Carlo Miranda
Carlo Miranda (born August 15, 1912 in Naples , † May 28, 1982 ibid) was an Italian mathematician.
Miranda obtained her diploma (Laurea) from Mauro Picone in Naples in 1931 and was then his assistant there and then in Rome. In 1933 he completed his habilitation and after studying in Paris he was professor in Genoa, Turin (from 1941 as full professor) and from 1943 in Naples, where he rebuilt the Mathematical Institute with Renato Caccioppoli . 1956 to 1968 he was President of the Faculty of Science (Facoltà di Scienze) in Naples. From 1958 to 1964 he was Vice President of the Unione Matematica Italiana (UMI):
Miranda was an analyst and dealt with integral equations and elliptical partial differential equations as well as applications of the calculus of variations and functional analysis in mathematical physics. A higher-dimensional generalization of the intermediate value theorem is known as Miranda's theorem or Poincaré-Miranda's theorem. Poincaré had given this statement without evidence. Miranda then showed that this is equivalent to Brouwer's Fixed Point Theorem . In function theory , the Miranda Theorem is a generalization of the Montel and Schottky theorems . The prerequisite there that a holomorphic function does not take the values 0 and 1 is weakened to the effect that the function does not take the value 0 and a derivative does not take the value 1.
In 1954 he received the Urania Prize of Naples, in 1960 the gold medal for merits in science, culture and the arts and in 1961 the Prize of the President of the Republic of Italy of the Accademia dei Lincei. He was a member of the Accademia dei Lincei and the Accademia dei LX.
Fonts (selection)
- Condizioni sufficienti per il minimo degli integrali doppi , Roma: Accad., 1934
- Problemi di esistenta in analisi funzionale , Pisa: Tacchi, 1949
- Equazioni alle derivate parziali di tipo ellittico , Berlin: Springer, 1955
- Partial differential equations of elliptic type , Berlin / New York, Springer-Verlag, 1970
Individual evidence
- ^ Wladyslaw Kulpa, The Poincaré-Miranda Theorem, American Mathematical Monthly, Volume 104, pp. 545-550, 1997.
Web links
- Literature by and about Carlo Miranda in the bibliographic database WorldCat
- John J. O'Connor, Edmund F. Robertson : Carlo Miranda. In: MacTutor History of Mathematics archive .
- Biography, italian
| personal data | |
|---|---|
| SURNAME | Miranda, Carlo |
| BRIEF DESCRIPTION | Italian mathematician |
| DATE OF BIRTH | August 15, 1912 |
| PLACE OF BIRTH | Naples |
| DATE OF DEATH | May 28, 1982 |
| Place of death | Naples |