I don't think so! Math is boring! Well, not boring, exactly, but not a worthwhile subject in and of itself.
Hmmm?
Mathematics gives us the only solid ground we have to stand on.
But I wouldn't major in math. I don't know what mathematicians do for a living. Other than teach... I went to school to get a job!
For me, math was 'applied'. I learned what I needed to know to advance through the program at hand. I didn't spend any time on side issues. Somehow I managed to pull off 140 units in 4 years plus another 31 units of grad school in another year. There was no time for side issues. Head down, move forward...
I agree, math describes everything around us. But it isn't necessary to know a lot about theoretical math to get through EE school.
For the average hobbyist, math isn't going to be a stumbling block. Sure, they can't 'invent' new stuff but neither can I. But I can copy and paste quite well and much of hobby electronics really comes down to copy and paste. Everything I could possibly want has already been invented and I can find it on the Internet!
There's no reason for us to discourage an interest in electronics by blowing the math side completely out of proportion. There's a lot of fun in the hobby without having to get a graduate degree in math.
Furthermore, knowing the math doesn't provide an ounce of intuition. All of that comes from lab work. Build something, see how it works. Change some values and see how that works. Rinse and repeat. That's why I mentioned "Learning The Art Of Electronics". At some point it is necessary to put parts together. Equations are interesting but parts bring circuits to life.
All of my references to number crunchers (FORTRAN, Excel, Microsoft Mathematics, calculators) are just simple tools to handle the arithmetic. Clearly they don't solve a 'problem', they just handle the boring details. They produce a number that we would have gotten with a sliderule back in the early '70s. No more, no less. Except, of course, that they can produce graphs that we had to plot by iterative solutions on that sliderule. What a PITA!
The real math comes from knowing what to plug in to the cruncher. It seems to me that knowing what to plug in is a lot easier, and less tedious, than crunching the numbers. And a lot more important.
We didn't start out taking 40+ units of math classes before starting DC circuits. It all just came along as it was necessary. The same will happen here.