mathematics

Nikolai Piskunov

Nikolai Piskunov 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 Nikolai Piskunov rather than just read about it. In short: Nikolai Semenovich Piskunov (Russian: Пискунов, Николай Семенович) (9 May 1908 – 1977) was a Soviet mathematician working mainly in the field of partial differential equations. He is known for the Kolmogorov–Petrovsky–Piskunov equation, a key model in mathematical population dynamics, and his textbook on differential and integral calculus which was used at many technical universities and was translated into several…

Key takeaways

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

Reference excerpt

Nikolai Semenovich Piskunov (Russian: Пискунов, Николай Семенович) (9 May 1908 – 1977) was a Soviet mathematician working mainly in the field of partial differential equations. He is known for the Kolmogorov–Petrovsky–Piskunov equation, a key model in mathematical population dynamics, and his textbook on differential and integral calculus which was used at many technical universities and was translated into several languages.

Life He was born in Froltsovo (Ivanovo Oblast) and graduated from Yaroslavl State Pedagogical University in 1929. He received his Doctor of Sciences in 1939. From 1941 he worked at the Steklov Institute of Mathematics of the Academy of Sciences of the Soviet Union. He is a Honored Scientist of the RSFSR (1965).

Legacy The Faculty of Engineering of the National University of Asunción (FIUNA) awards the Piskunov Prize since 2019 to the best two students at the faculty.

Selected publications Piskunov, Nikolai (1965). Differential and Integral Calculus. P. Noordhoff. 29 publications including 14 books according to Zentralblatt MATH [1]

References

Worked examples

Example 1 — a first encounter with Nikolai Piskunov

Start with the simplest possible case. Write down what Nikolai Piskunov 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 Nikolai Piskunov 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 Nikolai Piskunov 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 Nikolai Piskunov

In research: Nikolai Piskunov 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 Nikolai Piskunov 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: Nikolai Piskunov is common in secondary-school and first-year university syllabi. It links to neighbouring topics 1908 births, 1977 deaths, 20th-century Russian mathematicians, so understanding it makes those chapters shorter.
In everyday life: Look for Nikolai Piskunov 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 Nikolai Piskunov in 20 minutes

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

Frequently asked questions

What is Nikolai Piskunov in simple terms?

Why does Nikolai Piskunov 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 Nikolai Piskunov?

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 Nikolai Piskunov.