Giacomo Candido

Education and career

In 1897 Candido received his Laurea (teaching degree) from the University of Pisa and started to teach mathematics: first, at the Liceo of Galatina, then at the Liceo of Campobasso and from 1927 at the Liceo of Brindisi.

He was an editor and contributor for the Periodico di Matematica per l'Insegnamento secondario and was one of the founders of the journal La Matematica elementare (an intermediate-level journal for teachers, engineers and students).

He was an Invited Speaker of the ICM in 1928 in Bologna and in 1932 in Zürich. In 1934 he founded the Apulian branch of Mathesis, an Italian association of mathematics teachers.

He is also remembered for his work on the history of mathematics.

Candido's identity

Candido devised his eponymous identity to prove that

[F_n²+F_{n+1}²+F_{n+2}²]² = 2[F_n⁴+F_{n+1}⁴+F_{n+2}⁴]

where F_n is the nth Fibonacci number.
The identity of Candido is that, for all real numbers x and y,

[x²+y²+(x+y)²]² = 2[x⁴+y⁴+(x+y)⁴]. (It is easy to prove that the identity holds in any commutative ring.)

Selected publications

Sulle funzioni U_n , V_n di Lucas in Periodica matematica, anno XVII, 1901–1902

La formola di Waring e sue notevoli applicazioni, Tipografia editrice salentina, 1903

Su d'un' applicazione delle funzioni U_n , V_n di Lucas in Periodica matematica, anno XX, 1904–1905

Le equazioni reciproche in senso generale in Periodico matematica, anno XXI, 1905–1906

Il fondo Palagi-Libri della Biblioteca Moreniana di Firenze, in Atti del II Congresso della Unione Matematica Italiana, ed. Cremonese, 1941

Sulla mancata pubblicazione nel 1826 della celebre memoria di Abel, ed. Marra, Galatina, 1942

Conferenze e discorsi, ed. Marra, Galatina, 1943

Scritti matematici, ed. Marzocco, Firenze, 1948