mathematics

Ivan Privalov

Ivan Privalov 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 Ivan Privalov rather than just read about it. In short: Ivan Ivanovich Privalov (Russian: Ива́н Ива́нович Привáлов; 11 February 1891 – 13 July 1941) was a Soviet and Russian mathematician best known for his work on analytic functions. Biography Privalov graduated from Moscow State University (MSU) in 1913 studying under Dmitri Egorov and Nikolai Luzin.

Key takeaways

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

Reference excerpt

Biography Privalov graduated from Moscow State University (MSU) in 1913 studying under Dmitri Egorov and Nikolai Luzin. He obtained his master's degree from MSU in 1916 and became professor at Imperial Saratov University (1917—1922). In 1922, he was appointed professor at MSU and worked there for the rest of his life. He was elected a corresponding member of the Academy of Sciences of the Soviet Union in 1939. He was also a member of the French Mathematical Society (Société mathématique de France) and the Mathematical Circle of Palermo (Circolo Matematico di Palermo).

Research work Privalov wrote Cauchy Integral (1918) which built on work by Fatou. He also worked on many problems jointly with Luzin. In 1934, he studied subharmonic functions, building on the work of Riesz.

PhD students Samary Aleksandrovich Galpern.

Publications

Books I. I. Privalov, Subharmonic Functions, GITTL, Moscow, 1937. I. I. Privalov, Introduction to the Theory of Functions of a Complex Variable, GITTL, Moscow-Leningrad, 1948 (14n ed: 1999, ISBN 5-06-003612-X). I. I. Privalov, Boundary Properties of Analytic Functions, 2nd ed., GITTL, Moscow-Leningrad, 1950.

Illustrations

Worked examples

Example 1 — a first encounter with Ivan Privalov

Start with the simplest possible case. Write down what Ivan Privalov 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 Ivan Privalov 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 Ivan Privalov 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 Ivan Privalov

In research: Ivan Privalov 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 Ivan Privalov 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: Ivan Privalov is common in secondary-school and first-year university syllabi. It links to neighbouring topics 1891 births, 1941 deaths, 20th-century Russian mathematicians, so understanding it makes those chapters shorter.
In everyday life: Look for Ivan Privalov 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.

Ask Teacher Smith questions about this articleOpens your AI tutor with a question about “Ivan Privalov” →

Affiliate

Preply — study more efficiently by working with a personal tutor. 50% off.

How to study Ivan Privalov in 20 minutes

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

Frequently asked questions

What is Ivan Privalov in simple terms?

Ivan Ivanovich Privalov (Russian: Ива́н Ива́нович Привáлов; 11 February 1891 – 13 July 1941) was a Soviet and Russian mathematician best known for his work on analytic functions. Biography Privalov graduated from Moscow State University (MSU) in 1913 studying under Dmitri Egorov and Nikolai Luzin.

Why does Ivan Privalov 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 Ivan Privalov?

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 Ivan Privalov.