Number Theory | |
---|---|

Elementary Number Theory |
Tribonacci Number Euler's Totient Function |

Quadratic Field |
Gaussian Primes Eisenstein Primes |

Algebra | |
---|---|

Algebraic Equation |
Quadratic Equation Cubic Equation Quartic Equation |

Root of Unity |
5th Root of Unity 7th Root of Unity 9th Root of Unity 17th Root of Unity |

Mathematical Analysis | |
---|---|

Derivative |
Laplacian in Polar Coordinates Laplacian in Spherical Coordinates |

Series |
Euler's Formula |

Fourier Analysis |
Leibniz Formula |

We can execute all of the above calculations on our computers by executing the following commands.

All programs are under `/sample/math`

director of the git repository of Egison.

```
% egison -t sample/math/geometry/exterior-derivative.egi
[| (f|1 x y z) (f|2 x y z) (f|3 x y z) |]
[| [| 0 0 0 |] [| 0 0 0 |] [| 0 0 0 |] |]
```