Carlo Miranda

Carlo Miranda
Born	August 15, 1912 Napoli
Died	May 28, 1982 (aged 69) Napoli
Nationality	Italian
Fields	Mathematical analysis Complex analysis Theory of elliptic partial differential equations
Doctoral advisor	Mauro Picone
Known for	Poincaré–Miranda theorem Miranda's theorem Theory of elliptic partial differential equations

Carlo Miranda (15 August 1912 – 28 May 1982) was an Italian mathematician, working mathematical analysis, theory of elliptic partial differential equations and complex analysis: he is known for giving the first proof of the Poincaré–Miranda theorem,^[1] for Miranda's theorem in complex analysis,^[2] and for writing an influential monograph in the theory of elliptic partial differential equations.^[3]

Selected works

Scientific works

• Miranda, Carlo (27 May 1935), "Un nouveau critère de normalité pour les familles de fonctions holomorphes", Comptes rendus hebdomadaires des séances de l'Académie des sciences (in French) 200: 1823, JFM 61.1154.05, Zbl 0011.31102, available at Gallica.
• Miranda, Carlo (1935a), "Sur un nouveau critère de normalité pour les familles de fonctions holomorphes", Bulletin de la Société Mathématique de France (in French) 63: 185–196, JFM 61.1155.01, Zbl 0013.27202, available at NUMDAM.
• Miranda, Carlo (1940), "Un’osservazione su un teorema di Brouwer", Bollettino dell'Unione Matematica Italiana, Serie 2 (in Italian) 3: 5–7, JFM 66.0217.01, MR 0004775, Zbl 0024.02203.
• Miranda, Carlo (1949), Problemi di esistenza in analisi funzionale, Quaderni (in Italian) 3, Pisa: Litografia Tacchi on behalf of Scuola Normale Superiore, p. ii+184, MR 0037461, Zbl 0041.43401.
• 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.
• Miranda, Carlo (1978), Istituzioni di analisi funzionale lineare, Monografie Matematiche (in Italian), Bologna: Unione Matematica Italiana, pp. (Vol. I) VIII+596, (Vol. II) 152, Zbl 0697.46001 (and Zbl 0697.46002 for the second volume).
• Miranda, Carlo (1992), Opere scelte (in Italian and French), Firenze: Edizioni Cremonese (distributed by Unione Matematica Italiana), pp. XXIV+516 (vol. 1), pp. VIII+517–1066 (vol. 2), ISBN 88-7083-719-X. Carlo Miranda's "Selected works": two volumes collecting his most important mathematical papers in their original language and typographical form.

Commemorative, historical, and survey works

• 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.
• Miranda, Carlo (1980–1981), "Federico Cafiero", Rendiconto dell'Accademia delle Scienze Fisiche e Matematiche, Napoli, Serie IV, (in Italian) 47: 9–16, MR 0697874.

See also

• Luigi Amerio
• Schottky's theorem
• Singular integral

Notes

1. (Kulpa 1997, p. 545).
2. (Burckel 1979, p. 426, pp. 436–437, and pp. 456–457).
3. See (Miranda 1955) and its revised and translated second edition (Miranda 1970).

References

Biographical and general 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.
• 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.

Scientific references

• Burckel, Robert B. (1979), An Introduction to Classical Complex Analysis. Vol. 1, Lehrbücher und Monographien aus dem Gebiete der exakten Wissenschaften. Mathematische Reihe, Band 64, Basel–Stuttgart: Birkhäuser Verlag, p. 570, ISBN 3-7643-0989-X, MR 0555733, Zbl 0434.30001.
• Dugundji, James; Granas, Andrzej (2003), Fixed Point Theory, Springer Monographs in Mathematics, New York: Springer-Verlag, pp. xv+690, ISBN 0-387-00173-5, MR 1987179, Zbl 1025.47002
• Kulpa, Wladyslaw (June 1997), "The Poincare-Miranda Theorem", The American Mathematical Monthly 104 (6): 545, doi:10.2307/2975081, JSTOR 2975081, MR 1453657, Zbl 0891.47040.
• Lanconelli, Ermanno; Sbordone, Carlo; Spagnolo, Sergio; Trombetti, Guido (1992), "Introduzione", in Miranda, Carlo, Opere scelte (in Italian), Firenze: Edizioni Cremonese (distributed by Unione Matematica Italiana), pp. XI–XVI (of vol. 1). The "Introduction" to his "Opere scelte" by the members of the UMI scientific commission who edited them.

External links

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