Carlo Miranda (15 August 1912 – 28 May 1982) was an Italian

mathematician A mathematician is someone who uses an extensive knowledge of mathematics in their work, typically to solve mathematical problems. Mathematicians are concerned with numbers, data, quantity, structure, space, models, and change. History On ...

, working on

mathematical analysis Analysis is the branch of mathematics dealing with continuous functions, limit (mathematics), limits, and related theories, such as Derivative, differentiation, Integral, integration, measure (mathematics), measure, infinite sequences, series (m ...

, theory of elliptic partial differential equations and complex analysis: he is known for giving the first proof of the

Poincaré–Miranda theorem In mathematics, the Poincaré–Miranda theorem is a generalization of intermediate value theorem, from a single function in a single dimension, to functions in dimensions. It says as follows: ::Consider n continuous functions of n variables, f_ ...

, for Miranda's theorem in complex analysis, and for writing an influential monograph in the theory of elliptic partial differential equations.

Selected works

Scientific works

Articles

*, available at Gallica. *, available a
NUMDAM
*.

Books

*. *. *. *. * (and for the second volume). *: 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

*. This work completes a survey of with the same title, by elucidating the role of some scientists and adding a further bibliography. *. *.

Notes

References

Biographical references

*. 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. *. 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. * * *. *. An almost identical transcription of the commemoration , 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. *. 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

*: includes a list of Miranda's publications. *. *. *: includes a list of Miranda's publications. *.

Scientific references

*. *: includes a list of Miranda's publications. *. *. 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 Functional analysis is a branch of mathematical analysis, the core of which is formed by the study of vector spaces endowed with some kind of limit-related structure (e.g. inner product, norm, topology, etc.) and the linear functions defined o ...

. *. *. The "''Introduction''" to his "Selected works" by the members of the

UMI Umi or UMI may refer to: Geography * Umi, Iran, a village in Razavi Khorasan Province, Iran * Umi, Fukuoka, a town in Japan People * Umi-a-Liloa, king of the island of Hawaii *Umi Dachlan, Indonesian female artist * Umi Garrett, American female pi ...

scientific commission who edited them.

Publications dedicated to his memory

External links

* {{DEFAULTSORT:Miranda, Carlo 1912 births 1982 deaths Complex analysts 20th-century Italian mathematicians University of Naples Federico II alumni Academic staff of the University of Genoa Academic staff of the Polytechnic University of Turin Academic staff of the University of Naples Federico II Members of the Lincean Academy Mathematical analysts PDE theorists Giornale di matematiche editors