astronomy

Jerome Goldstein

Jerome Goldstein 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 Jerome Goldstein rather than just read about it. In short: Jerome (Jerry) Arthur Goldstein (born August 5, 1941 in Pittsburgh, Pennsylvania) is an American mathematician whose main interests are partial differential equations, operator theory, stochastic analysis, fluid dynamics, quantum theory, and mathematical finance. Career Goldstein earned his B.S, M.S. and Ph.D. degrees at Carnegie Mellon University in 1963, 1964 and 1967.

Key takeaways

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

Reference excerpt

Jerome (Jerry) Arthur Goldstein (born August 5, 1941 in Pittsburgh, Pennsylvania) is an American mathematician whose main interests are partial differential equations, operator theory, stochastic analysis, fluid dynamics, quantum theory, and mathematical finance.

Career Goldstein earned his B.S, M.S. and Ph.D. degrees at Carnegie Mellon University in 1963, 1964 and 1967. His Ph.D. thesis Stochastic Differential Equations and Nonlinear Semigroups was supervised by Malempati M. Rao. He held appointments as Professor of Mathematics at Tulane University (1968–91), and Louisiana State University (1991–96). Since 1996 he is Professor of Mathematical Sciences at the University of Memphis. In addition, he has held visiting positions at universities in Austria, Brazil, England, France, Germany, Italy, Scotland and the United States.

Work Jerry's papers and his book on operator semigroups include fundamental contributions to his research areas. His list of publications presently includes more than 250 items. He is editor of more than 10 journals, including Semigroup Forum, Differential and Integral Equations, Advances in Differential Equations, Positivity, Journal of Evolution Equations, and Mathematische Nachrichten. Jerome Goldstein has advised 29 PhD-students and has 78 coauthors.

Awards In 2006 Goldstein received Willard R. Sparks Eminent Faculty Award from the University of Memphis, and in 2002 he was the recipient of the Distinguished Research Award from the University of Memphis. In 2004-2007 he held the Dunavant Professorship at the University of Memphis. During his years at Tulane University, Goldstein received the first Faculty Award for Excellence in Research (1985) given by Tulane University. In 2013 he became a fellow of the American Mathematical Society, for "contributions to partial differential equations and its applications, and to the dissemination of mathematics to a wider public".

References

External links Jerome Goldstein's home page

Worked examples

Example 1 — a first encounter with Jerome Goldstein

Start with the simplest possible case. Write down what Jerome Goldstein 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 Jerome Goldstein 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 Jerome Goldstein 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 Jerome Goldstein

In research: Jerome Goldstein 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 Jerome Goldstein 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: Jerome Goldstein is common in secondary-school and first-year university syllabi. It links to neighbouring topics 1941 births, Carnegie Mellon University alumni, Fellows of the American Mathematical Society, so understanding it makes those chapters shorter.
In everyday life: Look for Jerome Goldstein 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 Jerome Goldstein in 20 minutes

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

Frequently asked questions

What is Jerome Goldstein in simple terms?

Why does Jerome Goldstein 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 Jerome Goldstein?

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 Jerome Goldstein.