Calculus of Variations and the Functional Derivative

Chapter 2 - Calculus of Variations
Section 2.1 - Functionals of One Independent Variable

This video is one of a series based on the book:

"Variational Methods with Applications in Science and Engineering," by Kevin W. Cassel

[friedrichwilhelmhufnagel]

Thank you for this crystal clear demonstration on the nature of functionals

[RobertWF]

Thanks for posting, Kevin! I'm coming to this topic from the field of statistics.

[chadwinters]

I think the use of the term ϵ * η(x) is not so clear. What does du / dϵ look like geometrically?

[CC-bysn]

Does the functional derivative not depend on the x1 and x2 in the integral then?

[martonzoldy]

Excuse me, I think it is the Dirac delta distribution instead of the Kronecker delta.