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Harold Jeffreys

Harold Jeffreys 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 Harold Jeffreys rather than just read about it. In short: Sir Harold Jeffreys, FRS (22 April 1891 – 18 March 1989) was a British geophysicist who made significant contributions to mathematics and statistics. His book, Theory of Probability, which was first published in 1939, played an important role in the revival of the objective Bayesian view of probability.

Harold Jeffreys — main illustration
Harold Jeffreys — illustration

Key takeaways

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

Reference excerpt

Sir Harold Jeffreys, FRS (22 April 1891 – 18 March 1989) was a British geophysicist who made significant contributions to mathematics and statistics. His book, Theory of Probability, which was first published in 1939, played an important role in the revival of the objective Bayesian view of probability.

Education Jeffreys was born in Fatfield, County Durham, England, the son of Robert Hal Jeffreys, headmaster of Fatfield Church School, and his wife, Elizabeth Mary Sharpe, a school teacher. He was educated at his father's school and at Rutherford Technical College, then studied at Armstrong College in Newcastle upon Tyne (at that time part of the University of Durham) and with the University of London External Programme. Jeffreys subsequently won a scholarship to study the Mathematical Tripos at St John's College, Cambridge, where he established a reputation as an excellent student: obtaining first-class marks for his papers in Part One of the Tripos, he was a Wrangler in Part Two, and in 1915 he was awarded the prestigious Smith's Prize.

Career Jeffreys became a fellow of St John's College in 1914, retaining his fellowship until his death 75 years later. At the University of Cambridge he taught mathematics, then geophysics and finally became the Plumian Professor of Astronomy. In 6 September 1940, he married fellow mathematician and physicist, Bertha Swirles (1903–1999), and together they wrote Methods of Mathematical Physics. One of his major contributions was on the Bayesian approach to probability (also see Jeffreys prior), as well as the idea that the Earth's planetary core was liquid. By 1924 Jeffreys had developed a general method of approximating solutions to linear, second-order differential equations, including the Schrödinger equation. Although the Schrödinger equation was developed two years later, Wentzel, Kramers, and Brillouin were apparently unaware of this earlier work, so Jeffreys is often neglected when credit is given for the WKB approximation. Jeffreys received the Gold Medal of the Royal Astronomical Society in 1937, the Royal Society's Copley Medal in 1960, and the Royal Statistical Society's Guy Medal in Gold in 1962. In 1948, he received the Charles Lagrange Prize from the Académie royale des Sciences, des Lettres et des Beaux-Arts de Belgique. He was knighted in 1953. From 1939 to 1952 he was established as Director of the International Seismological Summary further known as International Seismological Centre. The textbook Probability Theory: The Logic of Science, written by the physicist and probability theorist Edwin T. Jaynes, is dedicated to Jeffreys. The dedication reads, "Dedicated to the memory of Sir Harold Jeffreys, who saw the truth and preserved it." An appendix to the third edition of Jeffreys' book Scientific Inference explains Mary Cartwright's method of proving that the number π is irrational.

Opposition to continental drift and plate tectonics Jeffreys, like many of his peers, staunchly opposed the concept of continental drift as put forth by Alfred Wegener and Arthur Holmes. This opposition persisted even into the 1960s among his colleagues at Cambridge. For him, continental drift was "out of the question" because no force even remotely strong enough to move the continents across the Earth's surface was evident. As geological and geophysical evidence for continental drift and plate tectonics mounted in the 1960s and after, to the point where it became the unifying concept of modern geology, Jeffreys remained a stubborn opponent of the theory to his death.

Honours and awards Fellow, Royal Society, 1925 Adams Prize, 1927 (Constitution of the Earth) Gold Medal, Royal Astronomical Society, 1937 Buchan Prize, Royal Meteorological Society, 1929 Murchison Medal of Geological Society (Great Britain) 1939 Victoria Medal, Royal Geographical Society, 1941 Charles Lagrange Prize, Brussels Academy, 1948 Royal Medal, 1948 William Bowie Medal, American Geophysical Union, 1952 Knighted, 1953 Copley Medal, Royal Society, 1961 Vetlesen Prize, 1962

Bibliography 1924: The Earth, Its Origin, History and Physical Constitution, Cambridge University Press; 5th edn. 1970; 6th edn. 1976 1927: Operational Methods in Mathematical Physics, Cambridge University Press via Internet Archive, Review: 1929: The Future of the Earth, Norton & Company 1931: Scientific Inference, Macmillan Publishers; 2nd edn. 1937; 3rd edn. 1973 1931: Cartesian Tensors. Cambridge University Press; 2nd edn. 1961 1934: Ocean Waves and Kindred Geophysical Phenomena, with Vaughan Cornish, Cambridge University Press 1935: Earthquakes and Mountains, Methuen Publishing; 2nd edn. 1950 1939: Theory of Probability, Clarendon Press, Oxford; 2nd edn. 1948; 3rd edn. 1961 1946: Methods of Mathematical Physics, with Bertha S. Jeffreys. Cambridge University Press; 2nd edn. 1950; 3rd edn. 1956; corrected 3rd edn. 1966 1962: Asymptotic Approximations, Clarendon Press, Oxford 1963: Nutation and Forced Motion of the Earth's Pole from the Data of Latitude Observations, Macmillan 1971–77: Collected Papers of Sir Harold Jeffreys on Geophysics and Other Sciences, Gordon and Breach

References

Further reading Aldrich, John (2005). "The Statistical Education of Harold Jeffreys". International Statistical Review. 73 (3): 289–308. Galavotti, Maria Carla (2003). "Harold Jeffreys' Probabilistic Epistemology: Between Logicism And Subjectivism". British Journal for the Philosophy of Science. 54 (1): 43–57. doi:10.1093/bjps/54.1.43. (A review of Jeffreys' approach to probability; includes remarks on R.A. Fisher, Frank P. Ramsey, and Bruno de Finetti. Howie, David (2002). Interpreting Probability: Controversies and Developments in the Early Twentieth Century. New York: Cambridge University Press. ISBN 0-521-81251-8. Swirles, Bertha (1992). "Reminiscences and Discoveries: Harold Jeffreys from 1891 to 1940". Notes Rec. R. Soc. Lond. 46 (2): 301–308. doi:10.1098/rsnr.1992.0028. JSTOR 531640. S2CID 144873990.

External links Works by or about Harold Jeffreys at the Internet Archive Photographs of Harold Jeffreys at Emilio Segrè Visual Archives, American Institute of Physics. Biography of Vetlesen Prize Winner – Sir Harold Jeffreys Harold Jeffreys as a Statistician

Illustrations

Harold Jeffreys illustration
Harold Jeffreys: Plaque to Sir Harold Jeffreys, Newcastle University
Plaque to Sir Harold Jeffreys, Newcastle University

Worked examples

Example 1 — a first encounter with Harold Jeffreys

Start with the simplest possible case. Write down what Harold Jeffreys 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 Harold Jeffreys 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 Harold Jeffreys 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 Harold Jeffreys

In research
Harold Jeffreys 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 Harold Jeffreys 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
Harold Jeffreys is common in secondary-school and first-year university syllabi. It links to neighbouring topics 1891 births, 1989 deaths, 20th-century British astronomers, so understanding it makes those chapters shorter.
In everyday life
Look for Harold Jeffreys 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 Harold Jeffreys in 20 minutes

  1. Read the reference excerpt below once, without taking notes.
  2. Close the page and write down what Harold Jeffreys means in your own words.
  3. Compare your version with the excerpt and mark what you missed.
  4. Work through the three examples above with pen and paper.
  5. Explain Harold Jeffreys out loud to somebody else — or to Teacher Smith in the lgStudy chat.

Frequently asked questions

What is Harold Jeffreys in simple terms?

Sir Harold Jeffreys, FRS (22 April 1891 – 18 March 1989) was a British geophysicist who made significant contributions to mathematics and statistics. His book, Theory of Probability, which was first published in 1939, played an important role in the revival of the objective Bayesian view of probabi…

Why does Harold Jeffreys 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 Harold Jeffreys?

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 Harold Jeffreys.

Tags

  • 1891 births
  • 1989 deaths
  • 20th-century British astronomers
  • 20th-century British statisticians
  • 20th-century English mathematicians
  • Alumni of Armstrong College, Durham
  • Alumni of St John's College, Cambridge
  • Alumni of University of London Worldwide
  • Alumni of the University of London
  • Analysands of Ernest Jones
  • Bayesian statisticians
  • British fellows of the Royal Society

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