astronomy

Vladimir Gerdt

Vladimir Gerdt 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 Vladimir Gerdt rather than just read about it. In short: Vladimir P. Gerdt (21 January 1947 – January 5, 2021) was a Russian mathematician and a full professor at the Joint Institute for Nuclear Research (JINR) where he was the head of the Group of Algebraic and Quantum Computations.

Key takeaways

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

Reference excerpt

Vladimir P. Gerdt (21 January 1947 – January 5, 2021) was a Russian mathematician and a full professor at the Joint Institute for Nuclear Research (JINR) where he was the head of the Group of Algebraic and Quantum Computations. His research interests were concentrated in computer algebra, symbolic and algebraic computations, algebraic and numerical analysis of nonlinear differential equations, polynomial equations, applications to mathematics and physics, and quantum computation with over 210 published articles.

Biography Gerdt, who was born in Engels, earned his MSc in theoretical physics from Saratov State University in 1971, his PhD in theoretical and mathematical physics from JINR in 1976, and his D.Sc. in mathematics and computer science from JINR in 1992. He also did graduate studies in theoretical physics at the Lomonosov Moscow State University (1969-1971). After his MSc he worked as an engineer-programmer (1971-1975) and as a junior researcher (1975-1977) at the JINR Department of Radiation Safety developing software for neutron spectroscopy. In 1977 he moved to the JINR Laboratory of Computing Techniques and Automation renamed in 2000 as Laboratory of Information Technologies for doing research in computer algebra. He worked as a researcher (1977-1980) and as a senior researcher (1980-1983), and since 1983 as the head of the research group on computer algebra, currently the Group of Algebraic and Quantum Computations. Gerdt designed a number of original algorithms and software packages for the investigation of differential equations as well as for the transformation of polynomial and differential systems into the canonical involutive form that alleviates their analysis and the construction of their solutions. In the case of polynomial, differential, and difference systems their involutive form is a Gröbner basis. He was a member of the editorial board of the Journal of Symbolic Computation, the leading international journal specialized in the area of symbolic and algebraic computation, since its foundation in 1985. In 1997 he co-founded the annual international conference Computer Algebra in Scientific Computing with Ernst W. Mayr and since that time was a general chair of this conference.

Gerdt was married to Evgenia Almazova and had two sons, Anton and Peter. Gerdt died in 2020 of COVID-19.

Selected works Gerdt, Vladimir P.; Blinkov, Yuri A. (1998). "Involutive bases of polynomial ideals". Mathematics and Computers in Simulation. 45 (5): 519–541. arXiv:math/9912027. doi:10.1016/s0378-4754(97)00127-4. S2CID 10243294. Gerdt, Vladimir P. Involutive algorithms for computing Gröbner bases. Computational Commutative and Non-Commutative Algebraic Geometry, Amsterdam, IOS Press, 2005. Gerdt, Vladimir P., Yuri A. Blinkov, and Denis A. Yanovich. "Construction of Janet Bases I. Monomial Bases." Computer Algebra in Scientific Computing CASC 2001. Springer Berlin Heidelberg, 2001. 233–247. Gerdt, Vladimir P., Aleksey Y.Zharkov. "Solution of Chew-Low Equations in the Quadratic Approximation", Sov. Theor. Math. Phys. (Teor. Mat. Fiz., 52, 3, 1982, 384–392), 52, 3, 1983, 868–874. Gerdt, Vladimir P., Aleksey Y.Zharkov. "A REDUCE Package for Solving of Ordinary Differential Equations", Proceedings of the Second International Conference on Systems and Techniques of Analytical Computing and Their Applications in Theoretical Physics (Dubna, 21–23 September 1982), JINR D11-83-511, Dubna, 1983, 171–177. Gerdt, Vladimir P., Aleksey Y.Zharkov. "Iterative Method of Construction of General Solution of the Chew-Low Equation", Proceedings of the Second International Conference on Systems and Techniques of Analytical Computing and Their Applications in Theoretical Physics (Dubna, September 21–23, 1982), JINR D11-83-511, Dubna, 1983, 232–241. Gerdt, Vladimir P., Aleksey Y.Zharkov."Cubic Approximation and Local Limitations on the Functional Arbitrariness in the General Solution of the Chew-Low Equations", Sov. Theor. Math. Phys. (Teor. Mat. Fiz., 55, 3, 1983, 469–474), 52, 3, 1983, 626–639. Gerdt, Vladimir P., Aleksey Y.Zharkov. "Methods of Investigating and Solving Differential Equations by Means of Algebraic Computation", In: "Systems for Analytical Transformations in Mechanics", Gorky, 1984, 16–19.

References

Worked examples

Example 1 — a first encounter with Vladimir Gerdt

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

In research: Vladimir Gerdt 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 Vladimir Gerdt 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 Gerdt is common in secondary-school and first-year university syllabi. It links to neighbouring topics 1947 births, 2021 deaths, Deaths from the COVID-19 pandemic in Russia, so understanding it makes those chapters shorter.
In everyday life: Look for Vladimir Gerdt 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 Gerdt in 20 minutes

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

Frequently asked questions

What is Vladimir Gerdt in simple terms?

Why does Vladimir Gerdt 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 Vladimir Gerdt?

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 Gerdt.