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Max Newman

Max Newman 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 Max Newman rather than just read about it. In short: Maxwell Herman Alexander Newman (7 February 1897 – 22 February 1984), generally known as Max Newman, was a British mathematician and codebreaker. His work in World War II led to the construction of Colossus, the world's first operational, programmable electronic computer, and he established the Royal Society Computing Machine Laboratory at the University of Manchester, which produced the world's first working, store…

Max Newman — main illustration
Max Newman — illustration

Key takeaways

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

Reference excerpt

Maxwell Herman Alexander Newman (7 February 1897 – 22 February 1984), generally known as Max Newman, was a British mathematician and codebreaker. His work in World War II led to the construction of Colossus, the world's first operational, programmable electronic computer, and he established the Royal Society Computing Machine Laboratory at the University of Manchester, which produced the world's first working, stored-program electronic computer in 1948, the Manchester Baby.

Early life and education Newman was born Maxwell Herman Alexander Neumann in Chelsea, London, England, to a Jewish family, on 7 February 1897. His father was Herman Alexander Neumann, originally from the German city of Bromberg (now in Poland), who had emigrated with his family to London at the age of 15. Herman worked as a secretary in a company, and married Sarah Ann Pike, an Irish schoolteacher, in 1896. The family moved to Dulwich in 1903, and Newman attended Goodrich Road school, then City of London School from 1908. At school, he excelled in classics and in mathematics. He played chess and the piano well. Newman won a scholarship to study mathematics at St John's College, Cambridge in 1915, and in 1916 gained a First in Part I of the Cambridge Mathematical Tripos.

World War I Newman's studies were interrupted by World War I. His father was interned as an enemy alien after the start of the war in 1914, and upon his release he returned to Germany. In 1916, Herman changed his name by deed poll to the anglicised "Newman" and Sarah did likewise in 1920. In January 1917, Newman took up a teaching post at Archbishop Holgate's Grammar School in York, leaving in April 1918. He spent some months in the Royal Army Pay Corps, and then taught at Chigwell School for six months in 1919 before returning to Cambridge. He was called up for military service in February 1918, but claimed conscientious objection due to his beliefs and his father's country of origin, and thereby avoided any direct role in the fighting.

Between the wars

Graduation Newman resumed his interrupted studies in October 1919, and graduated in 1921 as a Wrangler (equivalent to a First) in Part II of the Mathematical Tripos, and gained distinction in Schedule B (the equivalent of Part III). His dissertation considered the use of "symbolic machines" in physics, foreshadowing his later interest in computing machines.

Early academic career On 5 November 1923, Newman was elected a Fellow of St John's. He worked on the foundations of combinatorial topology, and proposed that a notion of equivalence be defined using only three elementary "moves". Newman's definition avoided difficulties that had arisen from previous definitions of the concept. Publishing over twenty papers established his reputation as an "expert in modern topology". Newman wrote Elements of the topology of plane sets of points, a work on general topology and undergraduate text. He also published papers on mathematical logic, and solved a special case of Hilbert's fifth problem. He was appointed a lecturer in mathematics at Cambridge in 1927. His 1935 lectures on the Foundations of Mathematics and Gödel's theorem inspired Alan Turing to embark on his work on the Entscheidungsproblem (decision problem) that had been posed by Hilbert and Ackermann in 1928. Turing's solution involved proposing a hypothetical programmable computing machine. In spring 1936, Newman was presented by Turing with a draft of "On Computable Numbers with an Application to the Entscheidungsproblem". He realised the paper's importance and helped ensure swift publication. Newman subsequently arranged for Turing to visit Princeton where Alonzo Church was working on the same problem but using his Lambda calculus. During this period, Newman started to share Turing's dream of building a stored-program computing machine. During this time at Cambridge, he developed close friendships with Patrick Blackett, Henry Whitehead and Lionel Penrose. In September 1937, Newman and his family accepted an invitation to work for six months at Princeton. At Princeton, he worked on the Poincaré Conjecture and, in his final weeks there, presented a proof. However, in July 1938, after he returned to Cambridge, Newman discovered that his proof was fatally flawed. In 1939, Newman was elected a Fellow of the Royal Society.

Family life In December 1934, he married Lyn Lloyd Irvine, a writer, with Patrick Blackett as best man. They had two sons, Edward (born 1935) and William (born 1939).

World War II The United Kingdom declared war on Germany on 3 September 1939. Newman's father was Jewish, which was of particular concern in the face of Nazi Germany, and Lyn, Edward and William were evacuated to America in July 1940, where they spent three years before returning to England in October 1943. After Oswald Veblen — maintaining 'that every able-bodied man ought to be carrying a gun or hand-grenade and fight for his country'— opposed moves to bring him to Princeton, Newman remained at Cambridge and at first continued research and lecturing.

Government Code and Cypher School By spring 1942, Newman was considering involvement in war work. He made enquiries. After Patrick Blackett recommended him to the Director of Naval Intelligence, Newman was sounded out by Frank Adcock in connection with the Government Code and Cypher School at Bletchley Park. Newman was cautious, concerned to ensure that the work would be sufficiently interesting and useful, and there was also the possibility that his father's German nationality would rule out any involvement in top-secret work. The potential issues were resolved by the summer, and he agreed to arrive at Bletchley Park on 31 August 1942. Newman was invited by F. L. (Peter) Lucas to work on Enigma but decided to join Tiltman's group working on Tunny.

Tunny

Newman was assigned to the Research Section and set to work on a German teleprinter cipher known as "Tunny". He joined the "Testery" in October. Newman enjoyed the company but disliked the work and found that it was not suited to his talents. He persuaded his superiors that Tutte's method could be mechanised, and he was assigned to develop a suitable machine in December 1942. Shortly afterwards, Edward Travis (then operational head of Bletchley Park) asked Newman to lead research into mechanised codebreaking.

The Newmanry

When the war ended, Newman was presented with a silver tankard inscribed 'To MHAN from the Newmanry, 1943–45'.

Heath Robinson

… excerpt ends here. Continue reading the full article.

Illustrations

Max Newman illustration

Worked examples

Example 1 — a first encounter with Max Newman

Start with the simplest possible case. Write down what Max Newman 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 Max Newman 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 Max Newman 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 Max Newman

In research
Max Newman 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 Max Newman 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
Max Newman is common in secondary-school and first-year university syllabi. It links to neighbouring topics 1897 births, 1984 deaths, 20th-century English Jews, so understanding it makes those chapters shorter.
In everyday life
Look for Max Newman 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 Max Newman in 20 minutes

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

Frequently asked questions

What is Max Newman in simple terms?

Maxwell Herman Alexander Newman (7 February 1897 – 22 February 1984), generally known as Max Newman, was a British mathematician and codebreaker. His work in World War II led to the construction of Colossus, the world's first operational, programmable electronic computer, and he established the Roy…

Why does Max Newman 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 Max Newman?

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 Max Newman.

Tags

  • 1897 births
  • 1984 deaths
  • 20th-century English Jews
  • 20th-century English mathematicians
  • 20th-century cryptographers
  • Academics of the University of Manchester
  • Alumni of St John's College, Cambridge
  • Bletchley Park people
  • British Army personnel of World War I
  • British conscientious objectors
  • British fellows of the Royal Society
  • English people of German-Jewish descent

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