MathGroup Archive 1999

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

Search the Archive

Re: Calculus of variations

  • To: mathgroup at
  • Subject: [mg20146] Re: Calculus of variations
  • From: wcamp92147 at (WCamp92147)
  • Date: Sat, 2 Oct 1999 03:05:05 -0400
  • Organization: AOL
  • References: <7suv87$>
  • Sender: owner-wri-mathgroup at

>here are many texts
>that discuss this problem.  The ones I am familiar with are physics texts
>such a Goldstein's mechanics book

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

  • Prev by Date: How to change the font size of the help browser?
  • Next by Date: Re: Browser Safe Colors?
  • Previous by thread: Re: How to change the font size of the help browser?
  • Next by thread: Re: Calculus of variations