I have not worked on this site for over two (2) years, but it covers many of the basics of F#, while trying to be idiomatically-correct and algorithmically efficient, solving mathematical problems functionally:
- Functions (non-state, no side effects)
- Tail recursion
- Non-mutable variables
- Lambda notation
- Pattern matching
- Sequences, arrays, lists, and tuples
- Array slicing
Additionally, some solutions are improved upon using .NET components to speed the process, e.g., parallel processing.
Also, you might find these interesting, additional work done in F#:
Basic Statistical Functions, a very basic F# class for performing standard deviation and variance calculations.
Various Number Functions, a collection of basic mathematical functions written in F# as part of my learning via Project Euler. This module has functions for creating arrays or calculating values for the following:
- Collatz Sequence
- Terra Sequence
- Distinct Primes
- Random Numbers and Arrays