Were famous or popular physicists like Galileo, Newton, Einstein, Feynman predominantly mathematicians or scientists (computing, experimenting, engineering, etc.)?
I am curious if people like the ones mentioned above spent much time on things that are more "purely" mathematical like proofs, or did they use math more as a means to an end and mostly compute number values based on experimentally-gathered inputs?
For example, there are stories about Feynman being good at computing and integrating or Newton "inventing" calculus, but I haven't heard anything about them proving anything in the way the Greeks did, or more recently Fermat, Euler, Gauss. Also, the university I attended only requires up through calculus and linear algebra for a BS in physics.