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Samuel Beatty (mathematician)

Samuel Beatty (mathematician) is a astronomy 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 Samuel Beatty (mathematician) rather than just read about it. In short: Samuel Beatty (1881–1970) was dean of the Faculty of Mathematics at the University of Toronto, taking the position in 1934, and dean of the Faculty of Arts from 1936 to 1952. Early life Beatty was born in 1881.

Key takeaways

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

Reference excerpt

Samuel Beatty (1881–1970) was dean of the Faculty of Mathematics at the University of Toronto, taking the position in 1934, and dean of the Faculty of Arts from 1936 to 1952.

Early life Beatty was born in 1881. In 1915, he graduated from the University of Toronto with a PhD and a dissertation entitled Extensions of Results Concerning the Derivatives of an Algebraic Function of a Complex Variable, with the help of his adviser, John Charles Fields. He was the first person to receive a PhD in mathematics from a Canadian university. In 1925 he was elected a Fellow of the Royal Society of Canada. In 1926, he published a problem in the American Mathematical Monthly, which formed the genesis for the Beatty sequence.

University of Toronto Beatty was dean of the Faculty of Mathematics at the University of Toronto, taking the position in 1934. The famous mathematician Richard Brauer was recruited by Beatty in 1935. He invited Harold Scott MacDonald Coxeter to the University of Toronto with a position as an assistant professor, which Coxeter took; he remained in Toronto for the rest of his life. In 1936, he was appointed the 7th dean of the Faculty of Arts, a position which he held until 1952. In June 1939, he was one of the founding members of the Committee of Teaching Staff. Beatty was appointed the 21st Chancellor of the University of Toronto in 1953, holding the position until 1959. He was associated with the university from 1911 to 1952, and a scholarship was established in his honor. He died in 1970.

In a very real sense he guided Canadian mathematics from the isolation of the 19th century to a significant role in the 20th century. In an era when extremely few women received PhDs in mathematics, Beatty supervised the mathematical PhDs of Mary Fisher and Muriel Kennett Wales. Nobel Prize in Chemistry winner Walter Kohn, a student at the university while Beatty was a dean, expressed his appreciation in 1998 to the dean when accepting the prize for his development of the density functional theory. In 1942, when Kohn could not access the university's chemistry buildings during World War II because of his German nationality, Beatty had helped him to enroll in the Mathematics Department at the university.

Canadian Mathematical Society Beatty was one of the founders of the Canadian Mathematical Congress and was elected to serve as the first president of the congress in 1945. Under his presidency, the Canadian Mathematical Congress began to promote mathematical development in Canada. Beatty served as the president of the Canadian Mathematical Congress until 1978 at which point the congress was renamed the Canadian Mathematical Society to avoid further confusion with the quadrennial mathematical congresses.

References

Overview of the Canadian Mathematical Society http://cms.math.ca/Docs/cms-eng.html

External links Works by or about Samuel Beatty at the Internet Archive O'Connor, John J.; Robertson, Edmund F., "Samuel Beatty", MacTutor History of Mathematics Archive, University of St Andrews Archival papers held by the University of Toronto Archives and Record Management Services.

Worked examples

Example 1 — a first encounter with Samuel Beatty (mathematician)

Start with the simplest possible case. Write down what Samuel Beatty (mathematician) claims or describes in one sentence, then invent the smallest concrete situation in which that sentence is true. In astronomy, 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 Samuel Beatty (mathematician) 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 Samuel Beatty (mathematician) 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 Samuel Beatty (mathematician)

In research
Samuel Beatty (mathematician) appears in astronomy 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 Samuel Beatty (mathematician) 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
Samuel Beatty (mathematician) is common in secondary-school and first-year university syllabi. It links to neighbouring topics 1881 births, 1970 deaths, Academic staff of the University of Toronto Faculty of Arts and Science, so understanding it makes those chapters shorter.
In everyday life
Look for Samuel Beatty (mathematician) 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 Samuel Beatty (mathematician) in 20 minutes

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

Frequently asked questions

What is Samuel Beatty (mathematician) in simple terms?

Samuel Beatty (1881–1970) was dean of the Faculty of Mathematics at the University of Toronto, taking the position in 1934, and dean of the Faculty of Arts from 1936 to 1952. Early life Beatty was born in 1881.

Why does Samuel Beatty (mathematician) matter?

Because it connects several astronomy 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 Samuel Beatty (mathematician)?

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 Samuel Beatty (mathematician).

Tags

  • 1881 births
  • 1970 deaths
  • Academic staff of the University of Toronto Faculty of Arts and Science
  • Canadian mathematicians
  • Chancellors of the University of Toronto
  • Deans of the University of Toronto Faculty of Arts and Science
  • Divisional deans of the University of Toronto
  • Fellows of the Royal Society of Canada
  • Mathematicians of the University of Toronto
  • Presidents of the Canadian Mathematical Society
  • University of Toronto alumni

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