Giuseppe Peano
| Giuseppe Peano | |
|---|---|
 |
|
| Born |
27 August 1858 Spinetta, Piedmont, Kingdom of Sardinia |
| Died | 20 April 1932 (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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