A Simple Method to Reduce Thermodynamic Derivatives by Computer
  Studies in thermodynamics often require the reduction of some first or second order partial derivatives in terms of a smaller basic set. A simple algorithm to perform such a reduction is presented here, together with a review of earlier related works. The algorithm uses Jacobians and is written in Maple language, but it is easily translated in terms of any other computer algebra language. 
Jacques H.H. Perk
physics.comp-ph physics.ed-ph physics.hist-ph