Re: Calculus of variations

*To*: mathgroup at smc.vnet.net*Subject*: [mg20146] Re: Calculus of variations*From*: wcamp92147 at aol.com (WCamp92147)*Date*: Sat, 2 Oct 1999 03:05:05 -0400*Organization*: AOL http://www.aol.com*References*: <7suv87$21u@smc.vnet.net>*Sender*: owner-wri-mathgroup at wolfram.com

>here are many texts >that discuss this problem. The ones I am familiar with are physics texts >such a Goldstein's mechanics book > >Kevin I'm sorry about the misunderstanding, guess I wasn't clear in my original post. I'm looking for a Mathematica-oriented book that deals with the calculus of variations, in particular how to "teach" Mathematica Leibniz's rules for differentiating integrals, and how to integrate by parts. The problem I am considering doesn't seem to fit quite into the classical framework of the calculus of variations, but I think would use similar techniques. I'll repeat the problem of interest here: given two functions of a single variable f1[x] and f2[x], which are 0 almost everywhere, find the value of x0 such that Integrate[(f1[x]-f2[x+x0])^2,{x,-infinity, infinity}] is minimized. Thanks for your response -- I had fogotten about the discussion in Goldstein, which has gathered dust on my bookshelf for years. Bill Campbell