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Richard K. Guy

Richard K. Guy 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 Richard K. Guy rather than just read about it. In short: Richard Kenneth Guy (30 September 1916 – 9 March 2020) was a British mathematician. He was a professor in the Department of Mathematics at the University of Calgary.

Richard K. Guy — main illustration
Richard K. Guy — illustration

Key takeaways

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

Reference excerpt

Richard Kenneth Guy (30 September 1916 – 9 March 2020) was a British mathematician. He was a professor in the Department of Mathematics at the University of Calgary. He is known for his work in number theory, geometry, recreational mathematics, combinatorics, and graph theory. He is best known for co-authorship (with John Conway and Elwyn Berlekamp) of Winning Ways for your Mathematical Plays and authorship of Unsolved Problems in Number Theory. He published more than 300 scholarly articles. Guy proposed the partially tongue-in-cheek "strong law of small numbers", which says there are not enough small integers available for the many tasks assigned to them – thus explaining many coincidences and patterns found among numerous cultures. For this paper he received the MAA Lester R. Ford Award in 1989.

Biography

Early life Guy was born 30 September 1916 in Nuneaton, Warwickshire, England, to Adeline Augusta Tanner and William Alexander Charles Guy. Both of his parents were teachers, rising to the rank of headmistress and headmaster, respectively. He attended Warwick School for Boys, the third oldest school in Britain, but was not enthusiastic about most of the curriculum. He was good at sports and excelled in mathematics. At the age of 17 he read Dickson's History of the Theory of Numbers. He said it was better than "the whole works of Shakespeare", solidifying his lifelong interest in mathematics. In 1935 Guy entered Gonville and Caius College, Cambridge, as a result of winning several scholarships. To win the most important of these he had to travel to Cambridge and write exams for two days. His interest in games began while at Cambridge where he became an avid composer of chess problems. In 1938, he was graduated with a second-class honours degree; he would later state that his failure to get a first may have been related to his obsession with chess. Although his parents strongly advised against it, Guy decided to become a teacher and got a teaching diploma at the University of Birmingham. He met his future wife, Nancy Louise Thirian, through her brother Michael, who was a fellow scholarship winner at Gonville and Caius. He and Louise shared loves of mountain climbing and dancing. They married in December 1940.

War years In November 1942, Guy received an emergency commission in the Meteorological Branch of the Royal Air Force, with the rank of flight lieutenant. He was posted to Reykjavík, and later to Bermuda, as a meteorologist. He tried to get permission for Louise to join him but was refused. While in Iceland, he did some glacier travel, skiing, and mountain climbing, marking the beginning of another long love affair, this one with snow and ice. When Guy returned to England after the war, he went back to teaching, this time at Stockport Grammar School, but stayed only two years. In 1947 the family moved to London, where he got a job teaching mathematics at Goldsmiths' College.

Later life and death In 1951 he moved to Singapore, where he taught at the University of Malaya until 1962. He then spent a few years at the Indian Institute of Technology in Delhi, India. While they were in India, he and Louise went mountaineering in the foothills of the Himalayas. Guy moved to Canada in 1965, settling down at the University of Calgary in Alberta, where he obtained a professorship. Although he officially retired in 1982, he still went to the office five days a week to work, even as he passed the age of 100. Along with George Thomas and John Selfridge, Guy taught at Canada/USA Mathcamp during its early years. In 1991 the University of Calgary awarded him an honorary doctorate. Guy said that they gave him the degree out of embarrassment, although the university stated that "his extensive research efforts and prolific writings in the field of number theory and combinatorics have added much to the underpinnings of game theory and its extensive application to many forms of human activity." Guy and his wife Louise (who died in 2010) remained very committed to mountain hiking and environmentalism even in their later years. In 2014, he donated $100,000 to the Alpine Club of Canada for the training of amateur leaders. In turn, the Alpine Club has honoured them by building the Louise and Richard Guy Hut near the base of Mont des Poilus. They had three children, among them computer scientist and mathematician Michael J. T. Guy. Guy died on 9 March 2020 at the age of 103.

Mathematics

… excerpt ends here. Continue reading the full article.

Illustrations

Richard K. Guy illustration

Worked examples

Example 1 — a first encounter with Richard K. Guy

Start with the simplest possible case. Write down what Richard K. Guy 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 Richard K. Guy 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 Richard K. Guy 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 Richard K. Guy

In research
Richard K. Guy 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 Richard K. Guy 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
Richard K. Guy is common in secondary-school and first-year university syllabi. It links to neighbouring topics 1916 births, 2020 deaths, 20th-century English mathematicians, so understanding it makes those chapters shorter.
In everyday life
Look for Richard K. Guy 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 Richard K. Guy in 20 minutes

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

Frequently asked questions

What is Richard K. Guy in simple terms?

Richard Kenneth Guy (30 September 1916 – 9 March 2020) was a British mathematician. He was a professor in the Department of Mathematics at the University of Calgary.

Why does Richard K. Guy 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 Richard K. Guy?

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 Richard K. Guy.

Tags

  • 1916 births
  • 2020 deaths
  • 20th-century English mathematicians
  • 21st-century English mathematicians
  • Academic staff of IIT Delhi
  • Academic staff of the National University of Singapore
  • Academic staff of the University of Calgary
  • Academics of the University of London
  • Alumni of Gonville and Caius College, Cambridge
  • British expatriates in Singapore
  • British men centenarians
  • British number theorists

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