Some Contributions of Peano to Analysis in the Light of the Work of Belgian Mathematicians

Jean Mawhin ()
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Jean Mawhin: Université Catholique de Louvain-la-Neuve, Institut de recherche en mathématique et physique (IRMP)

Chapter 2 in Giuseppe Peano between Mathematics and Logic, 2011, pp 13-28 from Springer

Abstract: Abstract The period of the main original contributions of Giuseppe Peano (1858–1932) to analysis goes from 1884 till 1900, and his work deals mostly with a critical analysis of the foundations of differential and integral calculus and with the fundamental theory of ordinary differential equations. During this period, the main analysts in Belgium were Louis-Philippe Gilbert (1832–1892) and his successor Charles-Jean de La Vallée Poussin (1866–1962), at the Université Catholique de Louvain, and Paul Mansion (1844–1919) at the Université de Gand. At the Université de Liège, Eugène Catalan (1814–1894) retired in 1884, and his successor was Joseph Neuberg (1840– 1926), an expert in the geometry of the triangle. Analysis at the Université Libre de Bruxelles was still waiting to be awakened by Théophile De Donder (1872–1957)1.

Keywords: Generalize Derivative; Trigonometric Series; Integral Calculus; Scalar Ordinary Differential Equation; Peano Derivative (search for similar items in EconPapers)
Date: 2011
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-88-470-1836-5_2

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DOI: 10.1007/978-88-470-1836-5_2

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