johanssons.org/archive/2006/10/prototypingthought/ Prototyping thought]
 +  
−  * [http://blog.mikael.johanssons.org/archive/2006/10/computationalgrouptheoryinhaskell1inaseries/ Computational Group Theory in Haskell]
 +  
−  * [http://blog.mikael.johanssons.org/archive/2006/07/carrybitsandgroupcohomology/ Carry bits and group cohomology]
 +  
−  * [http://scienceblogs.com/goodmath/2006/11/why_haskell.php Why Haskell?]
 +  
−  * [http://scienceblogs.com/goodmath/2006/09/programs_are_proofs_models_and_1.php Programs are Proofs: Models and Types in Lambda Calculus]
 +  
−  * [http://www.quetzal.com/sambangu/2006/12/polynomialsasnumbers Polynomials as numbers]
 +  
−  * [http://vandreev.wordpress.com/2006/12/04/nonstandardanalysisandautomaticdifferentiation/ Nonstandard analysis, automatic differentiation, Haskell]
 +  
−  * [http://www.polyomino.f2s.com/ Haskell for Maths]: commutative algebra, combinatorics, number theory, and group theory
 +  
−  * [http://www.serpentine.com/blog/2007/01/11/twodimensionalspatialhashingwithspacefillingcurves/ Twodimensional spatial hashing with spacefilling curves]
 +  
   
 ==Mathematical hierarchy==   ==Mathematical hierarchy== 
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 daytoday 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, higherorderfunctions, and types) amongst mathematicians may be that:
 "Haskell is too mathematical for many mathematicians."
This page collects resources for using Haskell to do mathematics.
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