I am currently in my junior year and am thinking of pursuing Mechanical Engineering further. I find Fluid Mechanics, Heat Transfer, Thermodynamics and Combustion very interesting, but the thing is I am equally into Computational, Numerical stuff. Adding to the dilemma is my evergreen love for proofs and rigorous math. My questions are 1) Whether somebody like me should go for a masters in Math, specializing in say Differential Equations or maybe Computational and Applied Math ? How much would it help me during my doctorate? Will it give me better job opportunities (say I am choosing between Applied and Theoretical Math)? 2) Whether pursuing a Masters in Math will give me an advantage while getting a technical job (professorship excluded) ? If so, usually in which sub-branches of MechE?