Welcome to Mint. You are going to love it!
Sorry no one answered your question earlier. Your system spec seems more than adequate. Try apic=off in the startup options when first booting from the live DVD.
I have been running into this problem quite a bit over the past week as I am reconditioning some older machines with Mint . . . previously I tried different DVDs, USB drives, etc. thinking the given error was realistic.
The apic option is discussed quite well here: viewtopic.php?f=46&t=36764