mathematics

Marcos Dajczer

Marcos Dajczer 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 Marcos Dajczer rather than just read about it. In short: Marcos Dajczer (born 19 November 1948, in Buenos Aires) is an Argentine-born Brazilian mathematician whose research concerns geometry and topology. Dajczer obtained his Ph.D. from the Instituto Nacional de Matemática Pura e Aplicada in 1980 under the supervision of Manfredo do Carmo.

Key takeaways

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

Reference excerpt

Marcos Dajczer (born 19 November 1948, in Buenos Aires) is an Argentine-born Brazilian mathematician whose research concerns geometry and topology. Dajczer obtained his Ph.D. from the Instituto Nacional de Matemática Pura e Aplicada in 1980 under the supervision of Manfredo do Carmo. In 2006, he received Brazil's National Order of Scientific Merit honour for his work in mathematics. He was a Guggenheim Fellow in 1985. Do Carmo–Dajczer theorem is named after his teacher and him.

Selected publications do Carmo, M.; Dajczer, M. (1983) . "Rotation hypersurfaces in spaces of constant curvature", Transactions of the American Mathematical Society, Volume 277, Number 2, pp. 685–709. do Carmo, M.; Dajczer, M. (1982) . "Helicoidal surfaces with constant mean curvature", Tohoku Mathematical Journal Second Series, Volume 34, Number 3, pp. 425–435. Submanifolds and Isometric Immersions (1990, Mathematics Lecture Series) ISBN 9780914098225

References

External links "IMPA: International Symposium on Differential Geometry "In honor of Marcos Dajczer on his 60th birthday"". Archived from the original on 2015-05-26. Retrieved 2015-05-26.

Worked examples

Example 1 — a first encounter with Marcos Dajczer

Start with the simplest possible case. Write down what Marcos Dajczer 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 Marcos Dajczer 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 Marcos Dajczer 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 Marcos Dajczer

In research: Marcos Dajczer 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 Marcos Dajczer 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: Marcos Dajczer is common in secondary-school and first-year university syllabi. It links to neighbouring topics 1948 births, Brazilian mathematicians, Brazilian scientist stubs, so understanding it makes those chapters shorter.
In everyday life: Look for Marcos Dajczer 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 Marcos Dajczer in 20 minutes

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

Frequently asked questions

What is Marcos Dajczer in simple terms?

Why does Marcos Dajczer 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 Marcos Dajczer?

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 Marcos Dajczer.