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Mary Graustein

Mary Graustein 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 Graustein rather than just read about it. In short: Mary Graustein (April 12, 1884 – July 18, 1972) was a mathematician and university professor, and was the first woman to earn a doctorate in mathematics (1917) at Radcliffe College. Life and research Mary Florence Curtis was the oldest of five children born to Jennie Esther (Lucas) (1857–1945) and Frank Abbott Curtis (1857–1937) in Westminster, Massachusetts.

Mary Graustein — main illustration
Mary Graustein — illustration

Key takeaways

  • Mary Graustein 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 Graustein to a quantity you can measure, compute or draw — that is where exam questions come from.
  • Reproduce the core statement of Mary Graustein from memory before moving on to harder problems.

Reference excerpt

Mary Graustein (April 12, 1884 – July 18, 1972) was a mathematician and university professor, and was the first woman to earn a doctorate in mathematics (1917) at Radcliffe College.

Life and research Mary Florence Curtis was the oldest of five children born to Jennie Esther (Lucas) (1857–1945) and Frank Abbott Curtis (1857–1937) in Westminster, Massachusetts. She attended Fitchburg High School in Massachusetts and in 1902 she began her undergraduate studies at Wellesley College. She was a Wellesley Honors Scholar throughout her college years and received her Bachelor of Art's degree in 1906. As was common practice at that time, Mary Curtis took a teaching position at Leominster High School in Westminster, where she taught German, algebra and geometry for two years, traveling to Europe for the summer of 1907. After her return, from 1908 to 1910, she taught German and natural science at the Cushing Academy in Ashburnham, Massachusetts. (During the summer break of 1909, she studied botany and pedagogy at Cornell University in Ithaca, New York.) Returning to Germany, Curtis studied mathematics and science for three semesters (May 1910 until August 1911) at Leipzig University. Upon her return from Leipzig, she joined the Wellesley College mathematics faculty where she taught from September 1911 to June 1914. Even while she was on the Wellesley faculty, she started graduate school at nearby Radcliffe College in Cambridge, Massachusetts. in September 1913 and was awarded a one-year Mary E. Horton fellowship to facilitate her schooling. Curtis earned her M.A. in 1915 and her Ph.D. in 1917 with a dissertation in differential geometry titled Curves invariant under point transformations of special type. Professors Charles Leonard Bouton and Julian Coolidge were her faculty reviewers. She was the first woman from Harvard-Radcliffe (the two are now combined) to earn a doctorate in math.

Professor From 1917 to 1918, Dr. Mary Curtis taught at the College for Women at Case Western Reserve University in Cleveland, Ohio, From 1918 to 1920, she was an instructor and then until 1921 assistant professor at Wellesley College. In the summer of 1920 she returned to Leipzig, Germany. Mary's mathematical research did not go unnoticed. According to mathematician Judy Green:In a November 1920 letter extracted in the Bulletin of the AMS, the Italian geometer and historian of mathematics Gino Loria wrote to the American historian of mathematics D. E. Smith that 'Mary F. Curtis had established [a] remarkable result, that every rectifiable skew parabola is a helix" (27 (1921): 201). The extract from Loria's letter referred to Curtis's 1918 paper On the rectifiability of a twisted cubic and motivated her 1921 paper On skew parabolas.It was in Wellesley, on June 10, 1921, at the age of 37, that she married another mathematician William Caspar Graustein (1888-1941), who was born in Cambridge and teaching at Harvard when he met Curtis, one of his students. After their marriage and her subsequent name change, Mary Graustein took an academic leave of absence for two years before returning to teach at Wellesley College as assistant professor. There, from 1923 to 1929, she taught as an assistant professor. From 1926 to 1941, she and her friend and fellow mathematician Rachel Blodgett Adams, Ph.D., worked as tutors at Radcliffe College, work that she enjoyed, as quoted by Green. My tutorial work at Radcliffe consists of eleven 'tutees.' I see each of them for an hour every other week. Three of them are Seniors; they and their theses on 'Infinite Series,' 'Curve Fitting' and 'The Number System of Algebra' do their bit to keep me busy. I enjoy the work and the girls. The Grausteins, who had no children, enjoyed travel and made a point of going to Italy every other summer to spend time in the Dolomites until the advent of World War II made such trips inadvisable.

Later years Her husband, William Graustein, an assistant dean at Harvard, died in an automobile accident on January 22, 1941, at the age of 52. After his death, Mary Graustein taught at a series of institutions including Connecticut College, Hunter College in New York City, and Oberlin College in Ohio. In 1944 she was named assistant professor at Tufts College in Massachusetts. She was promoted to associate professor in 1950 and she remained there until she retired in 1955. After her retirement, she moved into the family home in Westminster and continued to pursue her love of travel. She died July 18, 1972 at 88 in Gardner, Massachusetts, and was buried in Mount Auburn Cemetery in Cambridge.

Memberships American Mathematical Society Phi Beta Kappa Sigma Xi

Selected publications 1918: The existence of the functions of the elliptic cylinder. In: Ann. Of Math. 2nd ser., Volume 20. 1918: On the rectifiability of a twisted cubic. In: Bull. Amer. Math. Soc. Volume 25. 1920: On the rectifiability of a twisted cubic. In: Bull. Amer. Math. Soc. Volume 26. 1921: On skew parabolas. In: Bull. Amer. Math. Soc. Volume 27. 1922: Curves invariant under point-transformations of special type. In: Trans. Amer. Math. Soc. Volume 23.

References

Illustrations

Mary Graustein illustration

Worked examples

Example 1 — a first encounter with Mary Graustein

Start with the simplest possible case. Write down what Mary Graustein 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 Graustein 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 Graustein 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 Graustein

In research
Mary Graustein 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 Graustein 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 Graustein is common in secondary-school and first-year university syllabi. It links to neighbouring topics 1884 births, 1972 deaths, 20th-century American mathematicians, so understanding it makes those chapters shorter.
In everyday life
Look for Mary Graustein 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 Graustein in 20 minutes

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

Frequently asked questions

What is Mary Graustein in simple terms?

Mary Graustein (April 12, 1884 – July 18, 1972) was a mathematician and university professor, and was the first woman to earn a doctorate in mathematics (1917) at Radcliffe College. Life and research Mary Florence Curtis was the oldest of five children born to Jennie Esther (Lucas) (1857–1945) and…

Why does Mary Graustein 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 Graustein?

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 Graustein.

Tags

  • 1884 births
  • 1972 deaths
  • 20th-century American mathematicians
  • 20th-century American women mathematicians
  • 20th-century American women scientists
  • American mathematics educators
  • Leipzig University alumni
  • Radcliffe College alumni
  • Tufts University faculty
  • Wellesley College faculty

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