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Welington de Melo

Welington de Melo 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 Welington de Melo rather than just read about it. In short: Welington Celso de Melo (17 November 1946 – 21 December 2016) was a Brazilian mathematician. Known for his contributions to dynamical systems theory, he served as full professor at Instituto Nacional de Matemática Pura e Aplicada from 1980 to 2016.

Welington de Melo — main illustration
Welington de Melo — illustration

Key takeaways

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

Reference excerpt

Welington Celso de Melo (17 November 1946 – 21 December 2016) was a Brazilian mathematician. Known for his contributions to dynamical systems theory, he served as full professor at Instituto Nacional de Matemática Pura e Aplicada from 1980 to 2016. Melo wrote numerous papers, one being a complete description of the topological behavior of 1-dimensional real dynamical systems (co-authored with Marco Martens and Sebastian van Strien). He proved the global hyperbolicity of renormalization for Cr unimodal maps (co-authored with Alberto Pinto and Edson de Faria). He was a recipient of the 2003 TWAS Prize.

Biography Born on November 17, 1946, in Guapé, Minas Gerais, Welington studied electrical engineering at the Federal University of Minas Gerais (1969). He adopted mathematics after attending a course in the researcher of the Elon Lages Lima Institute in a colloquium in Poços de Caldas, Minas Gerais. Invited by Elon to study at Instituto Nacional de Matemática Pura e Aplicada he moved to Rio de Janeiro with his wife Gilza in 1970, with Jacob Palis his advisor, where Welington completed his doctorate in two years, with a thesis published in the prestigious Inventiones Mathematicae in 1972. He did his post-doctorate in mathematics at the University of California, Berkeley in 1972. He returned two years later to Brazil to make a career as a researcher at IMPA, where he stayed ever since. Appreciated by different generations of mathematicians, Welington was known and respected for his academic rigor and scientific productivity. Besides mathematics, he was passionate about sailing. On 1987 Steve Smale, Charles Pugh and Welington sailed the Pacific in a long journey on Smale's 43-foot Stardust. On his 30-foot Doisdu boat, he sailed at least a hundred days a year, mostly along Angra dos Reis's coast. He interpreted the wind with mastery, a phenomenon that can be modeled by dynamic systems, his mathematical specialty. He was proud to have taken on board the Doisdu six Fields Medal recipients and many friends of IMPA. He died on December 21, 2016, at age 70, of complications of a heart attack.

Awards and honors Brazilian Academy of Sciences, Member (1991) National Order of Scientific Merit, Commander (1996) Invited Lecturer at the International Congress of Mathematicians, (1998) National Order of Scientific Merit, Grand Cross (2002) Third World Academy of Sciences Prize (2003) The World Academy of Sciences, Member (2005)

References

External links Welington de Melo's website at IMPA Archived 2011-07-06 at the Wayback Machine Curriculum Vitae Welington de Melo at the Mathematics Genealogy Project

Illustrations

Welington de Melo illustration

Worked examples

Example 1 — a first encounter with Welington de Melo

Start with the simplest possible case. Write down what Welington de Melo 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 Welington de Melo 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 Welington de Melo 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 Welington de Melo

In research
Welington de Melo 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 Welington de Melo 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
Welington de Melo is common in secondary-school and first-year university syllabi. It links to neighbouring topics 1946 births, 2016 deaths, 20th-century Brazilian mathematicians, so understanding it makes those chapters shorter.
In everyday life
Look for Welington de Melo 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 Welington de Melo in 20 minutes

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

Frequently asked questions

What is Welington de Melo in simple terms?

Welington Celso de Melo (17 November 1946 – 21 December 2016) was a Brazilian mathematician. Known for his contributions to dynamical systems theory, he served as full professor at Instituto Nacional de Matemática Pura e Aplicada from 1980 to 2016.

Why does Welington de Melo 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 Welington de Melo?

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 Welington de Melo.

Tags

  • 1946 births
  • 2016 deaths
  • 20th-century Brazilian mathematicians
  • 21st-century Brazilian mathematicians
  • Brazilian scientist stubs
  • Dynamical systems theorists
  • Instituto Nacional de Matemática Pura e Aplicada alumni
  • Instituto Nacional de Matemática Pura e Aplicada researchers
  • People from Minas Gerais
  • Recipients of the Great Cross of the National Order of Scientific Merit (Brazil)
  • TWAS laureates

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