In spite of his absorbing career Salem's interest in mathematics, which he acquired in his early studies, grew stronger and with time developed into an interest in mathematical research.
Kahit lubhang kaganyak-ganyak ng kanyang karera Salem ng interes sa matematika, na kung saan siya nakuha sa kanyang maagang pag-aaral, mas malakas na lumago at sa oras na binuo sa isang interes sa matematika research.