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)