Carlo Miranda
{{Short description|Italian mathematician (1912–1982)}}
{{Infobox scientist
| honorific_prefix =
| name = Carlo Miranda
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| birth_date ={{birth date|1912|8|15|df=y}}
| birth_place =Naples
| death_date ={{death date and age|1982|5|28|1912|8|15|df=y}}
| death_place =Naples
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| nationality = Italian
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| doctoral_advisor =Mauro Picone
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Carlo Miranda (15 August 1912 – 28 May 1982) was an Italian mathematician, working on mathematical analysis, theory of elliptic partial differential equations and complex analysis: he is known for giving the first proof of the Poincaré–Miranda theorem,{{harv|Kulpa|1997|p=545}}. for Miranda's theorem in complex analysis,{{Harv|Burckel|1979|loc=p. 426, pp. 436–437, and pp. 456–457}}. and for writing an influential monograph in the theory of elliptic partial differential equations.See {{harv|Miranda|1955}} and its revised and translated second edition {{harv|Miranda|1970}}.
Selected works
=Scientific works=
==Articles==
- {{Citation
|last = Miranda
|first = Carlo
|author-link =
|title = Un nouveau critère de normalité pour les familles de fonctions holomorphes
|trans-title=A new normality criterion for families of holomorphic functions
|language = French
|journal = Comptes rendus hebdomadaires des séances de l'Académie des sciences
|volume = 200
|date = 27 May 1935
|page = 1823
|url =http://gallica.bnf.fr/ark:/12148/bpt6k3152t/f1823
|issn=0001-4036
|jfm=61.1154.05
|zbl=0011.31102
}}, available at Gallica.
- {{Citation
|last = Miranda
|first = Carlo
|author-link =
|title =Sur un nouveau critère de normalité pour les familles de fonctions holomorphes
|trans-title=On a new normality criterion for families of holomorphic functions
|journal = Bulletin de la Société Mathématique de France
|volume = 63
|pages = 185–196
|year = 1935a
|language = French
|doi = 10.24033/bsmf.1231
|id =
|issn=0037-9484
|jfm=61.1155.01
|zbl=0013.27202
|doi-access = free
}}, available at [http://www.numdam.org NUMDAM].
- {{Citation
|last = Miranda
|first = Carlo
|author-link=
|title = Un'osservazione su un teorema di Brouwer
|trans-title=An observation on a theorem of Brouwer
|language = Italian
|journal = Bollettino dell'Unione Matematica Italiana
|series =Serie 2
|volume = 3
|pages =5–7
|year =1940
|url =
|jfm=66.0217.01
|issn=0041-7084
|mr =0004775
|zbl = 0024.02203
}}.
==Books==
- {{Citation
|last = Miranda
|first = Carlo
|author-link =
|title =Problemi di esistenza in analisi funzionale
|trans-title=Existence problems in functional analysis
|language = Italian
|place = Pisa
|publisher = Litografia Tacchi on behalf of Scuola Normale Superiore
|year = 1949
|series = Quaderni
|volume =3
|page = ii+184
|mr =0037461
|zbl =0041.43401
}}.
- {{Citation
|last = Miranda
|first = Carlo
|author-link = Carlo Miranda
|title = Equazioni alle derivate parziali di tipo ellittico
|place = Berlin – Göttingen – New York
|publisher = Springer Verlag
|series = Ergebnisse der Mathematik und ihrer Grenzgebiete – Neue Folge
|volume = Heft 2
|year = 1955
|edition = 1st
|pages = VIII+222
|language = Italian
|url =
|doi =
|id =
|isbn =
|mr = 0087853
|zbl = 0065.08503
}}.
- {{Citation
|last = Miranda
|first = Carlo
|author-link = Carlo Miranda
|translator-last=Motteler
|translator-first=Zane C.
|title = Partial Differential Equations of Elliptic Type
|place = Berlin – Heidelberg – New York
|publisher = Springer Verlag
|series = Ergebnisse der Mathematik und ihrer Grenzgebiete – 2 Folge
|volume = Band 2
|orig-date = 1955
|year = 1970
|edition = 2nd Revised
|pages = XII+370
|url =
|doi =10.1007/978-3-642-87773-5
|id =
|isbn = 978-3-540-04804-6
|mr = 0284700
|zbl = 0198.14101
}}.
- {{Citation
|last = Miranda
|first = Carlo
|author-link =
|title =Su alcuni problemi di geometria differenziale in grande per gli ovaloidi
|trans-title=On some problems of differential geometry in the large concerning ovaloids
|language = Italian
|place = Pisa
|publisher = Edizioni della Normale
|year = 1972
|series = Quaderni
|volume =
|page = ii+123
|mr=0467615
|zbl=0338.53044
}}.
- {{Citation
|last = Miranda
|first = Carlo
|author-link =
|title = Istituzioni di analisi funzionale lineare
|trans-title=Foundations of linear functional analysis
|place = Bologna
|publisher = Unione Matematica Italiana
|year = 1978
|language = Italian
|series = Monografie Matematiche
|pages = (Vol. I) VIII+596, (Vol. II) 152
|url =
|isbn =
|mr =
|zbl = 0697.46001}} (and {{Zbl|0697.46002}} for the second volume).
- {{citation
|last=Miranda
|first=Carlo
|title =Opere scelte
|trans-title=Selected works
|publisher = Edizioni Cremonese (distributed by Unione Matematica Italiana)
|place = Firenze
|year = 1992
|pages = XXIV+516 (vol. 1), pp. VIII+517–1066 (vol. 2)
|language = Italian, French
|url =
|isbn =88-7083-719-X
}}: two volumes collecting his most important mathematical papers in their original language and typographical form, and a full list of Miranda's publications.
=Commemorative, historical, and survey works=
- {{Citation
|last = Miranda
|first = Carlo
|author-link=Carlo Miranda
|title = Risultati concernenti la risoluzione delle equazioni funzionali lineari dovuti all'Istituto Nazionale per le Applicazioni del Calcolo
|trans-title=Results regarding the solution of linear functional equations due to the National Institute for Calculus Applications
|journal = Rendiconti di Matematica e delle sue Applicazioni
|language = Italian
|series = 5
|issue=3–4
|volume = 9
|pages = 346–353
|date = July–December 1950
|issn=0034-4427
|mr=0041759
|zbl=0040.35304
}}. This work completes a survey of {{harvtxt|Fichera|1950}} with the same title, by elucidating the role of some scientists and adding a further bibliography.
- {{Citation
|last = Miranda
|first = Carlo
|author-link =
|title = Breve storia e prospettive future dell'istituto di matematica della facolta di scienze dell'universita di Napoli
|trans-title= Brief history and future perspectives of the institute of mathematics of the faculty of science of the University of Naples
|year = 1978
|journal = Rendiconto dell'Accademia delle Scienze Fisiche e Matematiche, Napoli
|series = Serie IV
|language = Italian
|volume = 44 |issue = 1977
|pages = 7–44
|issn=0370-3568
|mr =0497758
|zbl=0384.01020
}}.
- {{Citation
|last = Miranda
|first = Carlo
|author-link =
|title = Federico Cafiero
|year = 1980–1981
|journal = Rendiconto dell'Accademia delle Scienze Fisiche e Matematiche, Napoli
|series = Serie IV
|language = Italian
|volume = 48
|pages = 9–16
|issn=0370-3568
|mr = 0697874
|zbl=0512.01007
}}.
See also
Notes
{{Reflist|30em}}
References
{{refbegin}}
=Biographical references=
- {{Citation
|author = Accademia Nazionale dei Lincei
|author-link = Accademia Nazionale dei Lincei
|title = Annuario dell'Accademia Nazionale dei Lincei 2012 – CDX dalla Sua Fondazione
|place = Roma
|publisher = Accademia Nazionale dei Lincei
|year = 2012
|edition =
|pages = 734
|language = Italian
|url = http://www.lincei.it/files/doc/ANL_Annuario_2012.pdf
|doi =
|id =
|isbn =
|access-date = 2016-04-17
|archive-url = https://web.archive.org/web/20160304082043/http://www.lincei.it/files/doc/ANL_Annuario_2012.pdf
|archive-date = 2016-03-04
|url-status = dead
}}. 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.
- {{Citation
|last =Accademia Pontaniana
|author-link =Accademia Pontaniana
|title =Annuario della Accademia Pontaniana 2015 (DLXXIII dalla fondazione)
|place =Napoli
|publisher =Nella Sede dell'Accademia
|year =2015
|pages =180
|language =Italian
|url =http://www.accademiapontaniana.it/AnnuarioAccademiaNA.pdf
|access-date =2016-03-28
|archive-url =https://web.archive.org/web/20150306032359/http://www.accademiapontaniana.it/AnnuarioAccademiaNA.pdf
|archive-date =2015-03-06
|url-status =dead
}}. 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.
- {{Citation
|last =Greco
|first =Donato
|author-link =Donato Greco
|editor-last =Greco
|editor-first =Donato
|editor-link =Donato Greco
|contribution =Intervento di Donato Greco all'apertura del Convegno
|contribution-url =
|title =Methods of Functional Analysis and Theory of Elliptic Equations. Proceedings of the international meeting dedicated to the memory of professor Carlo Miranda. Naples, September 13–16, 1982
|place =Napoli
|publisher =Istituto di Matematica "R. Caccioppoli" dell'Università di Napoli – Liguori Editore
|year =1983
|pages =9–10
|language =Italian
|isbn =
|mr =0819004
|zbl =0583.00017
}}
- {{Citation
|last =Ciliberto
|first =Carlo
|author-link =Carlo Ciliberto
|editor-last =Greco
|editor-first =Donato
|editor-link =Donato Greco
|contribution =Intervento di Carlo ciliberto, Rettore dell'Università di Napoli
|contribution-url =
|title =Methods of Functional Analysis and Theory of Elliptic Equations. Proceedings of the international meeting dedicated to the memory of professor Carlo Miranda. Naples, September 13–16, 1982
|place =Napoli
|publisher =Istituto di Matematica "R. Caccioppoli" dell'Università di Napoli – Liguori Editore
|year =1983
|pages =11–14
|language =Italian
|isbn =
|mr =0819004
|zbl =0583.00017
}}
- {{Citation
|last =Scorza Dragoni
|first =Giuseppe
|author-link =Giuseppe Scorza Dragoni
|editor-last =Greco
|editor-first =Donato
|editor-link =Donato Greco
|contribution =Intervento di Giuseppe Scorza Dragoni
|contribution-url =
|title =Methods of Functional Analysis and Theory of Elliptic Equations. Proceedings of the international meeting dedicated to the memory of professor Carlo Miranda. Naples, September 13–16, 1982
|place =Napoli
|publisher =Istituto di Matematica "R. Caccioppoli" dell'Università di Napoli – Liguori Editore
|year =1983
|pages =15–17
|language =Italian
|isbn =
|mr =0819004
|zbl =0583.00017
}}.
- {{Citation
|last =Scorza Dragoni
|first =Giuseppe
|author-link =Giuseppe Scorza Dragoni
|trans-title=Recollection of Carlo Miranda
|title = Ricordo di Carlo Miranda
|place = Roma
|journal = Rendiconti della Accademia Nazionale delle Scienze Detta dei XL. Memorie di Matematica e Applicazioni, Serie V
|volume = VIII
|issue = 13
|year = 1984
|pages =275–278
|issn =0392-4106
|mr =0774923
|zbl=0556.01017
}}. An almost identical transcription of the commemoration {{harv|Scorza Dragoni|1983}}, published on the journal of the Academia for the wish of Givanni Battista Marini Bettolo to honor Carlo Miranda for his important work for the journal itself.
- {{Citation
|last =Società Nazionale di Scienze Lettere e Arti in Napoli
|author-link =Società Nazionale di Scienze Lettere e Arti in Napoli
|title =Annuario della Società Nazionale di Scienze Lettere e Arti in Napoli – 2014
|place =Napoli
|publisher =Società Nazionale di Scienze Lettere e Arti in Napoli
|year =2014
|pages =82
|language =Italian
|url =http://www.societanazionalescienzeletterearti.it/pdf/annuario2014.pdf
|access-date =2016-03-28
|archive-url =https://web.archive.org/web/20160303215743/http://www.societanazionalescienzeletterearti.it/pdf/annuario2014.pdf
|archive-date =2016-03-03
|url-status =dead
}}. 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=
- {{Citation
|last =Avantaggiati
|first =Antonio
|title =Carlo Miranda
|language = Italian
|journal = Bollettino dell'Unione Matematica Italiana
|series =Serie IV, A
|volume = 11
|issue = 1
|pages = 137–153
|year =1985
|url =
|issn=0392-4033
|mr =0781807
|zbl =0556.01016
}}: includes a list of Miranda's publications.
- {{Citation
|last =Cecconi
|first =Jaurés Pacifico
|author-link =Jaurés Cecconi
|title = Carlo Miranda
|language = Italian
|journal = Atti della Accademia Ligure di Scienze e Lettere
|series = Serie V
|volume = XL
|pages = 45–48
|year =1984
|issn=0365-0278
|mr =0825356
}}.
- {{Citation
|last =Geymonat
|first =Giuseppe
|author-link =Giuseppe Geymonat
|title =Carlo Miranda
|journal =Atti della Accademia delle Scienze di Torino – Classe di Scienze Fisiche, Matematiche e Naturali
|volume = 119
|issue=5–6
|pages =292–295
|year =1985
|language =Italian
|issn=0001-4419
|mr =0929908
|zbl =1200.01014
}}.
- {{Citation
|first=Donato
|last =Greco
|author-link =Donato Greco
|title =Carlo Miranda
|place =Napoli
|publisher =Società Nazionale di Scienze Lettere e Arti in Napoli
|year =1985
|series =Profili e Ricordi
|volume =12
|pages =31
|language = Italian
|url =
|doi =
|id =
|isbn =
}}: includes a list of Miranda's publications.
- {{Citation
|last =Magenes
|first = Enrico
|author-link=Enrico Magenes
|title = Carlo Miranda
|language = Italian
|journal = Annali di Matematica Pura ed Applicata
|series = Serie IV
|volume = 27
|issue = 1–2
|pages = I–III
|year = 1983
|doi = 10.1007/BF01781059
|issn=0373-3114
|mr =0750524
|zbl =0536.01031
|s2cid = 186222655
|doi-access = free
}}.
=Scientific references=
- {{Citation
|last = Burckel
|first = Robert B.
|author-link =
|title = An Introduction to Classical Complex Analysis. Vol. 1
|place = Basel–Stuttgart
|publisher = Birkhäuser Verlag
|series = Lehrbücher und Monographien aus dem Gebiete der exakten Wissenschaften. Mathematische Reihe
|volume = Band 64
|year = 1979
|edition =
|pages = 570
|url = https://books.google.com/books?id=beSXZhrfDngC
|doi =
|id =
|isbn = 3-7643-0989-X
|mr = 0555733
|zbl = 0434.30001
}}.
- {{Citation
|last1 = Cimmino
|first1 =Gianfranco
|author-link =Gianfranco Cimmino
|last2 =Scorza Dragoni
|first2 =Giuseppe
|author2-link =Giuseppe Scorza Dragoni
|title = L'opera Matematica di Carlo Miranda
|trans-title=The mathematical work of Carlo Miranda
|language = Italian
|journal = Atti della Accademia Nazionale dei Lincei. Rendiconti. Classe di Scienze Fisiche, Matematiche e Naturali
|series = Series VIII
|volume = LXXVI
|issue = 2
|pages = 145–157
|year = 1984
|url=http://www.bdim.eu/item?id=RLIN_1984_8_76_2_145_0
|issn=0392-7881
|mr =0814350
}}: includes a list of Miranda's publications.
- {{citation
|last1 = Dugundji
|first1=James
|author-link=James Dugundji
|last2=Granas
|first2= Andrzej
|author2-link=Andrzej Granas
|title = Fixed Point Theory
|place=New York
|publisher = Springer-Verlag
|series =Springer Monographs in Mathematics
|year = 2003
|pages = xv+690
|isbn = 0-387-00173-5
|mr=1987179
|zbl=1025.47002
|doi=10.1007/978-0-387-21593-8
}}.
- {{Citation
|last = Fichera
|first = Gaetano
|author-link =Gaetano Fichera
|title = Risultati concernenti la risoluzione delle equazioni funzionali lineari dovuti all'Istituto Nazionale per le applicazioni del calcolo
|trans-title=Results concerning the solutions of linear functional equations due to the National Institute for Calculus Applications
|journal = Atti della Accademia Nazionale dei Lincei. Memorie. Classe di Scienze Fisiche, Matematiche e Naturali
|language = Italian
|series = Serie VIII
|volume = 3
|issue = 1
|pages = 1–81
|year = 1950
|issn=0365-0286
|mr = 0036409
|zbl = 0066.09902
}}. An ample survey paper on results on the solutions of linear integral and partial differential equation obtained by the research team of Mauro Picone at the Istituto Nazionale per le Applicazioni del Calcolo, by using methods from functional analysis.
- {{citation
|last=Kulpa
|first=Wladyslaw
|title=The Poincare-Miranda Theorem
|journal=The American Mathematical Monthly
|date=June 1997
|volume=104
|issue=6
|pages=545–550
|jstor=2975081
|doi=10.2307/2975081
|mr=1453657
|zbl=0891.47040
}}.
- {{citation
|last1=Lanconelli
|first1=Ermanno
|author-link=
|last2=Sbordone
|first2=Carlo
|author2-link=Carlo Sbordone
|last3=Spagnolo
|first3=Sergio
|author3-link=
|last4=Trombetti
|first4=Guido
|author4-link=
|editor-last=Miranda
|editor-first=Carlo
|contribution=Introduzione
|contribution-url=
|title =Opere scelte
|publisher = Edizioni Cremonese (distributed by Unione Matematica Italiana)
|place = Firenze
|year = 1992
|pages = XI–XVI (of vol. 1)
|language = Italian
|url =
|isbn =
}}. The "Introduction" to his "Selected works" by the members of the UMI scientific commission who edited them.
=Publications dedicated to his memory=
- {{Citation
|editor-last =Greco
|editor-first =Donato
|editor-link =Donato Greco
|title =Methods of Functional Analysis and Theory of Elliptic Equations. Proceedings of the international meeting dedicated to the memory of professor Carlo Miranda. Naples, September 13–16, 1982
|place =Napoli
|publisher =Istituto di Matematica "R. Caccioppoli" dell'Università di Napoli – Liguori Editore
|year =1983
|pages =362
|language =English, French, Italian
|isbn =
|mr =0819004
|zbl =0583.00017
}}
{{refend}}
External links
- {{MacTutor| id=Miranda | title=Carlo Miranda| date= July 2012}}
{{Authority control}}
{{DEFAULTSORT:Miranda, Carlo}}
Category:20th-century Italian mathematicians
Category:University of Naples Federico II alumni
Category:Academic staff of the University of Genoa
Category:Academic staff of the Polytechnic University of Turin
Category:Academic staff of the University of Naples Federico II
Category:Members of the Lincean Academy
Category:Italian mathematical analysts