mathematics

Roger Jones (mathematician)

Roger Jones (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 Roger Jones (mathematician) rather than just read about it. In short: Roger L. Jones is an American mathematician specializing in harmonic analysis and ergodic theory.

Key takeaways

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

Reference excerpt

Roger L. Jones is an American mathematician specializing in harmonic analysis and ergodic theory.

Biography He obtained a B.S. in mathematics in 1971 from University at Albany, SUNY, and a Ph.D. in mathematics in 1974 from Rutgers University, with thesis Inequalities for the Ergodic Maximal Function written under the direction of Richard Floyd Gundy. He has recently retired from a professorship in mathematics at DePaul University in Chicago. There he taught everything from remedial math to graduate-level courses. During his tenure at DePaul, Roger published numerous research papers in math, was awarded an excellence in teaching award, chaired the DePaul University Mathematics Department, and was awarded National Science Foundation grants related to teaching mathematics. He has also worked with the Chicago Public Schools on improving math instruction. Roger was honored for his research work at the International Conference on Harmonic Analysis and Ergodic theory that was held in the name of Roger and his colleague Marshall Ash. Roger has since retired from teaching at DePaul and moved to Northern Wisconsin, where he teaches mathematics at Conserve School.

Appointments 1974-1977: DePaul University, Assistant Professor 1977-1984: DePaul University, Associate Professor 1982-1985: DePaul University, Chairman: Department of Mathematics 1984-2004: DePaul University, Professor 2004–present: DePaul University, Professor Emeritus

Professional memberships Mathematical Association of America American Mathematical Society

Publications Bellow, Alexandra; Jones, Roger; Rosenblatt, Joseph (1990). "Convergence for moving averages". Ergodic Theory and Dynamical Systems. 10 (1): 43–62. doi:10.1017/s0143385700005381. MR 1053798. Bellow, Alexandra; Jones, Roger L., eds. (1991). Almost Everywhere Convergence II. Proceedings of the Second International Conference on Almost Everywhere Convergence in Probability and Ergodic Theory held at Northwestern University, Evanston, Illinois, October 16–20, 1989. Boston, MA: Academic Press. doi:10.1016/c2013-0-10351-0. ISBN 9780120855209. MR 1131778. Bellow, Alexandra; Akcoglu, Mustafa; Jones, Roger; Losert, Viktor; Reinhold-Larsson, Karin; Wierdl, Máté (1996). "The strong sweeping out property for lacunary sequences, Riemann sums, convolution powers and related matters". Ergodic Theory and Dynamical Systems. 16 (2): 207–253. doi:10.1017/S0143385700008798. MR 1389623. S2CID 120207520.

References

External links Roger Jones' DePaul Syllabus Conference on Harmonic Analysis and Ergodic Theory

Worked examples

Example 1 — a first encounter with Roger Jones (mathematician)

Start with the simplest possible case. Write down what Roger Jones (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 Roger Jones (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 Roger Jones (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 Roger Jones (mathematician)

In research: Roger Jones (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 Roger Jones (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: Roger Jones (mathematician) is common in secondary-school and first-year university syllabi. It links to neighbouring topics 20th-century American mathematicians, 21st-century American mathematicians, American mathematical analysts, so understanding it makes those chapters shorter.
In everyday life: Look for Roger Jones (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 Roger Jones (mathematician) in 20 minutes

Read the reference excerpt below once, without taking notes.
Close the page and write down what Roger Jones (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.
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Frequently asked questions

What is Roger Jones (mathematician) in simple terms?

Roger L. Jones is an American mathematician specializing in harmonic analysis and ergodic theory.

Why does Roger Jones (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 Roger Jones (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 Roger Jones (mathematician).