# Blog articles/Mathematics

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## Revision as of 07:25, 29 June 2007

## Contents |

## 1 Maths

### 1.1 Haskell for mathematics

#### 1.1.1 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?

#### 1.1.2 Calculus and Differential Geometry

#### 1.1.3 Algebraic Topology and Geometry

#### 1.1.4 Geometry

#### 1.1.5 Group Theory

#### 1.1.6 Set Theory

#### 1.1.7 Ring Theory

#### 1.1.8 Number Theory

#### 1.1.9 Cryptography and Coding Theory

- Feistel Ciphers and DES in Haskell
- Arithmetic coding in Haskell
- Two-dimensional spatial hashing with space-filling curves

#### 1.1.10 Logic

#### 1.1.11 Numerics

- The Division Bell

- Overloading Haskell numbers

### 1.2 Theorem Proving

### 1.3 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

### 1.4 Mathematics of Haskell

#### 1.4.1 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.