Upset friend has left: brilliant mathematician (7)
I believe the answer is:
laplace
'mathematician' is the definition.
(I know that Laplace is a mathematician)
'upset friend has left brilliant' is the wordplay.
'upset friend has' becomes 'lap' (I can't justify this - if you can you should believe this answer much more).
'left' becomes 'l' (common abbreviation).
'brilliant' becomes 'ace' (ace can informally mean very good).
'lap'+'l'+'ace'='LAPLACE'
Can you help me to learn more?
(Other definitions for laplace that I've seen before include "French astronomer and mathematician" , "French scientist" , "Pierre-Simon -, Fr. mathematician, astronomer" .)