mathematics

Gregory Beylkin

Gregory Beylkin 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 Gregory Beylkin rather than just read about it. In short: Gregory Beylkin (born 16 March 1953) is a Russian–American mathematician. Education and career He studied from 1970 to 1975 at the University of Leningrad, with Diploma in Mathematics in November 1975.

Key takeaways

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

Reference excerpt

Gregory Beylkin (born 16 March 1953) is a Russian–American mathematician.

Education and career He studied from 1970 to 1975 at the University of Leningrad, with Diploma in Mathematics in November 1975. From 1976 to 1979 he was a research scientist at the Research Institute of Ore Geophysics, Leningrad. From 1980 to 1982 he was a graduate student at New York University, where he received his PhD under the supervision of Peter Lax. From 1982 to 1983 Beylkin was an associate research scientist at the Courant Institute of Mathematical Sciences. From 1983 to 1991 he was a member of the professional staff of Schlumberger-Doll Research in Ridgefield, Connecticut. Since 1991 he has been a professor in the Department of Applied Mathematics at the University of Colorado Boulder. He was a visiting professor at Yale University, the University of Minnesota, and the Mittag-Leffler Institute and participated in 2012 and 2015 in the summer seminar on "Applied Harmonic Analysis and Sparse Approximation" at Oberwolfach. He is the author or co-author of over 100 articles in refereed journal and has served on several editorial boards.

Gregory Beylkin's research is focused on analysis and development of fast algorithms for solving integral and differential equations. Applications include quantum chemistry, gravity field evaluation and estimation, wave propagation and inverse problems. A number of algorithms developed by Gregory Beylkin and his group have been implemented and are used in practical applications.

Awards and honors 1998 — Invited Speaker of the International Congress of Mathematicians 2012 — Fellow of the American Mathematical Society 2016 — Fellow of the Society for Industrial and Applied Mathematics

Patents Beylkin, Gregory (July 26, 1988). "Seismic exploration using exactly invertible discrete transformation into tau-p space, U.S. Patent 4,760,563". Beylkin, Gregory (September 13, 2007). "Method and Apparatus for Efficient Data Acquisition and Interpolation, U.S. Patent 20070214202A1".

See also Fast wavelet transform § Further reading

References

External links "Gregory Beylkin, Papers and Preprints (online)". amath.colorado.edu.

Worked examples

Example 1 — a first encounter with Gregory Beylkin

Start with the simplest possible case. Write down what Gregory Beylkin 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 Gregory Beylkin 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 Gregory Beylkin 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 Gregory Beylkin

In research: Gregory Beylkin 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 Gregory Beylkin 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: Gregory Beylkin is common in secondary-school and first-year university syllabi. It links to neighbouring topics 1953 births, 20th-century American mathematicians, 20th-century Russian mathematicians, so understanding it makes those chapters shorter.
In everyday life: Look for Gregory Beylkin 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 Gregory Beylkin in 20 minutes

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

Frequently asked questions

What is Gregory Beylkin in simple terms?

Gregory Beylkin (born 16 March 1953) is a Russian–American mathematician. Education and career He studied from 1970 to 1975 at the University of Leningrad, with Diploma in Mathematics in November 1975.

Why does Gregory Beylkin 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 Gregory Beylkin?

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 Gregory Beylkin.