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Nathan Mendelsohn

Nathan Mendelsohn 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 Nathan Mendelsohn rather than just read about it. In short: Nathan Saul Mendelsohn, (April 14, 1917 – July 4, 2006) was an American-born mathematician who lived and worked in Canada. Mendelsohn was a researcher in several areas of discrete mathematics, including group theory and combinatorics.

Nathan Mendelsohn — main illustration
Nathan Mendelsohn — illustration

Key takeaways

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

Reference excerpt

Nathan Saul Mendelsohn, (April 14, 1917 – July 4, 2006) was an American-born mathematician who lived and worked in Canada. Mendelsohn was a researcher in several areas of discrete mathematics, including group theory and combinatorics.

Early life and education Mendelsohn was born in 1917 in Brooklyn, New York City, the eldest of four children of Samuel Mendelsohn (1880–1959) and Sylvia, née Kirschenbaum (1895–1984). His paternal grandparents, Hyman Mendelsohn (1846–1928) and Hinda, née Silverstone (1859–1942) had originally immigrated to Montreal from Romania in 1898. His uncle was noted open water swimmer, Shier Mendelson. In 1918, he and his family moved to Toronto, Ontario, Canada, after a fire destroyed the tenement they were living in. Mendelsohn and his family lived in a house at 13 Euclid Avenue.

Mendelsohn completed all his education at the University of Toronto. He would have been unable to attend university had he not won a four years' tuition and books scholarship. In 1938, he was on the University of Toronto team for the first Putnam Competition, along with Irving Kaplansky and John Coleman. The team placed first and each of the three team members won fifty dollars. Mendelsohn was a junior, the other two were seniors. The subsequent year Mendelsohn was barred from competition as at that time the winning university set the examination for the next year and its students were barred from competition. Mendelsohn completed his Ph.D. dissertation in 1941. It was titled "A Group-Theoretic Characterization of the General Projective Collineation Group", and summarized in the Proceedings of the National Academy of Sciences in 1944. His supervisor was Gilbert de Beauregard Robinson. Mendelsohn also began practising magic tricks in high school as a means of steadying a tremor in his hands. He placed second in the 1953 International Brotherhood of Magicians contest, behind Johnny Carson. He could memorize a shuffled deck of cards seeing each card only once briefly, or a list of fifty objects called out in any order. He could identify the position of each card or name the card in any position.

Career During the Second World War, Mendelsohn worked on simulations of artillery and code breaking. As with much of the mathematical work for military purposes during the time, it was classified. Although others related after fifty years what their exact role was, Nathan Mendelsohn strictly followed the Official Secrets Act and never revealed exact details of what he had done. We now know that when Norway fell to the Nazis, he worked on a team recomputing ballistics tables for Canadian wood as TNT is made from wood. Then he went on to break code at Camp X, which was Canada’s equivalent of Bletchley Park. From 1945 to 1947, Mendelsohn was a professor at Queen's University in Kingston, Ontario, Canada. Mendelsohn's son later remarked that Mendelsohn "understood that, as a Jew, he would never get a permanent position" at Queen's, as the university "already had a Jewish professor in the department." In 1947, Mendelsohn moved to the University of Manitoba in Winnipeg, Manitoba. Mendelsohn stayed at the University of Manitoba until his retirement in 2005. During early summers at the University of Manitoba, Mendelsohn would travel to Quebec City to teach to supplement his $3,000 annual salary at the University of Manitoba. In 1958, Mendelsohn and Dulmage published the paper "Coverings of biparte graphs", in which the Dulmage–Mendelsohn decomposition is described. Mendelsohn is also remembered for Mendelsohn triple systems. Mendelsohn was head of the department of mathematics at the University of Manitoba for almost a quarter of a century. In the early 1960s, Mendelsohn returned to classified mathematics, this time at the RAND Corporation. From 1969 to 1971, Mendelsohn was the president of the Canadian Mathematical Society. In 1985, Mendelsohn was the subject of a short film form the National Film Board of Canada, titled "An Aesthetic Indulgence".

Retirement Mendelsohn retired from the University of Manitoba in 2005. He died on July 4, 2006, from hepatitis C obtained through tainted blood.

Awards In 1957, Mendelsohn was made a fellow of the Royal Society of Canada. He won the Henry Marshall Tory Medal in 1979. On April 15, 1999, Mendelsohn was made a member of the Order of Canada. His citation reads, in part, that Mendelsohn is "known throughout the world as an authority in combinatorics, classical geometry and finite groups".

Nathan Mendelsohn Prize In 2008 the Nathan Mendelsohn Prize was established by his family at the University of Manitoba for the highest ranking student at a Canadian University in Putnam Competition.

References

External links An Aesthetic Indulgence. A short film about Mendelsohn. An Aesthetic Indulgence. National Film Board of Canada webpage. O'Connor, John J.; Robertson, Edmund F., "Nathan Mendelsohn", MacTutor History of Mathematics Archive, University of St Andrews Nathan Mendelsohn at the Mathematics Genealogy Project

Illustrations

Nathan Mendelsohn: Nathan Mendelsohn (1999)
Nathan Mendelsohn (1999)
Nathan Mendelsohn: Nathan Mendelsohn (1939)
Nathan Mendelsohn (1939)

Worked examples

Example 1 — a first encounter with Nathan Mendelsohn

Start with the simplest possible case. Write down what Nathan Mendelsohn 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 Nathan Mendelsohn 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 Nathan Mendelsohn 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 Nathan Mendelsohn

In research
Nathan Mendelsohn 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 Nathan Mendelsohn 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
Nathan Mendelsohn is common in secondary-school and first-year university syllabi. It links to neighbouring topics 1917 births, 2006 deaths, Academic staff of the University of Manitoba, so understanding it makes those chapters shorter.
In everyday life
Look for Nathan Mendelsohn 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 Nathan Mendelsohn in 20 minutes

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

Frequently asked questions

What is Nathan Mendelsohn in simple terms?

Nathan Saul Mendelsohn, (April 14, 1917 – July 4, 2006) was an American-born mathematician who lived and worked in Canada. Mendelsohn was a researcher in several areas of discrete mathematics, including group theory and combinatorics.

Why does Nathan Mendelsohn 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 Nathan Mendelsohn?

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 Nathan Mendelsohn.

Tags

  • 1917 births
  • 2006 deaths
  • Academic staff of the University of Manitoba
  • American emigrants to Canada
  • American people of Romanian-Jewish descent
  • Canadian mathematicians
  • Canadian people of Romanian-Jewish descent
  • Fellows of the Royal Society of Canada
  • Jewish Canadian scientists
  • Members of the Order of Canada
  • Presidents of the Canadian Mathematical Society
  • Scientists from Brooklyn

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