mathematics

Sabir Gusein-Zade

Sabir Gusein-Zade 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 Sabir Gusein-Zade rather than just read about it. In short: Sabir Medgidovich Gusein-Zade (Russian: Сабир Меджидович Гусейн-Заде; born 29 July 1950 in Moscow) is a Russian mathematician and a specialist in singularity theory and its applications. He studied at Moscow State University, where he earned his Ph.D. in 1975 under the joint supervision of Sergei Novikov and Vladimir Arnold.

Key takeaways

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

Reference excerpt

Sabir Medgidovich Gusein-Zade (Russian: Сабир Меджидович Гусейн-Заде; born 29 July 1950 in Moscow) is a Russian mathematician and a specialist in singularity theory and its applications. He studied at Moscow State University, where he earned his Ph.D. in 1975 under the joint supervision of Sergei Novikov and Vladimir Arnold. Before entering the university, he had earned a gold medal at the International Mathematical Olympiad. Gusein-Zade co-authored with V. I. Arnold and A. N. Varchenko the textbook Singularities of Differentiable Maps (published in English by Birkhäuser). A professor in both the Moscow State University and the Independent University of Moscow, Gusein-Zade also serves as co-editor-in-chief for the Moscow Mathematical Journal. He shares credit with Norbert A'Campo for results on the singularities of plane curves.

Selected publications S. M. Gusein-Zade. "Dynkin diagrams for singularities of functions of two variables". Functional Analysis and Its Applications, 1974, Volume 8, Issue 4, pp. 295–300. S. M. Gusein-Zade. "Intersection matrices for certain singularities of functions of two variables". Functional Analysis and Its Applications, 1974, Volume 8, Issue 1, pp. 10–13. A. Campillo, F. Delgado, and S. M. Gusein-Zade. "The Alexander polynomial of a plane curve singularity via the ring of functions on it". Duke Mathematical Journal, 2003, Volume 117, Number 1, pp. 125–156. S. M. Gusein-Zade. "The problem of choice and the optimal stopping rule for a sequence of independent trials". Theory of Probability & Its Applications, 1965, Volume 11, Number 3, pp. 472–476. S. M. Gusein-Zade. "A new technique for constructing continuous cartograms". Cartography and Geographic Information Systems, 1993, Volume 20, Issue 3, pp. 167–173.

References

External links Sabir Gusein-Zade's results at International Mathematical Olympiad

Illustrations

Worked examples

Example 1 — a first encounter with Sabir Gusein-Zade

Start with the simplest possible case. Write down what Sabir Gusein-Zade 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 Sabir Gusein-Zade 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 Sabir Gusein-Zade 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 Sabir Gusein-Zade

In research: Sabir Gusein-Zade 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 Sabir Gusein-Zade 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: Sabir Gusein-Zade is common in secondary-school and first-year university syllabi. It links to neighbouring topics 1950 births, 20th-century Russian mathematicians, 21st-century Russian mathematicians, so understanding it makes those chapters shorter.
In everyday life: Look for Sabir Gusein-Zade 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 Sabir Gusein-Zade in 20 minutes

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

Frequently asked questions

What is Sabir Gusein-Zade in simple terms?

Why does Sabir Gusein-Zade 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 Sabir Gusein-Zade?

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 Sabir Gusein-Zade.