https://github.com/christianparpart/fetisch

F# Mathematics Library
https://github.com/christianparpart/fetisch

algebra computer-algebra fsharp mathematics symbolic-manipulation

Last synced: about 2 months ago
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F# Mathematics Library

• Host: GitHub
• URL: https://github.com/christianparpart/fetisch
• Owner: christianparpart
• Created: 2019-01-24T14:42:33.000Z (about 6 years ago)
• Default Branch: master
• Last Pushed: 2019-06-17T18:41:56.000Z (over 5 years ago)
• Last Synced: 2024-10-29T03:22:30.153Z (3 months ago)
• Topics: algebra, computer-algebra, fsharp, mathematics, symbolic-manipulation
• Language: F#
• Size: 102 KB
• Stars: 1
• Watchers: 3
• Forks: 0
• Open Issues: 0
• Metadata Files:
  • Readme: README.md

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README

        
# Fetisch Math Library for F#

Fetisch is a self-contained math library, primarily focusing on Linear Algebra and Symbolic Algebra.

### Main Features

- BigRational, a custom bigint-based rational primitive

- Permutation, an API for dealing with permutations

- Symbolic Algebra

	- Expression Parser

	- Expression Simplification 

    - Expression Matching and Manipulation API (like grep & sed for algebraic expressions)

    - Numeric Calculator

- Linear Algebra:

	- Matrix, supports any mxn matrices of any underlying field type (not just BigRational but also symbolic expressions)

	- Matrix solver showing each step during transformation

    - standard Matrix operations, such as `determinant`, `trace`, and more.

    - and of course a `Vector<'T>`

### TODO

- LaTeX formatter

- Derivatives

- iterative determinant computation, so each computation step can be introspected (and even exported to LaTeX)