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For questions about mathematical problems arising from physics, the natural science studying general properties of matter, radiation and energy.
16
votes
Newton equations, second order equation and (im)possible motions
Actually, Newton did NOT say that $F = m a$ (i.e., ${d^2 x \over dt^2} = {1\over m} F$) in the Principia. First of all, if he did, no one at that time would have understood what it meant since that wa …
9
votes
Maxwell Stress Tensor and Equations in Mathematician's Language
I have written a book called "The Geometrization of Physics" that explains this (see in particular page xi of the introduction). …
5
votes
What kind of Lagrangians can we have?
I believe the standard answer to your question is that if one starts from Newton's Laws of Motion for a system of particles, then the second law says essentially $F = Ma$, giving the equations of moti …