I saw a BSOD today, oh boy, first in a while.

1. Grab WinDBG(x64) — install the Windows Software Development Kit (from here for 8.1) and select the debugging tools in the installer.
2. Launch WinDbgx64
3. Set the Symbol Search Path to SRV*C:\Windows\symbol_cache*http://msdl.microsoft.com/download/symbols
4. Save the workspace
5. Load the .dmp file
6. !analyze -v

For a windbg cheat sheet try https://labs.snort.org/awbo/windbg.txt

WinDbg howto and another

For memory related suspicions try memtest for memteat.org — you'll need a bootable something with it on...

For driver relateds suspicions follow the instructions to verify the drivers.