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For questions about mathematical problems arising from physics, the natural science studying general properties of matter, radiation and energy.
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 …
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). …
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 …