mathematics

Mauro Picone

Mauro Picone 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 Mauro Picone rather than just read about it. In short: Mauro Picone (2 May 1885 – 11 April 1977) was an Italian mathematician. He is known for the Picone identity, the Sturm-Picone comparison theorem and being the founder of the Istituto per le Applicazioni del Calcolo, presently named after him, the first applied mathematics institute ever founded.

Key takeaways

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

Reference excerpt

Mauro Picone (2 May 1885 – 11 April 1977) was an Italian mathematician. He is known for the Picone identity, the Sturm-Picone comparison theorem and being the founder of the Istituto per le Applicazioni del Calcolo, presently named after him, the first applied mathematics institute ever founded. He was also an outstanding teacher of mathematical analysis: some of the best Italian mathematicians were among his pupils.

Work

Research activity Attraverso le sue ricerche di analisi matematica, Mauro Picone ha contribuito notevolmente allo sviluppo della matematica del nostro secolo. Egli è stato inoltre un pioniere delle matematiche applicate.

Teaching activity Notable students:

Selected publications Picone, Mauro (1923), Lezioni di analisi infinitesimale (PDF), Volume 1 (in Italian), vol. Parte Prima – La Derivazione, Catania: Circolo matematico di Catania, pp. xii+351, JFM 49.0172.07 (Review of the whole volume I) (available from the "Edizione Nazionale Mathematica Italiana"), reviewed by Polvani, P. (December 1924), "MAURO PICONE (Professore d'Analisi superiore all'Università di Pisa) Lezioni di Analisi Infinitesimale", Il Nuovo Cimento (in Italian), 1 (1): 135–136, doi:10.1007/BF02956742, S2CID 117718455. Picone, Mauro (1923), Lezioni di analisi infinitesimale (PDF), Volume 1 (in Italian), vol. Parte Seconda – L'Integrazione, Catania: Circolo matematico di Catania, pp. v+352–742, JFM 50.0150.04, (Review of the 2nd part of volume I) (available from the "Edizione Nazionale Mathematica Italiana"). Picone, Mauro; Viola, Tullio (1952), Lezioni sulla teoria moderna dell'integrazione [Lectures on modern integration theory], Manuali Einaudi. Serie di matematica (in Italian), Turin: Edizioni Scientifiche Einaudi, p. 404, MR 0049983, Zbl 0046.28102, reviewed by Cimmino, Gianfranco (1952), "M. Picone – T. Viola, Lezioni sulla teoria Moderna dell'Integrazione" [Lectures on modern integration theory], Bollettino dell'Unione Matematica Italiana, Serie 3 (in Italian), 7 (4): 452–454 and by Halmos, Paul R. (January 1953), "Review: M. Picone and T. Viola, Lezioni sulla teoria moderna dell'integrazione", Bulletin of the American Mathematical Society, 59 (1): 94, doi:10.1090/S0002-9904-1953-09666-5.

See also Renato Caccioppoli Lamberto Cesari Ennio De Giorgi Gaetano Fichera Picone identity Antonio Signorini Sturm-Picone comparison theorem

Notes

References

External links

Guerraggio, Angelo; Nastasi, Pietro (2008–2010), "Mauro Picone (1885–1977)", Edizione Nazionale Mathematica Italiana (in Italian), Scuola Normale Superiore, retrieved 13 April 2011. The entry about Mauro Picone at the Edizione Nazionale Matematica Italiana. O'Connor, John J.; Robertson, Edmund F., "Mauro Picone", MacTutor History of Mathematics Archive, University of St Andrews Istituto per le Applicazioni del Calcolo "Mauro Picone": the institute he founded in 1922.

Illustrations

Worked examples

Example 1 — a first encounter with Mauro Picone

Start with the simplest possible case. Write down what Mauro Picone 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 Mauro Picone 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 Mauro Picone 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 Mauro Picone

In research: Mauro Picone 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 Mauro Picone 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: Mauro Picone is common in secondary-school and first-year university syllabi. It links to neighbouring topics 1885 births, 1977 deaths, 20th-century Italian mathematicians, so understanding it makes those chapters shorter.
In everyday life: Look for Mauro Picone 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 Mauro Picone in 20 minutes

Read the reference excerpt below once, without taking notes.
Close the page and write down what Mauro Picone 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.
Explain Mauro Picone out loud to somebody else — or to Teacher Smith in the lgStudy chat.

Frequently asked questions

What is Mauro Picone in simple terms?

Why does Mauro Picone 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 Mauro Picone?

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 Mauro Picone.