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Paolo Emilio Ricci

Paolo Emilio Ricci is a mathematics topic covered in the lgStudy science library. This page brings together a partial reference excerpt, illustrations, worked examples, real-world applications and a short study plan, so you can understand Paolo Emilio Ricci rather than just read about it. In short: Paolo Emilio Ricci ((1944-02-04)4 February 1944) is an Italian mathematician, working on mathematical physics, orthogonal polynomials, special functions, numerical analysis, approximation theory and other related subjects mathematical analysis, theory of elliptic partial differential equations and special functions: he is also known for his work collaboration with Johan Gielis. Education and academic career Paolo Em…

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Reference excerpt

Paolo Emilio Ricci ((1944-02-04)4 February 1944) is an Italian mathematician, working on mathematical physics, orthogonal polynomials, special functions, numerical analysis, approximation theory and other related subjects mathematical analysis, theory of elliptic partial differential equations and special functions: he is also known for his work collaboration with Johan Gielis.

Education and academic career Paolo Emilio Ricci received his Laurea degree (cum laude) on 7 July 1967, at the Sapienza University of Rome: his thesis supervisor was Gaetano Fichera. After his graduation he was appointed assistant professor to the chair of Mathematical Analysis II again at the Sapienza University of Rome for the 1967-1968 academic year. From 1969 to 1980 he worked as an assistant to the same chair, except for the years 1970-71 when he did his military service as a second lieutenant in the Italian Corps of Military Engineers. In 1979 he won the ministerial competition for a chair of numerical analysis and become associate professor: as a consequence of his election, from November 1, 1980, to October 31, 1981, he worked as an ordinary professor of numerical analysis at the University of Catania. From November 1, 1981, to November 1, 1990, he held the chair of Mathematical Analysis I at the Faculty of Engineering of the Sapienza University of Rome, first as an assistant professor and after the 1983 as an ordinary professor. From 1990 to the year of his retirement (2009) he held the chair of numerical analysis at the Faculty of Natural, Physical and Mathematical Sciences of the Sapienza University of Rome: after his retirement he accepted professor position in the Università telematica internazionale Uninettuno, ad this is currently his work. He has also been director of the Rendiconti di Matematica in 1983 and for three years from 1984 to 1986 and then for six years, from 1987 to 1989 and from 1990 to 1992, jointly with Pietro Benvenuti.

Honors On 10 September 2003, he was awarded Doctor Honoris Causa by the I. Vekua Institute of Applied Mathematics of the Ivane Javakhishvili Tbilisi State University. On May 24-28, 2009, on the occasion of his retirement, the conference "Advanced Special Functions and Solutions of PDEs" in honor of Paolo Emilio Ricci was held in Sabaudia. In 2015, during the workshop "Modeling in Mathematics", for his contributions to geometry and mathematics, he was awarded the second Simon Stevin Prize for Geometry. In 2017, he received the "Life-long achievement award of Vijnana Parishad" of India, followed in 2022 by "Golden Jubilee Award of Vijnana Parishad of India". on the occasion of the 5th International Conference on Recent Advances in Mathematical Sciences with Applications in Engineering and Technology. On 23–24 May 2024, a conference in honor of Paolo Emilio Ricci on his 80th Birthday was held in Rome at the Istituto per le Applicazioni del Calcolo "Mauro Picone" IAC - CNR.

Selected works

Scientific works

Articles Ricci, Paolo Emilio (1974), "Sui potenziali di semplice strato per le equazioni ellittiche di ordine superiore in due variabili" [On simple layer potentials for two variables higher order elliptic equations], Rendiconti di Matematica, 6 (in Italian), 7 (1): 1–39, MR 0367446, Zbl 0302.35042. Ricci, Paolo Emilio (1975), "Alcune osservazioni sulle potenze delle matrici del secondo ordine e sui polinomi di Tchebycheff di seconda specie" [Some observations on the powers of second order matrices and on Tchebycheff polynomials of the second kind], Atti dell'Accademia delle Scienze di Torino. I. Classe di Scienze Fisiche, Matematiche e Naturali. (in Italian), 109 (3–4), Torino: Accademia delle Scienze di Torino: 405–410, ISSN 0001-4419, MR 0417469, Zbl 0351.15008. Ricci, Paolo Emilio (1978), "I polinomi di Tchebycheff in più variabili" [Tchebycheff polynomials in several variables], Rendiconti di Matematica, 6 (in Italian), 11 (2): 295–327, MR 0520295, Zbl 0405.15012. Ricci, Paolo Emilio (1999), "Generalized Lucas polynomials, matrix theory, and zero's distribution of orthogonal polynomials", in Rossmann, Jürgen; Takáč, Peter; Wildenhain, Günther (eds.), The Mazʹya anniversary collection. Vol. 2. Rostock Conference on Functional Analysis, Partial Differential Equations and Applications. Papers from the conference held at the University of Rostock, Rostock, August 31–September 4, 1998, Operator Theory: Advances and Applications, vol. 110, Birkhäuser Verlag, pp. 257–274, doi:10.1007/978-3-0348-8672-7_15, ISBN 978-3-7643-6202-7, ISSN 0255-0156, MR 1747883, Zbl 0923.00035.

Books Ricci, Paolo Emilio (2015), Forme canoniche e funzioni di matrice. Teoria di Jordan [Canonical forms and functions of matrices. Jordan theory] (in Italian), Rome: Aracne Editrice, pp. x+92, ISBN 978-88-548-8039-9, MR 3347989, Zbl 1337.15001. Ricci, Paolo Emilio (2015), Tecniche operatoriali, polinomi e funzioni speciali [Operator-theoretic techniques, polynomials and special functions] (in Italian), Rome: Aracne Editrice, p. xiii+113, ISBN 978-88-548-8392-5, MR 3417483, Zbl 1330.33001. Gielis, Johan; Ricci, Paolo Emilio (2022), From Pythagoras to Fourier and from geometry to nature, Amsterdam: Athena Publishing, pp. xiii+146, doi:10.55060/b.p2fg2n.220215.000, ISBN 978-90-832323-1-7, Zbl 1519.42001.

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Worked examples

Example 1 — a first encounter with Paolo Emilio Ricci

Start with the simplest possible case. Write down what Paolo Emilio Ricci claims or describes in one sentence, then invent the smallest concrete situation in which that sentence is true. In mathematics, the smallest case is usually a single object, a single equation or a single measurement. Check that every symbol or term in your sentence has a meaning in that case.

Example 2 — changing one variable

Take the situation from Example 1 and change exactly one quantity: double it, halve it, or set it to zero. Predict what should happen to Paolo Emilio Ricci before you calculate. Comparing your prediction with the result is the fastest way to find out whether you understand the idea or only the words.

Example 3 — an exam-style question

Typical questions about Paolo Emilio Ricci ask you to (a) state it precisely, (b) apply it to given data, and (c) explain a limitation. Practise writing all three answers in under five minutes; the third part is what separates a full-mark answer from an average one.

Applications of Paolo Emilio Ricci

In research
Paolo Emilio Ricci appears in mathematics research whenever the underlying quantities have to be modelled precisely. Papers usually cite it as a starting assumption and then explore where it breaks down.
In technology and industry
Engineering practice reuses Paolo Emilio Ricci in design rules, simulations and safety margins. Knowing the idea lets you read a specification sheet and understand why the numbers look the way they do.
In the classroom
Paolo Emilio Ricci is common in secondary-school and first-year university syllabi. It links to neighbouring topics 1944 births, 20th-century Italian mathematicians, 21st-century Italian mathematicians, so understanding it makes those chapters shorter.
In everyday life
Look for Paolo Emilio Ricci outside the textbook — in sport, cooking, traffic, electronics or the sky above you. An example you found yourself is remembered far longer than one you were given.
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Frequently asked questions

What is Paolo Emilio Ricci in simple terms?

Paolo Emilio Ricci ((1944-02-04)4 February 1944) is an Italian mathematician, working on mathematical physics, orthogonal polynomials, special functions, numerical analysis, approximation theory and other related subjects mathematical analysis, theory of elliptic partial differential equations and…

Why does Paolo Emilio Ricci matter?

Because it connects several mathematics ideas at once: it gives you a definition you can apply, a quantity you can calculate, and a way to check whether a result is plausible.

How should I study Paolo Emilio Ricci?

Read the excerpt, restate it from memory, then work through the examples and applications listed on this page. The five-step study plan above takes about twenty minutes.

What does this page cover?

It gives you a compact reference excerpt plus original lgStudy explanations, examples, applications and study material on Paolo Emilio Ricci.

Tags

  • 1944 births
  • 20th-century Italian mathematicians
  • 21st-century Italian mathematicians
  • Academic staff of the Sapienza University of Rome
  • Academic staff of the University of Catania
  • Italian mathematical analysts
  • Living people
  • Numerical analysts
  • Sapienza University of Rome alumni

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