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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.
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s) is the Peano kernel defined by [MATHEMATICAL EXPRESSION NOT REPRODUCIBLE IN ASCII] Thus finally has led to the inequality [MATHEMATICAL EXPRESSION NOT REPRODUCIBLE IN ASCII] for every x [member of] [a, b], where A(x):= [1/12][[integral].
A note on an Ostrowski type inequality * by Liu, Zheng / Tamsui Oxford Journal of Mathematical Sciences
Set theory came with the work of Cantor, Peano, and Frege (Strichartz, 1995).
Computers and mathematical philosophies in educational trends by Khadivi, M.R. / Journal of Computers in Mathematics and Science Teaching
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.
Arithmetic and ontology; a non-realist philosophy of arithmetic by SciTech Book News
 
 
 
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