[iainmerrick]

Mayyybe, I'm not so sure but you could be right. [Edit to add: even at Google, most programmers are not doing that kind of stuff most of the time.]

On the flip side, though, I think many programmers (even programmers who are up to date on their CS) are fairly weak at mathematics. We think we're good because we can, you know, invert a binary tree, but how about figuring out an appropriate filter to smooth some data, or verifying that some randomized process is unbiased?

For something like digital filters, if you have basic knowledge you can just look up wikipedia for the details. But the same applies to data structures and big-O!

A lot of companies (including Google) can benefit strongly from people with good maths or stats skills. Do those people also need to be strong in CS? Or if not, do they need to be siloed into a separate hiring process, and placed in separate departments?

I reckon CS, maths, stats and other specialized academic training should all be treated as nice-to-have skills, of varying importance depending on the team balance and project requirements.