Double Clutching is from the days of YOR when trannies didnt have syncros.

Totaly pointless in any car with a sycronized transmission.
Now there is a modern double clutching technique that is EXTREEMLY difficult to pull off, but does significantly improve trap times, but before I go on, DO NOT TRY THIS AT HOME! IT IS A TECHNIQUE FOR PROFESSIONAL RACING ONLY, AND REQUIRES A LOT OF PRACTICE ON A CAR YOU DONT CARE ABOUT THE DRIVETRAIN.
Now that the disclaimer is out of the way,
Drag double clutching (this was started in dragsters) consists of a combination of speed shifting, combined with a controlled slip (BTW, in moden funny cars, and some stock D cars, this is technique is actually done by a computer controlled clutch).
A step by step would go something like this:
Dump at prefered RPM, run to redline, when shifting do NOT let off the gas (this is the speed shifting part) but when you let the clutch up, let it up slowly on purpose so that the engine keeps a slightly higher RPM than if you just slammed it into the next gear.
Having said this, I re-iterate, DO NOT DO THIS!!! YOU WILL TEAR YOUR CAR APART! a public road car IS NOT built to handle this sort of shifting technique.
BTW, this is called a double clutch because if you shift fast enough, you never fully enguage the clutch, so in effect you are enguaging it twice or more per shift as you 'float' the pedal up and down to keep the RPMS up.
PLEASE PLEASE DONT TRY THIS... I dont want to hear any 'Countour Trannie died when double clutching' topics, ok?