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L. M. Milne-Thomson

L. M. Milne-Thomson 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 L. M. Milne-Thomson rather than just read about it. In short: Louis Melville Milne-Thomson CBE FRSE RAS (1 May 1891 – 21 August 1974) was an English applied mathematician who wrote several classic textbooks on applied mathematics, including The Calculus of Finite Differences, Theoretical Hydrodynamics, and Theoretical Aerodynamics. He is also known for developing several mathematical tables such as Jacobian Elliptic Function Tables.

Key takeaways

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

Reference excerpt

Louis Melville Milne-Thomson CBE FRSE RAS (1 May 1891 – 21 August 1974) was an English applied mathematician who wrote several classic textbooks on applied mathematics, including The Calculus of Finite Differences, Theoretical Hydrodynamics, and Theoretical Aerodynamics. He is also known for developing several mathematical tables such as Jacobian Elliptic Function Tables. The Milne-Thomson circle theorem and the Milne-Thomson method for finding a holomorphic function are named after him. Milne-Thomson was made a Commander of the Order of the British Empire (CBE) in 1952.

Early years and career Milne-Thomson was born in Ealing, London, England on 1 May 1891 to Colonel Alexander Milne-Thomson, a physician and Eva Mary Milne, the daughter of the Revd J. Milne. He was the eldest of his parents' sons. He studied at Clifton College in Bristol as a classical scholar for three years. After securing a scholarship, Milne-Thomson joined Corpus Christi College, Cambridge in 1909 and received part I of the Mathematical Tripos in 1911. He graduated with distinction as a Wrangler in 1913. In 1914 Milne-Thomson joined Winchester College in Hampshire as an assistant mathematics master and taught there for next seven years. In 1921 he was appointed professor of mathematics at the Royal Naval College, Greenwich and remained there until retirement at the age of 65. In 1933 he was elected a Fellow of the Royal Society of Edinburgh. His proposers were Bevan Baker, John Marshall, Edward Thomas Copson, and Herbert Turnbull. After retiring from the Royal Naval College, Milne-Thomson took up various posts as Visiting Professor at various institutions around the world, including the Brown University at Rhode Island, the US Army Mathematics Research Center at the University of Wisconsin (1958–1960), the University of Arizona (1961–1970), University of Rome (1968), the University of Queensland (1969), the University of Calgary (1970), and finally the University of Otago (1971). At the end of a long career Milne-Thomson quit academia in 1971 and went to live in Sevenoaks, Kent where he died at the age of 83.

Work During the early stages of his career, he developed and compiled several mathematical tables such as the Standard Four Figure Mathematical Tables jointly constructed with L. J. Comrie and published in 1931, Standard Table of Square Roots (1932), and Jacobian Elliptic Function Tables (1932). Later, Milne-Thomson wrote the chapters on Elliptic Integrals and Jacobian Elliptic Functions in the classic NBS AMS 55 handbook. In 1933 Milne-Thomson published his first book, The Calculus of Finite Differences which became a classic textbook and the original text was reprinted in 1951. In the mid 1930s, Milne-Thomson developed an interest in hydrodynamics and later in aerodynamics. This led to publication of two popular textbooks titled Theoretical Hydrodynamics and Theoretical Aerodynamics. The Theoretical Hydrodynamics published by Macmillan & Co. Ltd., London, appeared in 1938 and more material based on his own research was added in the subsequent editions of this classic book. The fifth edition appeared thirty years later in 1968. The book was republished by Dover Publications in 1996. Similarly, Theoretical Aerodynamics, first published in 1948, went through a number of editions with the fourth appearing in 1968.

References

External links O'Connor, John J.; Robertson, Edmund F., "L. M. Milne-Thomson", MacTutor History of Mathematics Archive, University of St Andrews L. M. Milne-Thomson at the Mathematics Genealogy Project

Worked examples

Example 1 — a first encounter with L. M. Milne-Thomson

Start with the simplest possible case. Write down what L. M. Milne-Thomson 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 L. M. Milne-Thomson 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 L. M. Milne-Thomson 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 L. M. Milne-Thomson

In research
L. M. Milne-Thomson 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 L. M. Milne-Thomson 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
L. M. Milne-Thomson is common in secondary-school and first-year university syllabi. It links to neighbouring topics 1891 births, 1974 deaths, Academics of Gresham College, so understanding it makes those chapters shorter.
In everyday life
Look for L. M. Milne-Thomson 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 L. M. Milne-Thomson in 20 minutes

  1. Read the reference excerpt below once, without taking notes.
  2. Close the page and write down what L. M. Milne-Thomson 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 L. M. Milne-Thomson out loud to somebody else — or to Teacher Smith in the lgStudy chat.

Frequently asked questions

What is L. M. Milne-Thomson in simple terms?

Louis Melville Milne-Thomson CBE FRSE RAS (1 May 1891 – 21 August 1974) was an English applied mathematician who wrote several classic textbooks on applied mathematics, including The Calculus of Finite Differences, Theoretical Hydrodynamics, and Theoretical Aerodynamics. He is also known for develo…

Why does L. M. Milne-Thomson 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 L. M. Milne-Thomson?

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 L. M. Milne-Thomson.

Tags

  • 1891 births
  • 1974 deaths
  • Academics of Gresham College
  • British fluid dynamicists
  • Commanders of the Order of the British Empire
  • English mathematicians
  • Teachers at Winchester College
  • University of Arizona faculty

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