mathematics

Paulo Ribenboim

Paulo Ribenboim 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 Paulo Ribenboim rather than just read about it. In short: Paulo Ribenboim (born March 13, 1928) is a Brazilian-Canadian mathematician who specializes in number theory. Biography Ribenboim was born into a Jewish family in Recife, Brazil.

Key takeaways

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

Reference excerpt

Paulo Ribenboim (born March 13, 1928) is a Brazilian-Canadian mathematician who specializes in number theory.

Biography Ribenboim was born into a Jewish family in Recife, Brazil. He received his BSc in mathematics from the University of São Paulo in 1948, and won a fellowship to study with Jean Dieudonné in France at the University of Nancy in the early 1950s, where he became a close friend of Alexander Grothendieck. He has contributed to the theory of ideals and of valuations. Ribenboim has authored 246 publications including 13 books. He has been at Queen's University in Kingston, Ontario, since the 1960s, where he remains a professor emeritus. Jean Dieudonné was one of his doctoral advisors. Andrew Granville, Ján Mináč, Karl Dilcher and Aron Simis have been doctoral students of Ribenboim. The Ribenboim Prize of the Canadian Number Theory Association is named in his honor.

Personal life In 1951, Ribenboim married Huguette Demangelle, a French Catholic woman whom he met in France. The couple have two children and five grandchildren, and have lived in Canada since 1962.

Bibliography Paulo Ribenboim (1964) Functions, Limits, and Continuity , John Wiley & Sons, Inc. Paulo Ribenboim (1968). La conjecture d'Artin sur les équations diophantiennes. Queen's papers in pure and applied mathematics. Kingston (Ontario): Queen's University. Paulo Ribenboim (1969). Rings and modules. New-York: John Wiley & Sons. ISBN 978-0470718056. Paulo Ribenboim (1972). Algebraic numbers. New-York: Wiley-Interscience. ISBN 9780471718048. Paulo Ribenboim (1972). L'arithmétique des corps. Méthodes. Paris: Hermann. ISBN 2-7056-5665-0. Paulo Ribenboim. (1989). The Book of Prime Number Records. Springer. ISBN 978-0-387-97042-4. Paulo Ribenboim. (1995). 13 Lectures on Fermat's Last Theorem. Springer-Verlag. ISBN 978-0-387-90432-0. Paulo Ribenboim. (1996). The New Book of Prime Number Records. Springer-Verlag. ISBN 978-0-387-94457-9. Collected Papers of Paulo Ribenboim. Queens Univ Campus. 1997. ISBN 978-0-88911-735-8. Paulo Ribenboim. (1999). The Little Book of Big Primes. Springer-Verlag. ISBN 978-0-387-97508-5. Paulo Ribenboim. (1999). The Theory of Classical Valuations. Springer-Verlag. ISBN 978-0-387-98525-1. Paulo Ribenboim. (2000). My Numbers, My Friends: Popular Lectures on Number Theory. Springer-Verlag. ISBN 978-0-387-98911-2. Paulo Ribenboim. (2000). Fermat's Last Theorem for Amateurs. Springer-Verlag. ISBN 978-0-387-98508-4. Paulo Ribenboim. (2001). Classical Theory of Algebraic Numbers. Springer-Verlag. ISBN 978-0-387-95070-9. Paulo Ribenboim. (2004). The Little Book of Bigger Primes. Springer-Verlag. ISBN 978-0-387-20169-6. Paulo Ribenboim. (2016). Prime Numbers, Friends Who Give Problems: A Trialogue with Papa Paulo. World-Scientific. ISBN 978-9-814-72581-1.

References

External links Paulo Ribenboim at the Mathematics Genealogy Project The Canadian Number Theory Association Ribenboim Prize

Illustrations

Worked examples

Example 1 — a first encounter with Paulo Ribenboim

Start with the simplest possible case. Write down what Paulo Ribenboim 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 Paulo Ribenboim 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 Paulo Ribenboim 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 Paulo Ribenboim

In research: Paulo Ribenboim 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 Paulo Ribenboim 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: Paulo Ribenboim is common in secondary-school and first-year university syllabi. It links to neighbouring topics 1928 births, 20th-century Brazilian mathematicians, 21st-century Canadian mathematicians, so understanding it makes those chapters shorter.
In everyday life: Look for Paulo Ribenboim 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.

Affiliate

Preply — study more efficiently by working with a personal tutor. 50% off.

How to study Paulo Ribenboim in 20 minutes

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

Frequently asked questions

What is Paulo Ribenboim in simple terms?

Paulo Ribenboim (born March 13, 1928) is a Brazilian-Canadian mathematician who specializes in number theory. Biography Ribenboim was born into a Jewish family in Recife, Brazil.

Why does Paulo Ribenboim 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 Paulo Ribenboim?

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 Paulo Ribenboim.