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Mauro Francaviglia

Mauro Francaviglia 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 Francaviglia rather than just read about it. In short: Mauro Francaviglia (22 June 1953 – 24 June 2013) was an Italian mathematician. He was a professor at University of Turin and he worked mainly on geometric methods applied to mechanics, mathematical physics and general relativity.

Key takeaways

  • Mauro Francaviglia 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 Francaviglia to a quantity you can measure, compute or draw — that is where exam questions come from.
  • Reproduce the core statement of Mauro Francaviglia from memory before moving on to harder problems.

Reference excerpt

Mauro Francaviglia (22 June 1953 – 24 June 2013) was an Italian mathematician. He was a professor at University of Turin and he worked mainly on geometric methods applied to mechanics, mathematical physics and general relativity.

Biography Francaviglia obtained a degree in Mathematics at University of Turin in 1975 under the supervision of Dionigi Galletto. In the same university, he was a fellow of the CNR (the Italian National Research Council) from 1975 to 1978 and a teaching assistant from 1978 to 1980. In 1976 he was awarded the Bonavera Prize from the Accademia delle Scienze di Torino nel 1977. He became full Professor at University of Turin in 1980, when he was 27 years old (the youngest full professor in his discipline). He spent the last years of his life at the University of Calabria, in Arcavacata di Rende. Besides his scientific activities, Francaviglia was a prominent philatelist. He has been president of the Unione Filatelica Subalpina di Torino, vice-president of the Federazione tra le società filateliche italiane, council member of the Unione stampa filatelica italiana, member of the Royal Philatelic Society London and council member of the Académie européenne de philatélie.

Research Francaviglia's scientific interests covered a wide range of topics, including the application of differential geometry in mathematical physics, classical mechanics, general relativity and field theories, calculus of variations, symmetries and conservation laws, quantization and thermodynamics. He was author of over 250 papers, three monographs and 11 encyclopaedia long entries, and he supervised 6 PhD students. He was director of several courses at Centro internazionale matematico estivo; he organized 20 national and international conferences, among which the 14th World Conference on General Relativity in Florence (1995). He was member of the Scientific Council of the INdAM National Group for Mathematical Physics (GNFM) (1980–1996) and life member of the International Society on General Relativity. In 1990 he founded the Italian Society for General Relativity and Gravitation (SIGRAV), of which he was president for two terms (1992–1996 and 2008–2012). He also served as a member of the Board of the International Society on General Relativity and Gravitation (IGRG) for nine years (1986–1995). Francaviglia was co-founder (1984) and Managing Editor of Journal of Geometry and Physics, Associate Editor of the Journal of General Relativity and Gravitation since 1999 and Managing Editor of the International Journal of Geometric Methods in Modern Physics. A special issue of the last journal has published a collection of scientific contributions from several Francaviglia's collaborators, presented in a workshop in his memory two years after his death.

Monographs Elements of Differential and Riemannian Geometry, Monographs and Textbooks in Physical Sciences, Lecture Notes 4 (Proceedings Summer School on "Geometrical Methods in Theoretical Physics", Ferrara 1987), Bibliopolis, Napoli, (1988), ISBN 8870881784 Relativistic Theories (The Variational Formulation), XIII Scuola Estiva di Fisica Matematica, Ravello 1988, Quaderni del CNR, Gruppo Nazionale di Fisica Matematica, (1991). (with L. Fatibene), Natural and Gauge-Natural Formalism for Classical Field Theories: A Geometric Perspective including Spinors and Gauge Theories, Kluwer Academic Publishers, Dordrecht, The Netherlands, (2003). ISBN 978-90-481-6461-5, doi:10.1007/978-94-017-2384-8

References

External links Mauro Francaviglia at the Mathematics Genealogy Project Associazione culturale "Mauro Francaviglia"

Worked examples

Example 1 — a first encounter with Mauro Francaviglia

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

In research
Mauro Francaviglia 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 Francaviglia 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 Francaviglia is common in secondary-school and first-year university syllabi. It links to neighbouring topics 1953 births, 2013 deaths, 20th-century Italian mathematicians, so understanding it makes those chapters shorter.
In everyday life
Look for Mauro Francaviglia 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 Francaviglia in 20 minutes

  1. Read the reference excerpt below once, without taking notes.
  2. Close the page and write down what Mauro Francaviglia means in your own words.
  3. Compare your version with the excerpt and mark what you missed.
  4. Work through the three examples above with pen and paper.
  5. Explain Mauro Francaviglia out loud to somebody else — or to Teacher Smith in the lgStudy chat.

Frequently asked questions

What is Mauro Francaviglia in simple terms?

Mauro Francaviglia (22 June 1953 – 24 June 2013) was an Italian mathematician. He was a professor at University of Turin and he worked mainly on geometric methods applied to mechanics, mathematical physics and general relativity.

Why does Mauro Francaviglia 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 Francaviglia?

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 Francaviglia.

Tags

  • 1953 births
  • 2013 deaths
  • 20th-century Italian mathematicians
  • 21st-century Italian mathematicians
  • Academic staff of the University of Turin
  • Differential geometers
  • Italian relativity theorists
  • Scientists from Turin
  • University of Turin alumni

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