3
$\begingroup$

I want to ask for a reference to study Variational Calculus from a formal point of view. What I mean is that many of the references that I've found are inside Physics books, and the authors do not care too much about mathematical rigour. For example, I think it's very important to make a distinction between a function $ f: \mathbb{R} \to \mathbb{R}$ and it's value on some point $y = f(x)$, however, those references usually speak loosely like "the function $y(x)$" and I really think that this isn't good.

Can someone point out then what's a good reference to learn variational calculus from a mathematically rigorous point of view?

Sorry if this question is silly, and thanks in advance!

$\endgroup$
  • $\begingroup$ Arnold's book "Mathematical Methods of Classical Mechanics" has something to say about that. You might be also interested in Bleecker's "Gauge theory and variational principles" $\endgroup$ – c.p. Apr 1 '13 at 23:42
2
$\begingroup$

I.M. Gelʹfand, S.V. Fomin "Calculus of variations".

$\endgroup$

Your Answer

By clicking “Post Your Answer”, you agree to our terms of service, privacy policy and cookie policy

Not the answer you're looking for? Browse other questions tagged or ask your own question.