mathematics

Mario Pulvirenti

Mario Pulvirenti 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 Mario Pulvirenti rather than just read about it. In short: Mario Pulvirenti is an Italian mathematician, Professor emeritus of Mathematical Physics at Sapienza University of Rome. Biography Mario Pulvirenti received a master's degree in physics from the Sapienza University in 1970, where he is Professor emeritus of Mathematical Physics.

Key takeaways

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

Reference excerpt

Mario Pulvirenti is an Italian mathematician, Professor emeritus of Mathematical Physics at Sapienza University of Rome.

Biography Mario Pulvirenti received a master's degree in physics from the Sapienza University in 1970, where he is Professor emeritus of Mathematical Physics. He also worked at University of L'Aquila and University of Camerino. He spent research periods at École Normale Supérieure, Institut des Hautes Études Scientifiques and Rutgers University. He is currently member of Istituto Nazionale di Alta Matematica and of Accademia dei Lincei, one of the highest Italian academic institutions. In 2006 has been invited speaker at International Congress of Mathematicians in Madrid. In the same year he won the Tartufari prize form Accademia dei Lincei. He is one of the major experts in mathematical aspects of kinetic theory, and among his research topics are also fluid dynamics and statistical mechanics. In particular, he obtained (together with Reinhard Illner) the only rigorous global derivation in time of the Boltzmann equation from particle dynamics known up to now. He is also interested in clarifying some particular aspects of history of mechanics.

Bibliography Global validity of the Boltzmann equation for a two-dimensional rare gas in vacuum (with R. Illner). Communications in Mathematical Physics, 105(2), 189–203 (1986). Global validity of the Boltzmann equation for two-and three-dimensional rare gas in vacuum: Erratum and improved result (with R. Illner). Communications in Mathematical Physics, 121(1), 143–146 (1989). Kinetic equations and asymptotic theory. Ed. by Benoît Perthame and Laurent Desvillettes. Series in Applied Mathematics (Paris). 4. Paris: Gauthier-Villars/ Elsevier (with F.Bouchut, F.Golse, B.Perthame e L.Desvillettes), (2000). ISBN 2-84299-110-9 The mathematical theory of dilute gases. Applied Mathematical Sciences. 106. New York, NY: Springer-Verlag (with C. Cercignani), (1994). ISBN 0-387-94294-7 Nonequilibrium problems in many-particle systems. Lectures given at the 3rd Session of the Centro Internazionale Matematico Estivo (C.I.M.E.) held in Montecatini, Italy, June 15–27, 1992. Lecture Notes in Mathematics. 1551. Berlin: Springer-Verlag (with C. Cercignani), (1993). ISBN 3-540-56945-6 Vortex methods in two-dimensional fluid dynamics. Lecture Notes in Physics, 203. Berlin etc.: Springer-Verlag (with C. Marchioro), (1984). Propagation of chaos and effective equations in kinetic theory: a brief survey (with S. Simonella), Mathematics and Mechanics of Complex Systems, Vol. 4 (2016), No. 3-4, 255–274.

References

Worked examples

Example 1 — a first encounter with Mario Pulvirenti

Start with the simplest possible case. Write down what Mario Pulvirenti 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 Mario Pulvirenti 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 Mario Pulvirenti 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 Mario Pulvirenti

In research: Mario Pulvirenti 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 Mario Pulvirenti 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: Mario Pulvirenti is common in secondary-school and first-year university syllabi. It links to neighbouring topics 1946 births, Italian mathematicians, Living people, so understanding it makes those chapters shorter.
In everyday life: Look for Mario Pulvirenti 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 Mario Pulvirenti in 20 minutes

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

Frequently asked questions

What is Mario Pulvirenti in simple terms?

Mario Pulvirenti is an Italian mathematician, Professor emeritus of Mathematical Physics at Sapienza University of Rome. Biography Mario Pulvirenti received a master's degree in physics from the Sapienza University in 1970, where he is Professor emeritus of Mathematical Physics.

Why does Mario Pulvirenti 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 Mario Pulvirenti?

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 Mario Pulvirenti.