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Giuseppe Peano

Giuseppe Peano
Giuseppe Peano.jpg
Born (1858-08-27)27 August 1858
Spinetta, Piedmont, Kingdom of Sardinia
Died 20 April 1932(1932-04-20) (aged 73)
Turin, Italy
Residence Italy
Citizenship Italian
Fields Mathematics
Institutions University of Turin, Accademia dei Lincei
Alma mater University of Turin
Doctoral advisor Enrico D'Ovidio
Other academic advisors Francesco Faà di Bruno
Known for Peano axioms
Peano curve
Peano existence theorem
Formulario mathematico
Latino Sine Flexione
Vector space
Influences Euclid, Angelo Genocchi, Gottlob Frege
Influenced Bertrand Russell, Giovanni Vailati
Notable awards 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

Giuseppe Peano (Italian: [dʒuˈzɛppe peˈaːno]; 27 August 1858 – 20 April 1932) was an Italian mathematician. 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.

Peano was born and raised on a farm at Spinetta, a hamlet now belonging to Cuneo, Piedmont, Italy. He attended the Liceo classico Cavour in Turin, and enrolled at the University of Turin in 1876, graduating in 1880 with high honors, after which the University employed him to assist first Enrico D'Ovidio, and then Angelo Genocchi, the Chair of calculus. Due to Genocchi's poor health, Peano took over the teaching of calculus course within 2 years. His first major work, a textbook on calculus, was published in 1884 and was credited to Genocchi. A few years later, Peano published his first book dealing with mathematical logic. Here the modern symbols for the union and intersection of sets appeared for the first time.

In 1887, Peano married Carola Crosio, the daughter of the Turin-based painter Luigi Crosio, known for painting the Refugium Peccatorum Madonna. In 1886, he began teaching concurrently at the Royal Military Academy, and was promoted to Professor First Class in 1889. The next year, the University of Turin also granted him his full professorship. Peano's famous space-filling curve appeared in 1890 as a counterexample. He used it to show that a continuous curve cannot always be enclosed in an arbitrarily small region. This was an early example of what came to be known as a fractal.


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