mathematics

Victor Goryunov

Victor Goryunov 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 Victor Goryunov rather than just read about it. In short: Victor Vladimirovich Goryunov is a Russian mathematician born in 1956. He is a leading figure in singularity theory, whose contributions to the subject are fundamental.

Key takeaways

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

Reference excerpt

Victor Vladimirovich Goryunov is a Russian mathematician born in 1956. He is a leading figure in singularity theory, whose contributions to the subject are fundamental. He has published several books and a variety of papers in singularity theory, finite type invariants, and Legendrian knots. Many of his papers in Lagrangian and Legendrian geometry are now considered to be classical in the subject. Goryunov completed his Ph.D. thesis, titled "Surface projection singularities", at Moscow's Lomonosov State University in 1981, under the direction of Vladimir Arnold. He is currently a Professor of Mathematics at the University of Liverpool. He was an editorial advisor of the journal Proceedings of the London Mathematical Society.

Publications He is the co-author of two published books.

Arnold, V. I.; Goryunov, V. V.; Lyashko, O. V.; Vassiliev, V. A. (1993), Dynamical Systems VI: Singularity Theory I, Local and global theory, Springer, ISBN 3-540-50583-0 Arnold, V. I.; Goryunov, V. V.; Lyashko, O. V.; Vassiliev, V. A. (1993), Dynamical Systems VIII: Singularity Theory II, Classification and Applications, Springer, ISBN 3-540-53376-1 Since 1978, he has published more than 50 peer reviewed articles. A list of recent publications and preprints, together with PDF files, can be found here; a list of earlier publications can be found here.

References

External links Victor Goryunov at the Mathematics Genealogy Project David Mond. "Victor Goryunov's Mathematical Work" (PDF). Archived from the original (PDF) on April 19, 2016. Retrieved April 8, 2016.

Illustrations

Worked examples

Example 1 — a first encounter with Victor Goryunov

Start with the simplest possible case. Write down what Victor Goryunov 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 Victor Goryunov 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 Victor Goryunov 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 Victor Goryunov

In research: Victor Goryunov 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 Victor Goryunov 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: Victor Goryunov is common in secondary-school and first-year university syllabi. It links to neighbouring topics 1956 births, 20th-century Russian mathematicians, 21st-century Russian mathematicians, so understanding it makes those chapters shorter.
In everyday life: Look for Victor Goryunov 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 Victor Goryunov in 20 minutes

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

Frequently asked questions

What is Victor Goryunov in simple terms?

Victor Vladimirovich Goryunov is a Russian mathematician born in 1956. He is a leading figure in singularity theory, whose contributions to the subject are fundamental.

Why does Victor Goryunov 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 Victor Goryunov?

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 Victor Goryunov.