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## Main Question or Discussion Point

What are the main maths used in the mentioned fields of physics? Not just general terms like "Calculus" but more specific maths. Also, what is the logic behind using these to solve problems in physics? Example, why would someone use differential calculus to calculate the probability of a particle tunneling through a barrier? ( i don't know if you would actually use differential calculus to solve a problem like that, im just trying to present my question better.)