mathematics

Vladimir Smirnov (mathematician)

Vladimir Smirnov (mathematician) 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 Smirnov (mathematician) rather than just read about it. In short: Vladimir Ivanovich Smirnov (Russian: Влади́мир Ива́нович Смирно́в; 10 June 1887 – 11 February 1974) was a Soviet mathematician who made significant contributions in both pure and applied mathematics, and also in the history of mathematics. Smirnov worked on diverse areas of mathematics, such as complex functions and conjugate functions in Euclidean spaces.

Key takeaways

Vladimir Smirnov (mathematician) 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 Smirnov (mathematician) to a quantity you can measure, compute or draw — that is where exam questions come from.
Reproduce the core statement of Vladimir Smirnov (mathematician) from memory before moving on to harder problems.

Reference excerpt

Vladimir Ivanovich Smirnov (Russian: Влади́мир Ива́нович Смирно́в; 10 June 1887 – 11 February 1974) was a Soviet mathematician who made significant contributions in both pure and applied mathematics, and also in the history of mathematics. Smirnov worked on diverse areas of mathematics, such as complex functions and conjugate functions in Euclidean spaces. In the applied field his work includes the propagation of waves in elastic media with plane boundaries (with Sergei Sobolev) and the oscillations of elastic spheres. His pioneering approach to solving the initial-boundary value problem to the wave equation formed the basis of the spacetime triangle diagram (STTD) technique for wave motion developed by his follower Victor Borisov (also known as the Smirnov method of incomplete separation of variables). Smirnov was a Ph.D. student of Vladimir Steklov. Among his notable students were Sergei Sobolev, Solomon Mikhlin and Nobel prize winner Leonid Kantorovich.

Smirnov is also widely known among students for his five volume series (in seven books) A Course in Higher Mathematics (Курс высшей математики) (the first volume was written jointly with Jacob Tamarkin).

References

External links

Vladimir Smirnov at the Mathematics Genealogy Project O'Connor, John J.; Robertson, Edmund F., "Vladimir Smirnov", MacTutor History of Mathematics Archive, University of St Andrews

Illustrations

Worked examples

Example 1 — a first encounter with Vladimir Smirnov (mathematician)

Start with the simplest possible case. Write down what Vladimir Smirnov (mathematician) 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 Smirnov (mathematician) 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 Smirnov (mathematician) 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 Smirnov (mathematician)

In research: Vladimir Smirnov (mathematician) 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 Smirnov (mathematician) 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 Smirnov (mathematician) is common in secondary-school and first-year university syllabi. It links to neighbouring topics 1887 births, 1974 deaths, 20th-century Russian mathematicians, so understanding it makes those chapters shorter.
In everyday life: Look for Vladimir Smirnov (mathematician) 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 Smirnov (mathematician) in 20 minutes

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

Frequently asked questions

What is Vladimir Smirnov (mathematician) in simple terms?

Why does Vladimir Smirnov (mathematician) 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 Smirnov (mathematician)?

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 Smirnov (mathematician).