Fundamentally this book is about the application of abstract algebra to the analysis of accounting systems.
Add in APL or J (or Haskell if you must) by way of "Algebra: An Algorithmic Treatment" (http://www.amazon.com/Algebra-algorithmic-treatment-Kenneth-...), and you build a quite rigorous proof-based accounting system.
Would be beautiful to have a provably correct implementation, perhaps v4!