9
votes
1answer
246 views

Who first resolved Hilbert's 20th problem?

Hilbert's 20th problem concerns the existence of solutions to the fundamental problem in the calculus of variations. I understand that Hilbert, Lesbesgue and Tonelli were pioneers in this area. In ...
6
votes
3answers
577 views

Who came up with the Euler-Lagrange equation?

Which man came up with the solution to the basic Calculus of Variations problem first? http://en.wikipedia.org/wiki/Euler-Lagrange Makes it sound like Lagrange got it first in 1755, then sent it to ...
12
votes
3answers
2k views

What was Weierstrass's counterexample to the Dirichlet Principle?

Shortly after his work on the foundations of geometry David Hilbert turned his attention to finding a suitable statement of the Dirichlet principle, from which to prove the Riemann mapping theorem and ...