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Giuseppe Peano

Giuseppe Peano (/piˈɑːnoʊ/;[1] Italian: [dʒuˈzɛppe peˈaːno]; 27 August 1858 – 20 April 1932) was an Italian mathematician and glottologist. The author of over 200 books and papers, he was a founder of mathematical logic and set theory, to which he contributed much notation. The standard axiomatization of the natural numbers is named the Peano axioms in his honor. As part of this effort, he made key contributions to the modern rigorous and systematic treatment of the method of mathematical induction. He spent most of his career teaching mathematics at the University of Turin. He also wrote an international auxiliary language, Latino sine flexione ("Latin without inflections"), which is a simplified version of Classical Latin. Most of his books and papers are in Latino sine flexione, while others are in Italian.

Giuseppe Peano

(1858-08-27)27 August 1858

Spinetta, Piedmont, Kingdom of Sardinia

20 April 1932(1932-04-20) (aged 73)

Turin, Italy

Italian

University of Turin

Peano axioms
Peano curve
Peano existence theorem
Peano-Jordan measure
Peano kernel theorem
Peano–Russell notation
Latino sine flexione
Vector space
Peano surface
Logicism

Knight of the Order of Saints Maurizio and Lazzaro
Knight of the Crown of Italy
Commendatore of the Crown of Italy
Correspondent of the Accademia dei Lincei

Mathematics
Linguistics

University of Turin, Accademia dei Lincei

Enrico D'Ovidio

Francesco Faà di Bruno

Maria Gramegna

1881: Published first paper.

1884: Calcolo Differenziale e Principii di Calcolo Integrale.

[11]

1887: Applicazioni Geometriche del Calcolo Infinitesimale.

[12]

1889: Appointed Professor First Class at the Royal Military Academy.

1889: Arithmetices principia: nova methodo exposita.

[13]

1890: Appointed Extraordinary Professor of at the University of Turin.

infinitesimal calculus

1891: Made a member of the Academy of Science, Torino.

1893: Lezioni di Analisi Infinitesimale, 2 vols.

[14]

1895: Promoted to Ordinary Professor.

1901: Made Knight of the .

Order of Saints Maurizio and Lazzaro

1903: Announces .

Latino sine flexione

1905: Made Knight of the . Elected a corresponding member of the Accademia dei Lincei in Rome, the highest Italian honour for scientists.

Order of the Crown of Italy

1908: Fifth and final edition of the .

Formulario mathematico

1917: Made an Officer of the Crown of Italy.

1921: Promoted to Commendatore of the Crown of Italy.

1889. "The principles of arithmetic, presented by a new method" in , 1967. A Source Book in Mathematical Logic, 1879–1931. Harvard Univ. Press: 83–97.

Jean van Heijenoort

1973. Selected works of Giuseppe Peano. Kennedy, Hubert C., ed. and transl. With a biographical sketch and bibliography. London: Allen & Unwin.

Arithmetices principia, nova methodo exposita

Foundations of geometry

Gillies, Douglas A., 1982. Frege, Dedekind, and Peano on the foundations of arithmetic. Assen, Netherlands: Van Gorcum.

2000. The Search for Mathematical Roots 1870–1940. Princeton University Press.

Ivor Grattan-Guinness

Segre, Michael, 1994. "Peano's Axioms in their Historical Context," Archive for History of Exact Sciences 48, pp. 201–342.

Ferreirós, José, 2005. "R. Dedekind, Was Sind und Was Sollen die Zahlen? (1888), G. Peano, Arithmetics Principia, Nova Methodo Exposita (1889)". Pag. 613–626 of Landmark Writings in Western Mathematics 1640–1940, ed. I. Grattan-Guinness. Amsterdam, Elsevier, 2005.  0444508716

ISBN

at Project Gutenberg

Works by Giuseppe Peano

at Internet Archive

Works by or about Giuseppe Peano

O'Connor, John J.; , "Giuseppe Peano", MacTutor History of Mathematics Archive, University of St Andrews

Robertson, Edmund F.

at the Mathematics Genealogy Project

Giuseppe Peano

(2002). "Twelve articles on Giuseppe Peano" (PDF). San Francisco: Peremptory Publications. Retrieved 8 April 2012. Collection of articles on life and mathematics of Peano (1960s to 1980s).

Kennedy, Hubert

Instituto Pro Latino Sine Flexione