Giuseppe Peano

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Peano, Giuseppe

 

Born Aug. 27, 1858, in Cuneo; died Apr. 20, 1932, in Turin. Italian mathematician.

Peano became a professor at the University of Turin in 1890. His interests included the formal logical foundations of mathematics and also the basic concepts and facts of analysis—for example, the question of the broadest possible existence conditions for solutions of differential equations and the definition and scope of the concept of a curve. His set of postulates for defining the natural numbers has entered into general use. Peano is also known for an example of a continuous (Jordan) curve that entirely fills a square.

WORKS

Arithmetices principia, nova methodo exposita. Turin, 1889.
Lezioni di analisi infinitesimale, vols. 1–2. Turin, 1893.
References in periodicals archive ?
Giuseppe Peano at the turn of the twentieth century.
Chalmers is not moved by these cases, noting that: "the fact that a statement is not provable from the Peano axioms does not entail that it is not knowable a priori" (261.
Similarly, the Peano and Hilbert curves pass through every point of a finite area.
Pocchiari M, Peano S, Conz A, Eshkol A, Maillard F, Brown P, et al.
Peano is never mentioned for his work on formalization.
By using proper design software the Peano, Hilbert and Koch profile parameters are used to obtain optimal constructions (Barnsley & Demko, 1986).
ZENGER, Cache oblivious matrix multiplication using an element ordering based on a Peano curve, Linear Algebra Appl.
First, despite committing significant resources, the governments could not increase public resources, in part because of continuing demographic growth (Dinavo, 1995; Peano, 1997).
Apart from some methods such, as a cyclic coordinate-wise optimization (Piyavskii 1972) and space-filling Peano curve techniques (Strongin 1992), that reduce the multivariate to the univariate case for a rectangular feasible set, convergent deterministic methods for solving the multivariate unconstrained problem fall into 2 main classes.
Set theory came with the work of Cantor, Peano, and Frege (Strichartz, 1995).
The authors cover objectivism and realism in Frege's philosophy, the Peano axioms, existence, number, realism, arithmetic and necessity and arithmetic and rules, and their three thesis in support of a non-realistic philosophy of mathematics.
Perrizo (2002), "Decision Tree Classification of Spatial Data Streams Using Peano Count Trees," Proceeding of ACM Symposium on Applied Computing, Madrid, Spain, pp.