It's not bragging to discuss real achievements. From time to time, I'll have a client tell suggest I not include key achievements in the resume.
"I don't want to brag." That's a great attitude, in some ways, and one I've heard from some of the most impressive clients I've worked with.
But is highlighting real achievements on your resume bragging? Not necessarily. Here are a couple of definitions from http://definr.com:
n : an instance of boastful talk; "his brag is worse than his fight" [syn: bragging, crow, crowing, vaporing, line-shooting] v : show off [syn: boast, tout, swash, shoot a line, gas, blow, bluster, vaunt, gasconade] I'm not going to write for a client, "I'm the greatest thing since peanut butter - because sliced bread without peanut butter is pretty dull." That's bragging - at an extreme level; there's no proof it's true - and it's mighty unlikely, anyway.
But think about it. If you accomplished something spectacular, something that genuinely impacted bottom line, it's not bragging to state that. It's letting the hiring authority know what you've done, with the clear implication that you can do the same thing in a new position.
Needless to say, style matters - confidence, not cockiness - is critical in a Technical Resume. But don't be shy about discussing what you've really accomplished. You're helping the hiring authority make an informed decision. And helping yourself get the job.