HELP: Legendre transform

*To*: mathgroup at smc.vnet.net*Subject*: [mg5619] HELP: Legendre transform*From*: GB <berriz at husc.harvard.edu>*Date*: Fri, 27 Dec 1996 23:43:45 -0500*Organization*: Harvard University, Cambridge, Massachusetts*Sender*: owner-wri-mathgroup at wolfram.com

Hello. I understand the steps involved in taking the Legendre transform (often found in thermodynamics derivations, and not to be confused with the Laplace transform), but I have no intuitive feeling for what's going on. I.e., setting aside the formal manipulations, I don't understand what is the gist of Legendre's idea, and I don't think I could recognize unfamiliar situations in which taking the Legendre transform would be useful. Does anyone know of a Mathematica notebook that illustrates the Legendre transform and perhaps answers some of these questions? Thank you very much in advance for your help. Gabriel