Mathematica 9 is now available
Services & Resources / Wolfram Forums
-----
 /
MathGroup Archive
1997
*January
*February
*March
*April
*May
*June
*July
*August
*September
*October
*November
*Archive Index
*Ask about this page
*Print this page
*Give us feedback
*Sign up for the Wolfram Insider

MathGroup Archive 1997

[Date Index] [Thread Index] [Author Index]

Search the Archive

RE: HELP: Legendre transform

  • To: mathgroup at smc.vnet.net
  • Subject: [mg5633] RE: [mg5619] HELP: Legendre transform
  • From: "Artz, Ray E @EAG" <ray.e.artz at lmco.com>
  • Date: Wed, 1 Jan 1997 21:04:59 -0500
  • Encoding: 30 TEXT
  • Sender: owner-wri-mathgroup at wolfram.com

GB wrote:

...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 can't help with a Mathematica program, but I can suggest that the
"best"  way to view the Legendre transform (at least in many
applications) is from the viewpoint of convex analysis.  Since you
mentioned thermodynamics, a good place to start would be Wightman's
introduction (actually an expository essay on the history of convexity
methods in thermodynamics) to Israels monograph "Convexity in the Theory
of Lattice Gasses".   The standard reference on Convex Analysis is the
text "Convex Analysis" by Rockafellar, but I am not too familiar with
it.   I personally found the first chapter of "Convex Analysis and
Minimization Algorithms" by Hiriart-Urruty and Lemarechal very readable
and insightful.

GB:  This is a topic that I am currently interested in, especially for
statistical applications.  Please report your progress to Mathgroup
and/or me personally.  (Also feel free to contact me you can't find the
references (I may have misspelled, etc.)

Ray Artz
ray.e.artz at lmco.com
artz0002 at gold.tc.umn.edu



  • Prev by Date: Re: Interactive plotting in Mathematica?
  • Next by Date: Re: Bug in SymbolicSum, or am I just stupid?
  • Previous by thread: Re: Interactive plotting in Mathematica?
  • Next by thread: Re: Bug in SymbolicSum, or am I just stupid?