As an electrical engineer with a BS, I'm frustrated by not knowing all the math I need to fully grasp the theories involved in many areas of my job. For example, the statistical skill necessary in the analyzation of noise or in evaluating or simulating data. Also, I wish I understood the realm of orthogonal functions more to better understand communications/digital signal processing coding ideas better. My question is basically this: I have heard it said from the engineering side that mathematicians are not worthy of as much respect as engineers because what they learn is far afield--even the applied math being somewhat suspect. Still, isn't it better to learn the math first and apply it later? As engineers we seem to limit ourselves to learning just the part that is useful to us and not one bit extra. What do you math people have to say about this? Do you agree that studying math gives you a greater perspective than the engineer? Do you think that your work is worth the time you've put into it? I ask because I am considering leaning more toward math and less toward engineering in my future education. I would love to hear your opinions. -- The opinions expressed are purely my own.