Giacomo Candido

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.{{cite web|url=http://www.dm.unito.it/sism/m_italiani/biografie/tricomi/candido.html |title=Biografia SISM |url-status=dead |archiveurl=https://web.archive.org/web/20120717035131/http://www.dm.unito.it/sism/m_italiani/biografie/tricomi/candido.html |archivedate=2012-07-17 }}

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).{{cite book|author=Goldstein, Catherine|authorlink=Catherine Goldstein|author2=Schappacher, Norbert|author3=Schwermer, Joachim|authorlink3=Joachim Schwermer|title=The Shaping of Arithmetic after C.F Gauss's Disquisitiones Arithmeticae|year= 2007|page=438|url=https://books.google.com/books?id=IUFTcOsMTysC&pg=PA438}}

He was an Invited Speaker of the ICM in 1928 in BolognaCandido, G. "Applicazione delle funzioni U_n e V_n 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. 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.

{{Main|Candido's identity}}

Candido devised his eponymous identity to prove that

$(F\_n^2\; +F\_\{n+1\}^2\; +F\_\{n+2\}^2\; )^2=\; 2(F\_n^4\; +F\_\{n+1\}^4\; +F\_\{n+2\}^4\; )$

where F_n is the nth Fibonacci number.

The identity of Candido is that, for all real numbers x and y,{{cite journal|author=Alsina, Claudi|author2=Nelsen, Roger B.|title=On Candido's Identity|journal=Mathematics Magazine|volume=80|issue=3|year=2007|pages=226–228|url=http://www.lclark.edu/~mathsci/candido.pdf|url-status=dead|archiveurl=https://web.archive.org/web/20080705235056/http://www.lclark.edu/~mathsci/candido.pdf|archivedate=2008-07-05}}{{cite book|author=Koshy, Thomas|chapter=Candido's Identity and the Pell Family|title=Pell and Pell-Lucas Numbers with Applications|year=2014|page=169|url=https://books.google.com/books?id=j_9MBQAAQBAJ&pg=PA169}}

$(x^2\; +y^2\; +(x+y)^2\; )^2=\; 2(x^4\; +y^4\; +(x+y)^4\; )$

It is easy to prove that the identity holds in any commutative ring.

• [https://babel.hathitrust.org/cgi/pt?id=hvd.32044102938495;view=1up;seq=348 Sulle funzioni U_n , V_n di Lucas] in Periodica matematica, anno XVII, 1901–1902
• {{lang|it|La formola di Waring e sue notevoli applicazioni}}, Tipografia editrice salentina, 1903
• [https://babel.hathitrust.org/cgi/pt?id=hvd.32044102938461;view=1up;seq=317 Su d'un' applicazione delle funzioni U_n , V_n di Lucas] in Periodica matematica, anno XX, 1904–1905
• [https://babel.hathitrust.org/cgi/pt?id=hvd.32044102938453;view=1up;seq=92 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

{{reflist}}

{{authority control}}

{{DEFAULTSORT:Candido, Giacomo}}

Category:1871 births

Category:1941 deaths

Category:19th-century Italian mathematicians

Category:20th-century Italian mathematicians

Category:People from the Province of Lecce