astronomy

Sydney Goldstein

Sydney 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 Sydney Goldstein rather than just read about it. In short: Sydney Goldstein FRS (3 December 1903 – 22 January 1989) was a British mathematician noted for his contribution to fluid dynamics. He is described as: "... one of those who most influenced progress in fluid dynamics during the 20th century." He was especially known for his work on steady-flow laminar boundary-layer equations and on the turbulent resistance to rotation of a disk in a fluid.

Key takeaways

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

Reference excerpt

Sydney Goldstein FRS (3 December 1903 – 22 January 1989) was a British mathematician noted for his contribution to fluid dynamics. He is described as: "... one of those who most influenced progress in fluid dynamics during the 20th century." He was especially known for his work on steady-flow laminar boundary-layer equations and on the turbulent resistance to rotation of a disk in a fluid. Goldstein was extremely knowledgeable on aerodynamics and his work had a significant impact in that area.

Early life Goldstein was born into the Jewish community of Hull, where his family ran a furniture store. After his mother died he moved to live with an aunt and attended Bede Collegiate School in Sunderland. At the University of Leeds in 1921 he studied mathematics, but was to move to St John's College, Cambridge, graduating from the Mathematical Tripos in 1925 and gaining the Smith's Prize in 1927. He was awarded an Isaac Newton Studentship to continue research in applied mathematics under Harold Jeffreys. His 1928 PhD thesis was entitled The Theory And Application Of Mathieu Functions.

Career He was appointed Rockefeller Research Fellow and spent a year working in University of Göttingen. In 1929 he became a fellow of St John's College but later the same year was appointed to a lectureship in Mathematics at the University of Manchester. At Manchester the influence of Osborne Reynolds and Horace Lamb in fluid dynamics was still felt there and had a strong effect on Goldstein. Moving to Cambridge in 1931 he took over the editorship of Modern Developments in Fluid Dynamics on Lamb's death. During World War II Goldstein worked on boundary layer theory at the National Physical Laboratory and at the end of the war he was appointed to the Beyer Chair of Applied Mathematics in Manchester. He was elected to the membership of Manchester Literary and Philosophical Society in 1947. Goldstein strongly supported the State of Israel and in 1950 he accepted the chairmanship of the department of mathematics at Technion – Israel Institute of Technology. Having made a major contribution to the establishment of the Technion, he found the administrative load too heavy and moved again, accepting the chair of Gordon McKay Professor of Applied Mathematics at Harvard University in 1954. He retired in 1968 but continued as an emeritus professor at Harvard.

Honours Mayhew Prize, 1925 Smith's Prize, 1927 Adams Prize, 1935 Fellow of the Royal Society, 1937 Worked at the Aerodynamics Division, National Physical Laboratory, 1939–45 Chairman, Aeronautical Research Council, 1946–49 Foreign Member, Royal Netherlands Academy of Sciences and Letters (Section for Sciences), 1950 Plenary Speaker, International Congress of Mathematicians, 1954 Timoshenko Medal, 1965 Foreign Member, Finnish Scientific Society (Section for maths and physics), 1975

Selected publications Modern Developments in Fluid Dynamics, 1938. (Editor) Lectures on Fluid Mechanics, 1960.

Worked examples

Example 1 — a first encounter with Sydney Goldstein

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

In research: Sydney 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 Sydney 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: Sydney Goldstein is common in secondary-school and first-year university syllabi. It links to neighbouring topics 1903 births, 1989 deaths, 20th-century English Jews, so understanding it makes those chapters shorter.
In everyday life: Look for Sydney 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.

Ask Teacher Smith questions about this articleOpens your AI tutor with a question about “Sydney Goldstein” →

Affiliate

Preply — study more efficiently by working with a personal tutor. 50% off.

How to study Sydney Goldstein in 20 minutes

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

Frequently asked questions

What is Sydney Goldstein in simple terms?

Why does Sydney 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 Sydney 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 Sydney Goldstein.