#27 in Mathematical physics books
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Reddit mentions of A Guide to Physics Problems, Part 1: Mechanics, Relativity, and Electrodynamics (The Language of Science)
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Reddit mentions: 1
We found 1 Reddit mentions of A Guide to Physics Problems, Part 1: Mechanics, Relativity, and Electrodynamics (The Language of Science). Here are the top ones.
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For textbooks, like what /u/Axi_om mentioned, I believe University Physics should be sufficient for most purposes. Generally, the IPhO doesn't test content that is obscure, but more of application and manipulation of formulae and algebra.
Calculus is a definite must, it's literally impossible to find a year which doesn't require it. However, the level of calc required isn't too high, as long as you can differentiate and integrate functions using basic techniques like substitution you should be fine.
Good practice books include http://www.amazon.com/Guide-Physics-Problems-Part-Electrodynamics/dp/0306446790 and http://www.amazon.com/200-Puzzling-Physics-Problems-Solutions/dp/0521774802, although the first book (A Guide to Physics Problems) might sometimes include content too deep for the physics olympiads.
Do ask away if you have anymore questions, ex IPhO participant here :)