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Pure math is done as a kind of art, similar to music, without any concern about how the results may apply to science or daily life. The major concern is how the results improve on other math. Pure math is only concerned with improving upon itself. Pure Mathematicians are master in Mathematics. Applied math relates to other things. It is math used to help advance science, engineering, or other fields that are not related to just math. Applied mathematicians are well equiped in every related branches of science where mathematics is used thus they are "jack of all trades but master of none".

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Q: What is the difference between pure math and applied math?
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