John von Neumann
Von Neumann was a pioneer of the application of operator theory to quantum mechanics , in the development of functional analysis , a principal member of the Manhattan Project and the Institute for Advanced Study in Princeton (as one of the few originally appointed), and a key figure in
David Hilbert
scientific careers. Hilbert obtained his doctorate in 1885, with a dissertation, written under Ferdinand von Lindemann , titled Über invariante Eigenschaften spezieller binärer Formen, insbesondere der Kugelfunktionen ("On the invariant properties of special binary forms , in particular
Mathematical physics
There are several distinct branches of mathematical physics, and these roughly correspond to particular historical periods. The theory of partial differential equations (and the related areas of variational calculus , Fourier analysis , potential theory , and vector analysis ) are perhaps
