You spoke of 'two-channel' mixes. My next question is: during the mastering process, is the mastering engineer not presented with these mixes on anywhere between 1-64 tracks, to which he has access to 'tweak', in order to 'remix' a little, to aid the mastering process?
Rami pretty much nailed the answer on that one. But for more...
See, now, I'm seeing mastering as a 'final mix' which adds the 'polish' (and technical considerations) as you say - but the process used to get there is going to be pretty much the same, as when mixing...? Tweaking levels and effects send levels, etc to get that final sound he's after...?
We're at the point where it gets difficult to tell whether we're saying different things, or saying the same thing, but semantics or vocabulary are mixing our signals. So let me throw this on the table just to make sure.
The "border" that separates mixing and mastering (more or less) is typically the mixdown; where the individual instrument tracks are summed or mixed together into their final number of channels (two for a stereo mix, or more for a surround sound mix). Mastering is what's done to the to the stereo or surround mix after the mixdown. Semantically, it's not the "final "mix", because the final mix is what's given to the mastering engineer. But yes, mastering is the creation of the final sound.
There are specific instances where that mixdown borderline fuzzes a little bit; sometimes the mix engineer might tweak the mixdown a little before handing it off for mastering.
And also sometimes, like Rami said, the mastering engineer does not receive a final mix, but rather a series of "stems", which are individual submixes instead of a final mix. For example, the mix engineer might create a stereo submix of just the rhythm section, another of just the accompaniment instruments, another of the backing vocals and another of the lead vocals (just for example). In such a case, the mastering engineer does indeed create the final mix from those stems. But that kind of stem mixing/mastering tends to be the exception more than the rule.
As far as gear, while the basic tool types (monitors, EQs, compressors, etc.) remain much the same, the studio configuration tends to be quite different. A mixing studio pretty much revolves around either a mixing board or a DAW (or both) with the fundamental purpose of turning massaging multiple instrument tracks or takes and blending them together into a final mixdown. A typical mastering studio configuration, OTOH, centers around a custom desk of signal processors (EQs, compresors, etc.) meant to massage the stereo mixdown (or more if surround sound) and record the results to either it's final medium or to the medium on which it will be transferred to a duplicating house which will make the copies on the final medium.
G.