Question

What areas of mathematics are being neglected by engineers?

Answer 1

It seems to me that the main thing engineers under-utilize from mathematics is that they don't pose their problems in a mathematically clear way. This can lead to all sorts of trouble down the line, for instance if a multiphysics PDE framework is extended with operator splitting without a mathematical formulation it can be really hard to diagnose why something isn't working.

This is *definitely* not something that I'm having to deal with right now and I'm *definitely* not annoyed by it.

Answer 2

Abstract algebra, symbolic logic, measure theory,

Answer 3

algebraic geometry, topos theory, category theory

Answer 4

Group theory has been historically neglected by engineers, but it is becoming a little more relevant now. Ditto for topology. Applied PDE and numerical analysis are still the bread and butter of engineering, but these days, as technology advances, engineers are finding novel ways to apply theory from more "pure" areas of math.

Answer 5

Most engineering problems can be solved using the area of a triangle. Pythagorean theorem or the Cosine Law will do. Seldom do engineers compute for the area generated by a rotating curve, in which case calculus is needed. For irregular areas, engineers do actual measurements of polygon and/or arc sides. Engineers do not need the fore front of mathematics.(Except probably when they go to a casino at night)