The Question : 109 people think this question is useful I just read that most practical problems (algebraic equations, differential equations) do not have a symbolic solution, but only a numerical one. Numerical computations, to my understanding, never deal with irrational numbers, but only rational numbers. Why do mathematicians construct the real numbers and go

The Question : 116 people think this question is useful The other day I and my friend were having an argument. He was saying that there is no real life application of Topology at all whatsoever. I want to disprove him, so posting the question here. What are the various real life applications of topology?

The Question : 156 people think this question is useful I am trying to think/know about something, but I don’t know if my base premise is plausible. Here we go. Sometimes when I’m talking with people about pure mathematics, they usually dismiss it because it has no practical utility, but I guess that according to

The Question : 196 people think this question is useful My plan as an undergraduate was unequivocally to be a pure mathematician, working as an algebraist as a bigshot professor at a bigshot university. I’m graduating this month, and I didn’t get into where I expected to get into. My letters were great and I’m