Long before "punk rock" meant anything beyond the Jets and the Sharks:
- Johnny Mathis looked at applications of probability ("Chances Are", 1957);
- The Kingston Trio examined the connection between tax policy and Hamiltonian circuits ("M.T.A.", 1959);
- The Marcels analyzed low frequency events ("Blue Moon", 1961, remaking a song written in 1934!);
- Martha and the Vandellas warned us about global warming ("Heat Wave", 1963);
- Herman's Hermits warned us about violating capacity constraints ("Dandy", 1966: "Two girls are too many, three's a crowd and four you're dead!");
- Dionne Warwick discussed route-finding problems ("Do You Know the Way to San Jose", 1968).
Update: Since Marc-André Carle brought up geometry, I feel obligated to point out that geometry begins with basic shapes: