Robert Geroch - Mathematical physics (1985)

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One takes care at the beginning to be sure that "the mathematics is appropriate for the physics," that is, that everything in the mathematics has physical meaning and that all of the physics one wishes to talk about is describable in terms of the mathematics.

Robert Geroch

It takes a certain amount of effort to learn mathematics...

Robert Geroch

To answer a physical question, one first translates that question into various objects... in the mathematics, with various properties describing the physical setup. Then one manipulates these objects within the mathematics and translates results back into the physical terms. (These "translations" ultimately become automatic.)

Robert Geroch