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Mary-Elizabeth Hamstrom

Mary-Elizabeth Hamstrom 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 Mary-Elizabeth Hamstrom rather than just read about it. In short: Mary-Elizabeth Hamstrom (May 24, 1927 – December 2, 2009) was an American mathematician known for her contributions to topology, and particularly to point-set topology and the theory of homeomorphism groups of manifolds. She was for many years a professor of mathematics at the University of Illinois at Urbana–Champaign.

Key takeaways

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

Reference excerpt

Mary-Elizabeth Hamstrom (May 24, 1927 – December 2, 2009) was an American mathematician known for her contributions to topology, and particularly to point-set topology and the theory of homeomorphism groups of manifolds. She was for many years a professor of mathematics at the University of Illinois at Urbana–Champaign.

Early life and education Hamstrom was born in Pittsburgh, one of three sisters. She frequently abbreviated her name as M-E, but never Mary. She was a student at Germantown High School (Philadelphia), where Anna Mullikin, a mathematician and doctoral student of Robert Lee Moore, had become a teacher. She did her undergraduate studies at the University of Pennsylvania, where Moore had taught many years previously, and completed her bachelor's degree there in mathematics in 1948, after having worked there as an assistant to John Robert Kline, who had been another of Moore's students at the University of Pennsylvania before becoming a faculty member there himself. Given this background, "she seemed predestined to pursue graduate work with Robert Lee Moore at the University of Texas", as on Kline's recommendation she did. A letter from Moore to Hamstrom, while she was still a senior at the University of Pennsylvania, describes the Moore method of teaching mathematics and expresses Moore's regret that she had already begun study in her intended specialty; Moore preferred to begin with a clean slate. This letter has been described as being "of considerable importance in the history of mathematics education". Hamstrom completed her Ph.D. at the University of Texas at Austin in 1952. Her dissertation, under Moore's supervision, was Concerning Webs in the Plane. F. Burton Jones, another Moore student on the Texas faculty, became another of her mentors.

Career and later life On completing her doctorate, Hamstrom became a faculty member at Goucher College, then a women's college, and she earned tenure there in 1957 after a year at the Institute for Advanced Study. While visiting the institute, she was encouraged to move to the University of Illinois at Urbana–Champaign by Paul T. Bateman, who was a professor there and was also visiting the Institute at the same time. Hamstrom had known Bateman from the University of Pennsylvania, where he was a graduate student when she was an undergraduate. Following Bateman's advice, she moved to the University of Illinois in 1961. Five years later, when the university promoted her to full professor, she became only one of four women with that rank in the College of Liberal Arts and Sciences. She retired in 1999. Hamstrom's "period of greatest creative activity" was from 1950 to 1980, during which she published 24 papers on point set topology, geometric topology, and the homeomorphisms of manifolds, and supervised eight doctoral students. (A ninth student completed a doctorate in 1999, the year of Hamstrom's retirement.)

References

External links Mary-Elizabeth Hamstrom Papers, 1929–2004, University of Illinois Archives

Worked examples

Example 1 — a first encounter with Mary-Elizabeth Hamstrom

Start with the simplest possible case. Write down what Mary-Elizabeth Hamstrom 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 Mary-Elizabeth Hamstrom 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 Mary-Elizabeth Hamstrom 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 Mary-Elizabeth Hamstrom

In research
Mary-Elizabeth Hamstrom 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 Mary-Elizabeth Hamstrom 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
Mary-Elizabeth Hamstrom is common in secondary-school and first-year university syllabi. It links to neighbouring topics 1927 births, 2009 deaths, 20th-century American mathematicians, so understanding it makes those chapters shorter.
In everyday life
Look for Mary-Elizabeth Hamstrom 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 Mary-Elizabeth Hamstrom in 20 minutes

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

Frequently asked questions

What is Mary-Elizabeth Hamstrom in simple terms?

Mary-Elizabeth Hamstrom (May 24, 1927 – December 2, 2009) was an American mathematician known for her contributions to topology, and particularly to point-set topology and the theory of homeomorphism groups of manifolds. She was for many years a professor of mathematics at the University of Illinoi…

Why does Mary-Elizabeth Hamstrom 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 Mary-Elizabeth Hamstrom?

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 Mary-Elizabeth Hamstrom.

Tags

  • 1927 births
  • 2009 deaths
  • 20th-century American mathematicians
  • 20th-century American women mathematicians
  • 21st-century American women
  • American topologists
  • Goucher College faculty and staff
  • Mathematicians from Pennsylvania
  • Scientists from Pittsburgh
  • University of Illinois Urbana-Champaign faculty
  • University of Pennsylvania alumni
  • University of Texas at Austin alumni

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