Blog articles/Mathematics
From HaskellWiki
(Difference between revisions)
(elaborate) |
(Expanding titles, adding back in dropped 'ω') |
||
| Line 37: | Line 37: | ||
=== Set theory === | === Set theory === | ||
| - | * | + | * Ordinals in Haskell |
| - | ** [http://japple.blogspot.com/2007/02/countable-ordinals-in-haskell.html | + | ** [http://japple.blogspot.com/2007/02/countable-ordinals-in-haskell.html Countable ordinals] |
| - | ** [http://japple.blogspot.com/2007/06/ordinals-part-2.html | + | ** [http://japple.blogspot.com/2007/06/ordinals-part-2.html Uncountable ordinals and better representations for countable ordinals] |
| - | * [http://japple.blogspot.com/2007/06/constructability-uncountability-and.html Constructability, Uncountability, and -Haskell] | + | * [http://japple.blogspot.com/2007/06/constructability-uncountability-and.html Constructability, Uncountability, and ω-Haskell] |
* [http://community.livejournal.com/evan_tech/220036.html Defining a power set in one line] | * [http://community.livejournal.com/evan_tech/220036.html Defining a power set in one line] | ||
Revision as of 16:13, 2 July 2007
Articles using Haskell for mathematics, and the mathematics of Haskell.
For further references see the:
Contents |
1 Haskell for mathematics
1.1 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?
1.2 Calculus and Differential Geometry
1.3 Algebraic Topology and Geometry
1.4 Geometry
1.5 Group theory
- Computational Group Theory in Haskell
- Carry bits and group cohomology
- Monads from Algebra and the the Gray Code from Groups
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
1.9 Cryptography and coding theory
- Feistel Ciphers and DES in Haskell
- Arithmetic coding in Haskell
- Two-dimensional spatial hashing with space-filling curves
1.10 Logic
1.11 Numerics
- The Division Bell
- 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
- Category Theory and the Category of Haskell programs:
- 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.
