Gianfranco Cimmino

Gianfranco Cimmino
Born	12 March 1908 Napoli
Died	30 May 1989 (aged 81) Bologna
Nationality	Italian
Fields	Mathematical analysis Numerical analysis Theory of elliptic partial differential equations
Institutions	University of Naples Federico II Istituto Nazionale di Alta Matematica Francesco Severi University of Bologna
Alma mater	University of Naples Federico II
Doctoral advisor	Mauro Picone
Doctoral students	Bruno Pini
Known for	Distribution theory Numerical solution of linear systems of equations Theory of elliptic partial differential equations Weak formulation of boundary values

Gianfranco Cimmino (12 March 1908 – 30 May 1989) was an Italian mathematician, working mathematical analysis, numerical analysis, and theory of elliptic partial differential equations: he is known for being the first mathematician generalizing in a weak sense the notion of boundary value in a boundary value problem,^[1][2] and for doing an influential work in numerical analysis.^[3]

Selected works

Scientific works

• Cimmino, Gianfranco (1938), "Calcolo approssimato per le soluzioni dei sistemi di equazioni lineari", La ricerca scientifica ed il progresso tecnico nell'economia nazionale, Serie II, (in Italian), 1: 326–333, MR 0497758, Zbl 0384.01020.
• Cimmino, Gianfranco (2002), Sbordone, Carlo; Trombetti, Guido, eds., Opere scelte, Memorie (in Italian), 10, Napoli: Giannini Editore, pp. XV+670. Gianfranco Cimmino's "Selected works", edited under the auspices of the Accademia Pontaniana and of the Academy of Physical and Mathematical Sciences of the Società Nazionale di Scienze Lettere e Arti in Napoli.

See also

• Luigi Amerio
• Distribution (mathematics)
• Hyperfunction

Notes

1. (Pini 1991, p. 120), (Scorza Dragoni 1991, pp. 63–64) and (Sbordone 2008, p. 8).
2. See also (Miranda 1955) and its revised and translated second edition (Miranda 1970).
3. (Benzi 2005).

References

Biographical references

• Accademia Nazionale dei Lincei (2012), Annuario dell'Accademia Nazionale dei Lincei 2012 – CDX dalla Sua Fondazione (PDF) (in Italian), Roma: Accademia Nazionale dei Lincei, p. 734. The "Yearbook" of the renowned Italian scientific institution, including an historical sketch of its history, the list of all past and present members as well as a wealth of informations about its academic and scientific activities.
• Accademia Pontaniana (2015), Annuario della Accademia Pontaniana 2015 (DLXXIII dalla fondazione) (PDF) (in Italian), Napoli: Nella Sede dell'Accademia, p. 180. The "Yearbook 2015" of the Accademia Pontaniana, published by the Academy itself and describing its past and present hierarchies and its activities. It also gives some notes on its history, the full list of its members and other useful information.
• Barbieri, Francesco; Taddei, Ferdinando (2006), L’Accademia di Scienze, Lettere e Arti di Modena dalle origini (1683) al 2005. Tomo I – La storia e i soci (PDF) (in Italian), Modena: Mucchi Editore, p. 359, ISBN 88-7000-419-8. The first part ("Tomo") of an extensive work on the "Accademia di Scienze, Lettere e Arti di Modena", reporting the history of the academy and biographies of members up to the year 2006.
• Miranda, Carlo (1978), "Breve storia e prospettive future dell'istituto di matematica della facolta di scienze dell'universita di Napoli", Rendiconto dell'Accademia delle Scienze Fisiche e Matematiche, Napoli, Serie IV, (in Italian), 44 (1977): 7–44, MR 0497758, Zbl 0384.01020.
• Roghi, G. (December 2005), "Materiale per una storia dell'Istituto Nazionale di Alta Matematica dal 1939 to 2003.", Bollettino dell'Unione Matematica Italiana, Sezione A, La Matematica nella Società e nella Cultura, Serie VIII (in Italian), 8–A (3, parte 2): x+301, MR 2225078, Zbl 1089.01500. This is a monographic fascicle published on the "Bollettino dell'Unione Matematica Italiana", describing the history of the Istituto Nazionale di Alta Matematica Francesco Severi from its foundation in 1939 to 2003: an English translation of the title reads as:-"Materials toward a history of the Istituto Nazionale di Alta Matematica from 1939 to 2003". It was written by Gino Roghi and includes a presentation by Salvatore Coen and a preface by Corrado De Concini. It is almost exclusively based on sources from the institute archives: the wealth and variety of materials included, jointly with its appendices and indexes, make this monograph a useful reference not only for the history of the institute itself, but also for the history of many mathematicians who taught or followed the institute courses or simply worked there.
• Sbordone, Carlo; Trombetti, Guido (2002), Introduzione (in Italian), p. IX of the book (Cimmino 2002). The short "Introduction" to Cimmino's selected works by its editors: it includes also a few biographical data.
• Società Nazionale di Scienze Lettere e Arti in Napoli (2014), Annuario della Società Nazionale di Scienze Lettere e Arti in Napoli – 2014 (PDF) (in Italian), Napoli: Società Nazionale di Scienze Lettere e Arti in Napoli, p. 82. The "Yearbook 2014" of the Società Nazionale di Scienze Lettere e Arti in Napoli, published by the society itself and describing its past and present hierarchies, and its activities. It also reports some notes on its history, the full list of its members and other useful information.

General references

• Pini, Bruno (1991), "Gianfranco Cimmino", Bollettino dell'Unione Matematica Italiana, Sezione A, Serie VII, (in Italian), 18 (2): 117–123, MR 1101018, Zbl 0719.01021.
• Sbordone, Carlo (2008), "Commemorazione di Gianfranco Cimmino (1908–1989) nel centenario della nascita" [Commemoration of Gianfranco Cimmino (1908–1989) on the centenary of his birth] (PDF), Atti della Accademia Pontaniana, Nuova Serie, (in Italian), LVII: 7–16, ISSN 1121-9238.
• Scorza Dragoni, Giuseppe (1991), "Gianfranco Cimmino (12 marzo 1908 – 30 maggio 1989)", Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Supplemento, Serie IX, 2 (1): 9–14, MR 1179475, Zbl 0752.01026.

Scientific references

• Benzi, Michele (2005), "Gianfranco Cimmino's Contributions to Numerical Mathematics", in Pini, Bruno, Atti del Seminario di Analisi Matematica, Dipartimento di Matematica dell'Università di Bologna. Volume Speciale: Ciclo di Conferenze in Memoria di Gianfranco Cimmino, Marzo-Aprile 2004, Bologna: Tecnoprint, pp. 87–109. See here for a preprint version of the original paper downloadable from the author's academic home page.
• Caraman, Petru (1974) [1968], n–Dimensional Quasiconformal (QCf) Mappings (revised ed.), Bucureşti / Tunbridge Wells, Kent: Editura Academiei / Abacus Press, p. 553, ISBN 0-85626-005-3, MR 0357782, Zbl 0342.30015.
• Magenes, Enrico (2002), "Ricordo di Gianfranco Cimmino", in Cimmino, Gianfranco, Opere scelte, Memorie (in Italian), 10, Napoli: Giannini Editore, pp. XI–XV.
• Miranda, Carlo (1955), Equazioni alle derivate parziali di tipo ellittico, Ergebnisse der Mathematik und ihrer Grenzgebiete – Neue Folge (in Italian), Heft 2 (1st ed.), Berlin – Göttingen – New York: Springer Verlag, pp. VIII+222, MR 0087853, Zbl 0065.08503.
• Miranda, Carlo (1970) [1955], Partial Differential Equations of Elliptic Type, Ergebnisse der Mathematik und ihrer Grenzgebiete – 2 Folge, Band 2, translated by Motteler, Zane C. (2nd Revised ed.), Berlin – Heidelberg – New York: Springer Verlag, pp. XII+370, ISBN 978-3-540-04804-6, MR 0284700, Zbl 0198.14101.

External links

• O'Connor, John J.; Robertson, Edmund F. (July 2012), "Gianfranco Cimmino", MacTutor History of Mathematics archive, University of St Andrews.