Walter once bubbled...
No. You don't need a computer. A computer is certainly nice to have, but far from necessary.
I agree, but disagree.
While its true that you don't really have to have a dive computer to dive safely (and all that), the reason I disagree is because pragmatically, a dive computer is a tool that among other things, can make diving more cost-effective by increasing your bottom time for a fixed cost dive, and that may be the justification to invest in a computer, even though its not technically "needed".
For a general example, say that we get a hour's worth of bottom time on tables on a $60 dive trip. This means that the cost of that bottom time was (60min/$60) = $1/minute. But if a dive computer would have allowed 70 minutes BT, while our fixed costs remain the same, our effective "per minute of BT" cost drops to $0.86/minute (= 70min/$60)
Granted, this is oversimplistic: we chose to ignore the cost of the dive computer. But this can be accounted for when we look at more than a single dive.
For example, the mentioned Galapagos trip. It depends on what he's planning on doing, but the typical liveaboard as $3K (after staff tip), plus at least another $1K in airfare, transfers and incidentals, which means that a week is going to run around $4K. The diving schedule will give you around 20 dives in that week, so spending $4K for 20 dives works out to $200/dive.
If we assume each dive is 50 minutes on tables, that works out to $4/minute.
Galapagos dives are sufficiently multilevel to allow a longer bottom time, and we'll add in the computer's cost. Let's assume $250 for a basic computer, and an extra 10 minutes per dive.
As such, the calcuation becomes ($4000+$250)/(20dives*60min/dive) = $3.54/minute.
Since this "cost per minute of bottom time" rate went down, it means that the dive computer investment is cost-effective.
The only real hitch with this analysis is the philisophical question of if bottom time is an appropriate measuring stick for making such comparisons. That's a YMMV.
-hh
PS: if your air consumption is good, this same "cost effectiveness" type of evaluation can be done to determine if its worth getting Nitrox too.