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Message: <blockquote data-quote="WishfulApplicant" data-source="post: 279997" data-attributes="member: 27494">Hello everyone, I started this thread due to some confusion in my part, i'm somewhat confused on how rigorous and extensive one's math background should be. I understand that the minimum requirements such as: Calculus I, II, III, Linear Algebra, probability, statistics and ODEs but to what extent are they supposed to be covered? sometimes I read mentions about real analysis and measure theory and my question is why? how exactly would someone stand to benefit from these courses? Another thing I don't understand from employers is the preference for PhDs, I can't quite comprehend how they can bring value or are raise their advantage. They praise the PhDs ability to do research but at the same time those who get industry jobs (irrelevant to their research) could might as well be failed academics, how can you praise their research ability when they couldn't do proper research in their own domain which they're prepared for. Eventually, how can they even depend on their coding abilities if they don't come from a computational heavy PhD that relies on C++ or Python.What does a pure math or mathematical physics PhD bring to the table and what exactly can they perceive and others don't?</blockquote>