Leonida Tonelli


Leonida Tonelli was an Italian mathematician, noted for proving Tonelli's theorem, a variation of Fubini's theorem, and for introducing semicontinuity methods as a common tool for the direct method in the calculus of variations.

Education

Tonelli graduated from the University of Bologna in 1907; his Ph.D. thesis was written under the direction of Cesare Arzelà.

Work

Selected publications

  • Opere scelte, a cura dell'Unione matematica italiana e col contributo del Consiglio nazionale delle ricerche, 1900
  • Fondamenti di Calcolo delle Variazioni. Zanichelli, Bologna, vol. 1: 1922, vol. 2: 1923
  • Serie trigonometriche. Zanichelli, Bologna 1928

    Biographical and general references

  • . The "Yearbook" of the renowned Italian scientific institution includes a historical sketch of its history, the list of all past and present members as well as a wealth of information about its academic and scientific activities.
  • , available from the .
  • . "The work of Leonida Tonelli and his influence on scientific thinking in this century" is an ample commemorative article, reporting recollections of the Author about teachers and colleagues, and a detailed survey of his and their scientific work, presented at the International congress in occasion of the celebration of the centenary of birth of Mauro Picone and Leonida Tonelli.
  • .
  • . "Leonida Tonelli and the Pisa mathematical school" is a survey of the work of Tonelli in Pisa and his influence on the development of the school, presented at the International congress on the occasion of the celebration of the centenary of birth of Mauro Picone and Leonida Tonelli. The Author was one of his pupils and, after his death, held his chair of mathematical analysis at the University of Pisa, becoming dean of the faculty of sciences and then rector: he exerted a strong positive influence on the development of the university.
  • . This paper, included in the Proceedings of the Study Meeting in Memory of Giuseppe Gemignani, is an account of the failures of Vito Volterra, Leonida Tonelli and Francesco Severi, when dealing with particular research problems during their career. An English translation of the title reads as:-"Three battles lost by three great Italian mathematicians".
  • . The brief "participating address" presented to the International congress on the occasion of the celebration of the centenary of the birth of Mauro Picone and Leonida Tonelli by Olga Oleinik on behalf of the Moscow Mathematical Society.
  • . The brief "participating address" presented to the International congress on the occasion of the celebration of the centenary of birth of Mauro Picone and Leonida Tonelli, by Giovanni Battista Rizza on behalf of the University of Parma: the scientific relations between Leonida Tonelli and the Department of Mathematics in Parma are described.
  • . The commemoration of Tullio Levi Civita, Guido Fubini, Leonida Tonelli and Michele De Franchis published on the "Annali di Matematica". Note that the paper is not signed: the Author is disclosed by.
  • . Some recollections about Mauro Picone and Leonida Tonelli, presented by Ian Sneddon as the "participating address" to the International congress on the occasion of the celebration of the centenary of birth of Mauro Picone and Leonida Tonelli on behalf of the Royal Society of London and of the Royal Society of Edinburgh.

    Scientific references

  • . A definitive monograph on integration and measure theory: the treatment of the limiting behavior of the integral of various kinds of sequences of measure-related structures is somewhat conclusive.
  • , translated in English as.
  • . The proceedings of the International congress on the occasion of the celebration of the centenary of birth of Mauro Picone and Leonida Tonelli, held in Rome on May 6–9, 1985, at the Accademia Nazionale dei Lincei.
  • .