I don't understand why the author seems to discount anything remotely complex as not mathematical. For example,
> Today's submicrometer transistors involve complicated effects that the earlier models neglected, so engineers have turned to computer simulation software to model smaller transistors. A more effective formula would describe transistors at all scales, but such a compact formula does not exist.
What the heck does she think the code of the simulation software is? People wrote that code so that engineers can actually get work done at Intel. Furthermore, aren't those "complicated effects" at smaller scales due to quantum mechanics which are extremely well-defined by math?
Why is there the assumption that describing something in the most general form (like "transistors at all scales") is still going to be simple? Is everything supposed to be as simple as E = mc^2?