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

In: Giuseppe Peano between Mathematics and Logic

Author

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  • Jean Mawhin

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

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.

Suggested Citation

  • Jean Mawhin, 2011. "Some Contributions of Peano to Analysis in the Light of the Work of Belgian Mathematicians," Springer Books, in: Fulvia Skof (ed.), Giuseppe Peano between Mathematics and Logic, chapter 2, pages 13-28, Springer.
    • Handle: RePEc:spr:sprchp:978-88-470-1836-5_2
    DOI: 10.1007/978-88-470-1836-5_2
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