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Applied Maths?

When someone talks about applied maths vs pure maths, what exactly is the difference?
Reply 1
It's pretty much as you'd expect: applied maths is motivated by applications, and pure maths isn't. So for example, the study of mechanics is a type of applied maths, and the study of algebraic topology is a type of pure maths. Some areas fall under both categories, for example differential equations, which can be studied from a pure maths perspective (like how they behave, existence and uniqueness of solutions, etc) or an applied maths perspective (e.g. modelling the motion of a particle or the growth of a population).

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