Difference between revisions of "Blog articles/Mathematics"
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* Category Theory and the Category of Haskell programs: |
* Category Theory and the Category of Haskell programs: |
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| − | ** [http://www.alpheccar.org/ |
+ | ** [http://www.alpheccar.org/content/74.html Part 1] |
| − | ** [http://www.alpheccar.org/ |
+ | ** [http://www.alpheccar.org/content/76.html Part 2] |
| − | ** [http://www.alpheccar.org/ |
+ | ** [http://www.alpheccar.org/content/77.html Part 3] |
* [http://en.wikibooks.org/wiki/Haskell/Category_theory Category theory and Haskell] |
* [http://en.wikibooks.org/wiki/Haskell/Category_theory Category theory and Haskell] |
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Revision as of 23:34, 11 October 2011
Articles using Haskell for mathematics, and the mathematics of Haskell.
For further references see the:
Haskell for mathematics
General
- Eleven Reasons to use Haskell as a Mathematician
- Haskell for Maths: commutative algebra, combinatorics, number theory, and group theory libraries
- Learn Maths with Haskell
- Prototyping thought
- Why Haskell?
Calculus and Differential Geometry
Algebraic Topology and Geometry
Geometry
- Haskell, PDF and penrose tilings
- 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
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
Set theory
- Ordinals in Haskell
- Constructability, Uncountability, and ω-Haskell
- Defining a power set in one line
Ring theory
Number theory
- Number theory and Haskell:
Cryptography and coding theory
- Feistel Ciphers and DES in Haskell
- Arithmetic coding in Haskell
- Two-dimensional spatial hashing with space-filling curves
Logic
Numerics
- The Division Bell
- Overloading Haskell numbers
Theorem proving
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
Mathematics of Haskell
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.