Is it really a "requirement," though? It sounds like it makes it easier to look at formulas as you would, say, on paper, but you can still build the same things as methods & functions.
I think there are certain mathematical operations that operate over what would be implemented as complex objects, so it is convenient to continue using these agreed upon symbols to implement your work.
// addition and multiplication of native integers
1 + 3 * 4
// add and mult of math objects
matrixA + matrixB * matrixC
// here the math is slightly occluded
add(matrixA, multiply(matrixB, matrixC)) E = 1/2 mv^2
With operator overloading: E = 0.5 * (m * v)**2
Without: E = (m.mult(v)).pow(2).times(0.5)
The operator overloaded example is Python (numpy) - the non-overloaded one is something I made up, but it's basically what it would need to look like.I think the first example is much closer to the maths.
This is not some contrived example, if you have raw data and you're using mathematical equations to work out relationships you do this kind of thing all the time.