So, I have been looking into college courses to see what I want my major to be, and I noticed that M.I.T offers two specified types of Mathematics. Pure and Applied. What is the major differences in Pure vs. Applied and what are examples of each?
Education – Difference Between Pure and Applied Mathematics
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Best Answer
The lines between these two divisions, much as in all divisions within mathematics, is often blurred. However, the traditional division between the two is that Applied Mathematics has a very clear connection to physical real-world problems. At its heart are PDE's, but also included are things like numerical methods and (once upon a time) what are now called computer science and statistics.
Pure Mathematics is mathematics for its own sake, pursuing questions based on the internal attractiveness of the questions. At its heart is number theory.