mathematics

Gianfranco Cimmino

Gianfranco Cimmino 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 Gianfranco Cimmino rather than just read about it. In short: Gianfranco Cimmino (12 March 1908 – 30 May 1989) was an Italian mathematician, working mathematical analysis, numerical analysis, and theory of elliptic partial differential equations: he is known for being the first mathematician generalizing in a weak sense the notion of boundary value in a boundary value problem, and for doing an influential work in numerical analysis. Selected works Scientific works Scientific p…

Key takeaways

Gianfranco Cimmino belongs to mathematics; place it in that map before memorising details.
Learn the definition first, then one example that makes the definition concrete.
Connect Gianfranco Cimmino to a quantity you can measure, compute or draw — that is where exam questions come from.
Reproduce the core statement of Gianfranco Cimmino from memory before moving on to harder problems.

Reference excerpt

Gianfranco Cimmino (12 March 1908 – 30 May 1989) was an Italian mathematician, working mathematical analysis, numerical analysis, and theory of elliptic partial differential equations: he is known for being the first mathematician generalizing in a weak sense the notion of boundary value in a boundary value problem, and for doing an influential work in numerical analysis.

Selected works

Scientific works

Scientific papers Cimmino, Gianfranco (1938), "Calcolo approssimato per le soluzioni dei sistemi di equazioni lineari", La Ricerca Scientifica ed Il Progresso Tecnico Nell'economia Nazionale, Serie II (in Italian), 1: 326–333, JFM 64.1244.02, Zbl 0018.41802. An English translation is available as Cimmino, Gianfranco (2022), "Approximate Computation of the Solutions of Systems of Linear Equations" (PDF), Rendiconto dell'Accademia delle Scienze Fisiche e Matematiche, Napoli, Serie IV, LXXXIX (CLXI): 65–72, doi:10.32092/1096, Zbl 1522.65042. Cimmino, Gianfranco (1988), "A conjecture on minimal surfaces", Atti della Accademia Nazionale dei Lincei. Rendiconti. Classe di Scienze Fisiche, Matematiche e Naturali, Serie VIII (in Italian), LXXXII (4): 639–644, MR 1139810, Zbl 0747.53009. Cimmino, Gianfranco (1989), "On some identities involving spherical means", Atti della Accademia Nazionale dei Lincei. Rendiconti. Classe di Scienze Fisiche, Matematiche e Naturali, Serie VIII (in Italian), LXXXIII (4): 69–72, MR 1142440, Zbl 0734.15009.

Books Cimmino, Gianfranco (2002), Sbordone, Carlo; Trombetti, Guido (eds.), Opere scelte [Selected works], Memorie (in Italian), vol. 10, Napoli: Giannini Editore, pp. XV+670. Gianfranco Cimmino's "Selected works", edited under the auspices of the Accademia Pontaniana and of the Academy of Physical and Mathematical Sciences of the Società Nazionale di Scienze Lettere e Arti in Napoli.

Commemorative, historical, and survey works Cimmino, Gianfranco; Scorza Dragoni, Giuseppe (1984), "L'opera Matematica di Carlo Miranda" [The mathematical work of Carlo Miranda], Atti della Accademia Nazionale dei Lincei. Rendiconti. Classe di Scienze Fisiche, Matematiche e Naturali, Series VIII (in Italian), LXXVI (2): 145–157, ISSN 0392-7881, MR 0814350. Cimmino, Giafranco (1986), "Indirizzo di adesione", in Montalenti, G.; Amerio, L.; Acquaro, G.; Baiada, E.; et al. (eds.), Convegno celebrativo del centenario della nascita di Mauro Picone e Leonida Tonelli (6–9 maggio 1985), Atti dei Convegni Lincei (in Italian), vol. 77, Roma: Accademia Nazionale dei Lincei, pp. 14–15, archived from the original on 2011-02-23, retrieved 2016-12-25. The "participating address" presented to the International congress on the occasion of the celebration of the centenary of birth of Mauro Picone and Leonida Tonelli (held in Rome on May 6–9, 1985) by Gianfranco Cimmino on behalf of the Accademia delle Scienze dell'Istituto di Bologna.

See also Luigi Amerio Distribution (mathematics) Hyperfunction

Notes

References

External links O'Connor, John J.; Robertson, Edmund F. (July 2012), "Gianfranco Cimmino", MacTutor History of Mathematics Archive, University of St Andrews

Worked examples

Example 1 — a first encounter with Gianfranco Cimmino

Start with the simplest possible case. Write down what Gianfranco Cimmino 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 Gianfranco Cimmino 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 Gianfranco Cimmino 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 Gianfranco Cimmino

In research: Gianfranco Cimmino 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 Gianfranco Cimmino 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: Gianfranco Cimmino is common in secondary-school and first-year university syllabi. It links to neighbouring topics 1908 births, 1989 deaths, 20th-century Italian mathematicians, so understanding it makes those chapters shorter.
In everyday life: Look for Gianfranco Cimmino 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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How to study Gianfranco Cimmino in 20 minutes

Read the reference excerpt below once, without taking notes.
Close the page and write down what Gianfranco Cimmino means in your own words.
Compare your version with the excerpt and mark what you missed.
Work through the three examples above with pen and paper.
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Frequently asked questions

What is Gianfranco Cimmino in simple terms?

Why does Gianfranco Cimmino 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 Gianfranco Cimmino?

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 Gianfranco Cimmino.