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Topic : Re: Writing about the historical relationship between math and physics I'm not sure if this is best suited for Writing SE, or perhaps one of the science SE's. In any case, feel free to move this - selfpublishingguru.com

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From a theoretical physics perspective alone you should separate it into:

Classical Physics
Relativity
Quantum

This structure also alludes to a chronological/historical order since the last 2 are more recent than the first.
Then you will have to concentrate only on the mathematical principles (mathematical physics):

Calculus:

basic - kinematics and more for math in classical physics see this
tensor - everything especially quantum an relativity see other math in quantum physics and string theory as well as math in relativity

Differential equations see applied mathematics

Statistics and probability - statistical mechanics.

Algebra - used in most equations - this is relatively minor

Possibly combinatorics? Basically anything else important

You will need to know the history of the areas of physics that use math and the history of that math, but once you have explained the history of calculus and differential equations, most topics in physics can be relate to it. Warning: if you write about the discovery of calculus then it won't be necessary to bring it up every time calculus is used.


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