astronomy

Pyotr Novikov

Pyotr Novikov is a astronomy 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 Pyotr Novikov rather than just read about it. In short: Pyotr Sergeyevich Novikov (Russian: Пётр Серге́евич Но́виков; 15 August 1901, Moscow – 9 January 1975, Moscow) was a Soviet mathematician known for his work in group theory. His son, Sergei Novikov, was also a mathematician.

Key takeaways

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

Reference excerpt

Pyotr Sergeyevich Novikov (Russian: Пётр Серге́евич Но́виков; 15 August 1901, Moscow – 9 January 1975, Moscow) was a Soviet mathematician known for his work in group theory. His son, Sergei Novikov, was also a mathematician.

Early life and education Pyotr Sergeyevich Novikov was born on 15 August 1901 in Moscow, Russia to Sergei Novikov, a merchant, and Alexandra Novikov. He served in the Red Army during the Russian Civil War from 1920 to July 1922. He studied at Moscow University from 1919 to 1920 and again from 1922 until he graduated in 1925. He studied under Nikolai Luzin until he finished his graduate studies in 1929.

Career Novikov worked at the Moscow D. Mendeleev Institute of Chemical Technology from 1929 until 1934, when he joined the Department of Real Function Theory at the Steklov Institute of Mathematics. He was awarded his doctorate in 1935 and promoted to full professor in 1939. Novikov became head of the Department of Analysis at the Moscow State Teachers Training Institute in 1944. In 1957, he became the first head of the Department of Mathematical Logic at the Steklov Institute. He jointly held both positions until he retired in 1972 and 1973 respectively. Sergei Adian and Albert Muchnik were among his students.

Research Novikov is known for his work on combinatorial problems in group theory: the word problem for groups, and his progress in the Burnside problem. In 1955, he proved the Novikov–Boone theorem: that there is a finite presentation of a group ⟨S | R⟩ for which there is no algorithm which, given two words u, v, decides whether u and v describe the same element in the group.

Awards and honors Novikov was elected a corresponding member and then a full member of the Academy of Sciences of the Soviet Union in 1953 and 1960, respectively. He was awarded the Lenin Prize in 1957 for proving the undecidability of the word problem in groups. He received the Order of Lenin in 1961 and again in 1971. He was awarded the Order of the Red Banner of Labour. The State Prize of the Russian Federation was awarded to Novikov posthumously in 1999.

Personal life He was married to mathematician Lyudmila Keldysh (1904–1976). Their son Sergei Novikov (1938–2024) became the first Soviet mathematician to receive the Fields Medal. He died on 9 January 1975 in Moscow.

Worked examples

Example 1 — a first encounter with Pyotr Novikov

Start with the simplest possible case. Write down what Pyotr Novikov claims or describes in one sentence, then invent the smallest concrete situation in which that sentence is true. In astronomy, 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 Pyotr Novikov 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 Pyotr Novikov 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 Pyotr Novikov

In research: Pyotr Novikov appears in astronomy 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 Pyotr Novikov 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: Pyotr Novikov is common in secondary-school and first-year university syllabi. It links to neighbouring topics 1901 births, 1975 deaths, 20th-century Russian mathematicians, so understanding it makes those chapters shorter.
In everyday life: Look for Pyotr Novikov 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 Pyotr Novikov in 20 minutes

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

Frequently asked questions

What is Pyotr Novikov in simple terms?

Why does Pyotr Novikov matter?

Because it connects several astronomy 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 Pyotr Novikov?

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 Pyotr Novikov.