Origins of putting: Augusta tournament's historic course (4)
I believe the answer is:
path
'course' is the definition.
(path can mean a route or course)
'origins of putting augusta tournament's historic' is the wordplay.
'origins of' suggests taking the first letters.
The initial letters of 'putting augusta tournaments historic' is 'PATH'.
(Other definitions for path that I've seen before include "Walkway" , "Route, course" , "trail" , "Course of action; track" , "Pedestrian way" .)