Giacomo Candido

Giacomo Candido (10 July 1871, Guagnano – 30 December 1941, Galatina) was an Italian mathematician and historian of mathematics.

Giacomo Candido
Born(1871-07-10)10 July 1871
Died30 December 1941(1941-12-30) (aged 70)
NationalityItalian
Alma materUniversity of Pisa
Known forCandido's identity
Scientific career
FieldsMathematics, History of mathematics

Education and careerEdit

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.[1]

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).[2]

He was an Invited Speaker of the ICM in 1928 in Bologna[3] 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 identityEdit

Candido devised his eponymous identity to prove that

[Fn2+F{n+1}2+F{n+2}2]2 = 2[Fn4+F{n+1}4+F{n+2}4]

where Fn is the nth Fibonacci number.
The identity of Candido is that, for all real numbers x and y,[4][5]

[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.)[4]

Selected publicationsEdit

ReferencesEdit

  1. ^ "Biografia SISM". Archived from the original on 2012-07-17.
  2. ^ Goldstein, Catherine; Schappacher, Norbert; Schwermer, Joachim (2007). The Shaping of Arithmetic after C.F Gauss's Disquisitiones Arithmeticae. p. 438.
  3. ^ Candido, G. "Applicazione delle funzioni Un e Vn di Lucas all'analisi indeterminata." In Atti del Congresso Internazionale dei Matematici: Bologna del 3 al 10 de settembre di 1928, vol. 2, pp. 17–24. 1929.
  4. ^ a b Alsina, Claudi; Nelsen, Roger B. (2007). "On Candido's Identity" (PDF). Mathematics Magazine. 80 (3): 226–228. Archived from the original (PDF) on 2008-07-05.
  5. ^ Koshy, Thomas (2014). "Candido's Identity and the Pell Family". Pell and Pell-Lucas Numbers with Applications. p. 169.

External linksEdit