Articles using Haskell for mathematics, and the mathematics of Haskell.
For further references see the:
1 Haskell for mathematics
- Eleven Reasons to use Haskell as a Mathematician
- Haskell for Maths: commutative algebra, combinatorics, number theory, and group theory libraries (blog, hackage)
- Learn Maths with Haskell
- Prototyping thought
- Why Haskell?
1.2 Calculus and Differential Geometry
1.3 Algebraic Topology and Geometry
- Visualizing 2D convex hull using Gtk and OpenGL in Haskell
- Calculating the reflect-rotate-translate normal form for an isometry of the plane in Haskell, and verifying it with QuickCheck.
- Drawing fractals in Haskell with a cursor graphics DSEL and a cute list representation
1.5 Group theory
- Computational Group Theory in Haskell
- Carry bits and group cohomology
- Monads from Algebra and the the Gray Code from Groups
- Infinite lazy Knuth-Bendix completion for monoids in Haskell
1.6 Set theory
- Ordinals in Haskell
- Constructability, Uncountability, and ω-Haskell
- Defining a power set in one line
1.7 Ring theory
1.8 Number theory
- Number theory and Haskell:
1.9 Cryptography and coding theory
- Feistel Ciphers and DES in Haskell
- Arithmetic coding in Haskell
- Two-dimensional spatial hashing with space-filling curves
- Overloading Haskell numbers
2 Theorem proving
3 Quantum computing
- The Essence of Quantum Computing
- Monads for vector spaces, probability and quantum mechanics pt. I
- Monads, Vector Spaces and Quantum Mechanics pt. II
- Independence, entanglement and decoherence with the quantum monad
- The Shor Quantum Error Correcting Code (and a Monad for Heat)
- The Frame Of Reference Monad
4 Mathematics of Haskell
4.1 Category theoretic
- Why isn't ListT list a monad?
- Reverse Engineering Machines with the Yoneda Lemma
- Variable substitution gives a...
- Games, Strategies and the Self-Composition of the List Monad.