# Blog articles/Mathematics

### From HaskellWiki

< Blog articles(Difference between revisions)

BrettGiles (Talk | contribs) m (Case) |
DonStewart (Talk | contribs) (→Set theory) |
||

Line 32: | Line 32: | ||

=== Set theory === | === Set theory === | ||

* [http://community.livejournal.com/evan_tech/220036.html Powerset oneliner] | * [http://community.livejournal.com/evan_tech/220036.html Powerset oneliner] | ||

− | * [http://japple.blogspot.com/2007/02/countable-ordinals-in-haskell.html | + | * Coutable ordinals in Haskell |

+ | ** [http://japple.blogspot.com/2007/02/countable-ordinals-in-haskell.html Part 1] | ||

+ | ** [http://japple.blogspot.com/2007/06/ordinals-part-2.html Part 2] | ||

=== Ring theory === | === Ring theory === |

## Revision as of 04:17, 30 June 2007

Haskell and mathematics. See also the Haskell math community.

## 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

### 1.6 Set theory

- Powerset oneliner
- Coutable ordinals in Haskell

### 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.