mathematics

Vladimir Miklyukov

Vladimir Miklyukov 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 Vladimir Miklyukov rather than just read about it. In short: Vladimir Michaelovich Miklyukov (Russian: Миклюков, Владимир Михайлович, also spelled Miklioukov or Mikljukov) (8 January 1944 – October 2013) was a Russian educator in mathematics, and head of the Superslow Process workgroup based at Volgograd State University. Biography In 1970, as a student of Georgy D.

Key takeaways

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

Reference excerpt

Vladimir Michaelovich Miklyukov (Russian: Миклюков, Владимир Михайлович, also spelled Miklioukov or Mikljukov) (8 January 1944 – October 2013) was a Russian educator in mathematics, and head of the Superslow Process workgroup based at Volgograd State University.

Biography In 1970, as a student of Georgy D. Suvorov at Donetsk National University, he defended his Ph.D. thesis Theory of Quasiconformal Mappings in Space. In 1981 Miklyukov and his family moved to Volgograd. He was transferred to the newly built Volgograd State University where he became chairman of the Department of Mathematical Analysis and Theory of Functions. His scientific research focused on geometrical analysis. At the same time, he was studying zero mean curvature surfaces in Euclidean and pseudo-Euclidean spaces, nonlinear elliptic type partial differential equations and quasiregular mappings of Riemannian manifolds. The main results of that work were related to the following groups of questions:

The external geometrical structure of zero mean curvature surfaces in Euclidean and pseudo-euclidean spaces; spacelike tubes and bands of zero mean curvature, their stability and instability with respect to small deformations, their life-time, branches, connections between branch points and Lorentz invariant characteristics of surfaces; Phragmén-Lindelöf type theorems for differential forms; Ahlfors type theorems for differential forms with finite or infinite number of different asymptotic tracts; generalizations of Wiman theorem of forms, applications to quasiregular mappings on manifolds; applications of isoperimetric methods to the Phragmén–Lindelöf principle for quasiregular mappings on manifolds. From 1998-2000 Miklyukov was a visiting professor at Brigham Young University. In 2009 Miklyukov was named a Distinguished Scientist of Russian Federation.

Publications Miklyukov, Vladimir (2008). Introduction to Nonsmooth Analysis (PDF) (in Russian) (2 ed.). Volgograd: VolSU. ISBN 978-5-9669-0457-9. Archived from the original (PDF) on 2011-07-22. Retrieved 2009-11-16. —— (2007). Geometrical Analysis. Differential Forms, Almost-solutions, Almost Quasiconformal Mappings (PDF) (in Russian). Volgograd: VolSU. ISBN 978-5-9669-0268-1. —— (2006). Introduction to Nonsmooth Analysis. Volgograd: VolSU. ISBN 5-9669-0209-7. —— (2005). Conformal Mapping of Irregular Surfaces and Its Application (PDF) (in Russian). Volgograd: VolSU. ISBN 5-9669-0071-X. Archived from the original (PDF) on 2011-07-22. Retrieved 2009-11-15. Miklyukov, Vladimir; Klyachin, Vladimir A. (2004). Tubes and Bands in Space-Time. Anniversary series: The Scientists of the Volga (in Russian). Volgograd: VolSU. ISBN 5-85534-971-3.

References

External links Official website of Milyukov (in Russian) Vladimir Miklyukov's obituary Archived 2013-10-17 at the Wayback Machine (in Russian)

Illustrations

Worked examples

Example 1 — a first encounter with Vladimir Miklyukov

Start with the simplest possible case. Write down what Vladimir Miklyukov 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 Vladimir Miklyukov 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 Vladimir Miklyukov 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 Vladimir Miklyukov

In research: Vladimir Miklyukov 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 Vladimir Miklyukov 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: Vladimir Miklyukov is common in secondary-school and first-year university syllabi. It links to neighbouring topics 1944 births, 2013 deaths, 20th-century Russian mathematicians, so understanding it makes those chapters shorter.
In everyday life: Look for Vladimir Miklyukov 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 Vladimir Miklyukov in 20 minutes

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

Frequently asked questions

What is Vladimir Miklyukov in simple terms?

Why does Vladimir Miklyukov 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 Vladimir Miklyukov?

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 Vladimir Miklyukov.