In addition to some ascetical writings, the composition of some sacred melodies, and the invention of some scientific apparatus, Faà di Bruno made numerous and important contributions to mathematics. Today, he is best known for Faà di Bruno's formula on derivatives of composite functions although it is now certain Louis François Antoine Arbogast had priority for its discovery and use. Faà di Bruno should be credited only for the formula's determinant form. However, his work is mainly related to elimination theory and to the theory of elliptic functions.