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How to Prove it?

Physics and mathematics are deeply linked on several levels. As you might expect, the equations governing the behaviour of large systems can be very complicated, and mathematics is used to simplify things, but even on the most fundamental level we always seem to find that the connection to maths is still there and that the fundamental laws are mathematical in nature.

 

One of the key ideas that Physics borrows from Maths is that of a proof: typically you will translate some statement about nature in mathematics, and then logically proceed to show that something else must therefore be true. This page contains 'proofs' of several key A level results (although obviously, unlike in mathematics, the final arbiter is experiment).

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