Torrance is dad of Europe's 2002-winning Ryder Cup captain Sam, but became just as well known for his coaching ability.
He was key in helping Ireland's Padraig Harrington - pictured aboved giving some advice to Luke Donald at the 2004 Ryder Cup - win back-to-back Open titles in 2007 and 2008.
Harrington described the Scotsman as the best swing coach in the world.
He had been battling cancer.
"Sad day - my dad just passed away peacefully in his sleep," tweeted his son Sam.
- Sports & Recreation
- Padraig Harrington
- Luke Donald