# Blog articles/Mathematics

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* [http://sigfpe.blogspot.com/2006/01/eleven-reasons-to-use-haskell-as.html Eleven Reasons to use Haskell as a Mathematician] | * [http://sigfpe.blogspot.com/2006/01/eleven-reasons-to-use-haskell-as.html Eleven Reasons to use Haskell as a Mathematician] | ||

* [http://sigfpe.blogspot.com/2006/06/laws-of-form-opinion.html Laws of Form: An Opinion] | * [http://sigfpe.blogspot.com/2006/06/laws-of-form-opinion.html Laws of Form: An Opinion] | ||

− | * [http://blog.mikael.johanssons.org/archive/2006/11/a-algebras-and-group-cohomology/ | + | * [http://blog.mikael.johanssons.org/archive/2006/11/a-algebras-and-group-cohomology/ <math>A_\infty</math>-algebras and group cohomology] |

* [http://blog.mikael.johanssons.org/archive/2006/10/prototyping-thought/ Prototyping thought] | * [http://blog.mikael.johanssons.org/archive/2006/10/prototyping-thought/ Prototyping thought] | ||

* [http://blog.mikael.johanssons.org/archive/2006/10/computational-group-theory-in-haskell-1-in-a-series/ Computational Group Theory in Haskell] | * [http://blog.mikael.johanssons.org/archive/2006/10/computational-group-theory-in-haskell-1-in-a-series/ Computational Group Theory in Haskell] |

## Revision as of 02:48, 29 June 2007

## Contents |

## 1 Maths

### 1.1 Haskell for mathematics

- Learn Maths with Haskell
- Practical Synthetic Differential Geometry
- More Low Cost Geometric Algebra
- Algebraic Topology in Haskell
- Infinitesimal Types
- Geometric Algebra for Free!
- Eleven Reasons to use Haskell as a Mathematician
- Laws of Form: An Opinion
- -algebras and group cohomology
- Prototyping thought
- Computational Group Theory in Haskell
- Carry bits and group cohomology
- Polynomials as numbers
- Non-standard analysis, automatic differentiation, Haskell
- Feistel Ciphers and DES in Haskell
- Arithmetic coding in Haskell
- Haskell for Maths: commutative algebra, combinatorics, number theory, and group theory
- Two-dimensional spatial hashing with space-filling curves
- Countable Ordinals in Haskell
- Polynomials as numbers
- The Division Bell
- Haskell, PDF and penrose tilings
- Overloading Haskell numbers
- Number theory
- Category theory 1
- Category theory 2

### 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

- Why isn't ListT list a monad?
- Reverse Engineering Machines with the Yoneda Lemma
- Variable substitution gives a...
- From Lb's Theorem to Spreadsheet Evaluation
- Games, Strategies and the Self-Composition of the List Monad.
- Programs are Proofs: Models and Types in Lambda Calculus
- Why Haskell?
- Don't need the Y combinator
- ML, Haskell and Coq
- Djinn, Coq, Monad and a bit of Haskell
- Category Theory and the category of Haskell programs