mathematics

Guido Fubini

Guido Fubini 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 Guido Fubini rather than just read about it. In short: Guido Fubini (19 January 1879 – 6 June 1943) was an Italian mathematician, known for Fubini's theorem and the Fubini–Study metric. Life Born in Venice, he was steered towards mathematics at an early age by his teachers and his father, who was himself a teacher of mathematics.

Key takeaways

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

Reference excerpt

Guido Fubini (19 January 1879 – 6 June 1943) was an Italian mathematician, known for Fubini's theorem and the Fubini–Study metric.

Life Born in Venice, he was steered towards mathematics at an early age by his teachers and his father, who was himself a teacher of mathematics. In 1896 he entered the Scuola Normale Superiore di Pisa, where he studied differential geometry under Ulisse Dini and Luigi Bianchi. His 1900 doctoral thesis was about Clifford's parallelism in elliptic spaces. After earning his doctorate, he took up a series of professorships. In 1901 he began teaching at the University of Catania in Sicily; shortly afterwards he moved to the University of Genoa; and in 1908 he moved to the Politecnico in Turin and then the University of Turin, where he stayed for a few decades. During this time his research focused primarily on topics in mathematical analysis, especially differential equations, functional analysis, and complex analysis; but he also studied the calculus of variations, group theory, non-Euclidean geometry, and projective geometry, among other topics. With the outbreak of World War I, he shifted his work towards more applied topics, studying the accuracy of artillery fire; after the war, he continued in an applied direction, applying results from this work to problems in electrical circuits and acoustics. In 1938, when Fubini at the age of 59 was nearing retirement, Benito Mussolini's Fascists adopted the anti-Jewish policies advocated for several years by Adolf Hitler's Nazis. As a Jew, Fubini feared for the safety of his family, and so accepted an invitation by Princeton University to teach there; he died in New York City four years later.

Legacy A main-belt asteroid, 22495 Fubini, was named in his honour.

Publications 1920: Lezioni di analisi matematica (Società Tipografico-Editrice Nazionale, Torino)

References

Accademia delle Scienze di Torino, ed. (1982), "Atti del convegno matematico in celebrazione del centenario nascita di Guido Fubini e Francesco Severi", Atti dell'Accademia delle Scienze di Torino. I. Classe di Scienze Fisiche, Matematiche e Naturali, 115 (Supplemento), Torino: Accademia delle Scienze di Torino: 243. The "Proceedings of the mathematical conference for the celebration of the centenary of the birth of Guido Fubini and Francesco Severi", includes several researches as well as historical papers describing the contributions of Guido Fubini and Francesco Severi to various branches of pure and applied mathematics: the conference was held on 8–10 October 1979 at the Accademia delle Scienze di Torino. Fichera, Gaetano (1982), "I contributi di Guido Fubini e di Francesco Severi alla teoria delle funzioni di più variabili complesse" [The contributions of Guido Fubini and Francesco Severi to the theory of functions of several complex variables], Atti del convegno matematico in celebrazione del centenario della nascita di Guido Fubini e Francesco Severi, Atti dell'Accademia delle Scienze di Torino. I. Classe di Scienze Fisiche, Matematiche e Naturali, vol. 115, Torino: Accademia delle Scienze di Torino, pp. 23–44, MR 0727484, Zbl 0531.32001. In this paper Gaetano Fichera describes the main contributions of the two scientists to the Cauchy and the Dirichlet problem for holomorphic functions of several complex variables, as well as the impact of their work on subsequent researches. Galletto, Dionigi (1982), "Il pensiero di Einstein nell'opera di Guido Fubini e Francesco Severi" [The thought of Einstein in the work of Guido Fubini and Francesco Severi], Atti del convegno matematico in celebrazione del centenario nascita di Guido Fubini e Francesco Severi: Il pensiero di Einstein nell'opera di Guido Fubini e Francesco Severi, Atti dell'Accademia delle Scienze di Torino. I. Classe di Scienze Fisiche, Matematiche e Naturali, vol. 115, Torino: Accademia delle Scienze di Torino, pp. 205–216, MR 0727498, Zbl 0553.01012. In this paper Dionigi Galletto describes the main contributions of the two scientists to the theory of special and general relativity.

External links O'Connor, John J.; Robertson, Edmund F., "Guido Fubini", MacTutor History of Mathematics Archive, University of St Andrews Guido Fubini at the Mathematics Genealogy Project

Illustrations

Worked examples

Example 1 — a first encounter with Guido Fubini

Start with the simplest possible case. Write down what Guido Fubini 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 Guido Fubini 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 Guido Fubini 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 Guido Fubini

In research: Guido Fubini 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 Guido Fubini 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: Guido Fubini is common in secondary-school and first-year university syllabi. It links to neighbouring topics 1879 births, 1943 deaths, 19th-century Italian mathematicians, so understanding it makes those chapters shorter.
In everyday life: Look for Guido Fubini 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 Guido Fubini in 20 minutes

Read the reference excerpt below once, without taking notes.
Close the page and write down what Guido Fubini 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 Guido Fubini in simple terms?

Guido Fubini (19 January 1879 – 6 June 1943) was an Italian mathematician, known for Fubini's theorem and the Fubini–Study metric. Life Born in Venice, he was steered towards mathematics at an early age by his teachers and his father, who was himself a teacher of mathematics.

Why does Guido Fubini 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 Guido Fubini?

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 Guido Fubini.