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Karen Parshall

Karen Parshall 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 Karen Parshall rather than just read about it. In short: Karen Hunger Parshall (born 1955, Virginia; née Karen Virginia Hunger) is an American historian of mathematics. She is the Commonwealth Professor of History and Mathematics at the University of Virginia with a joint appointment in the Corcoran Department of History and Department of Mathematics.

Key takeaways

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

Reference excerpt

Karen Hunger Parshall (born 1955, Virginia; née Karen Virginia Hunger) is an American historian of mathematics. She is the Commonwealth Professor of History and Mathematics at the University of Virginia with a joint appointment in the Corcoran Department of History and Department of Mathematics. From 2009 to 2012, Parshall was the Associate Dean for the Social Sciences in the College of Arts in Sciences at UVA, and from 2016 to 2019 she was the chair of the Corcoran Department of History.

Education and career Parshall double-majored in French and mathematics at the University of Virginia, where she earned her master's degree in mathematics in 1978. She earned her PhD in 1982 in history from the University of Chicago under the direction of the historian Allen G. Debus (1926–2009) and the mathematician Israel Herstein. The subject of her dissertation was the history of the theory of algebras, especially the work of Joseph Wedderburn (The contributions of J. H. M. Wedderburn to the theory of algebras, 1900–1910). From 1982 to 1987, Parshall was an assistant professor at Sweet Briar College and in 1987/88 at the University of Illinois at Urbana-Champaign. Since 1988 she has taught mathematics, the history of mathematics, and the history of science at the University of Virginia, where she became in 1988 an assistant professor, in 1993 an associate professor and in 1999 a professor. She was a visiting professor at the Australian National University in Canberra, at the École des Hautes Etudes en Sciences Sociales (1985 and 2010) and at the Pierre and Marie Curie University in Paris (2016).

Work Parshall's academic specialty is the development of mathematics in the US in the late 19th century and early 20th century (particularly the Chicago School). As one example, she has studied the work of Leonard Dickson, who was greatly influenced by contact with German mathematicians such as Felix Klein at the time of the Columbian Exposition of 1893. She has also focused on the history of algebra. She edited the correspondence of James Joseph Sylvester published by Oxford University Press and wrote a biography of Sylvester.

Recognition In the academic year 1996/97 Parshall was a Guggenheim Fellow. In 1994 she was an invited speaker at the International Congress of Mathematicians (ICM) in Zürich (Mathematics in National Contexts (1875–1900): An International Overview). Since 2002 she has been a corresponding member of the Académie internationale d’histoire des sciences in Paris. From 1996 to 1999, she was editor of the journal Historia Mathematica. Parshall was in the governing body of the History of Science Society and from 1998 to 2001 of the American Mathematical Society (AMS). In 2012, she became an inaugural fellow of the American Mathematical Society. She is the 2018 winner of the Albert Leon Whiteman Memorial Prize of the American Mathematical Society "for her outstanding work in the history of mathematics, and in particular, for her work on the evolution of mathematics in the US and on the history of algebra, as well as for her substantial contribution to the international life of her discipline through students, editorial work, and conferences." In 2020, she was elected Fellow of the American Association for the Advancement of Science, in the Section on Mathematics. Parshall is also a former AMS Council member at large.

Works Eliakim Hastings Moore and the Founding of a Mathematical Community in America, 1892–1902, Annals of Science 41, 1984, pp. 313–333; also reprinted in Peter Duren (ed.): A Century of Mathematics in America. Part II, AMS History of Mathematics 2, Providence 1989, pp. 155–175 (by AMS Books Online: Part entitled Chicago) Joseph H. M. Wedderburn and the Structure Theory of Algebras, Archive for History of Exact Sciences 32, 1985, pp. 223–349 The Art of Algebra from al-Khwarizmi to Viète: a Study in the Natural Selection of Ideas, History of Science 26, 1988, pp. 129–164 Toward a History of Nineteenth-Century Invariant Theory, in David E. Rowe, John McCleary (eds.): The History of Modern Mathematics Vol. 1, Academic Press, Boston 1989, pp. 157–206 with David E. Rowe: American Mathematics Comes of Age: 1875–1900, in Peter Duren (ed.): A Century of Mathematics in America. Part III, AMS History of Mathematics 3, 1989, pp. 3–28 (bei AMS Books Online: Part entitled The Nineteenth Century; from Google Books) with David E. Rowe: The Emergence of the American Mathematical Research Community 1876–1900: J. J. Sylvester, Felix Klein, and E. H. Moore, AMS/LMS History of Mathematics 8, Providence/London 1994 James Joseph Sylvester: Life and Work in Letters, Oxford University Press, 1998 with Adrian C. Rice (eds.): Mathematics Unbound: The Evolution of an International Mathematical Research Community, 1800–1945, AMS/LMS History of Mathematics 23, 2002 with Jeremy J. Gray (eds.): Episodes in the History of Modern Algebra (1800–1950), AMS/LMS History of Mathematics 32, Providence/London 2007 (Conference at MSRI 2002) 2000: Perspectives on American Mathematics, Bulletin of the American Mathematical Society 37: 381–405. 2006: James Joseph Sylvester: Jewish Mathematician in a Victorian World, Johns Hopkins University Press, ISBN 0-8018-8291-5 2014: with Victor J. Katz: Taming the Unknown: History of algebra from antiquity to the early twentieth century, Princeton University Press ISBN 9780691149059.

Sources Florence Fasanelli: Karen Parshall. In: Charlene Morrow, Teri Perl (eds.): Notable women in mathematics. A biographical Dictionary. Greenwood Publishing Group, Westport CT, 1998, ISBN 0-313-29131-4, pp. 157–160.

References

External links Karen Parshall. Professor of History and Mathematics – Homepage at the University of Virginia Karen Parshall talks about J. J. Sylvester. (website of Being a Professional Mathematician) The Princetion Mathematics Community in the 1930s (PMC08). An interview with William L. Duren, Nathan Jacobson, and Edward J. McShane by Karen Parshall on 10 April 1984 at the U. of Virginia Karen Parshall at the Mathematics Genealogy Project

Worked examples

Example 1 — a first encounter with Karen Parshall

Start with the simplest possible case. Write down what Karen Parshall 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 Karen Parshall 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 Karen Parshall 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 Karen Parshall

In research
Karen Parshall 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 Karen Parshall 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
Karen Parshall is common in secondary-school and first-year university syllabi. It links to neighbouring topics 1955 births, 20th-century American historians, 20th-century American women, so understanding it makes those chapters shorter.
In everyday life
Look for Karen Parshall 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 Karen Parshall in 20 minutes

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

Frequently asked questions

What is Karen Parshall in simple terms?

Karen Hunger Parshall (born 1955, Virginia; née Karen Virginia Hunger) is an American historian of mathematics. She is the Commonwealth Professor of History and Mathematics at the University of Virginia with a joint appointment in the Corcoran Department of History and Department of Mathematics.

Why does Karen Parshall 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 Karen Parshall?

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 Karen Parshall.

Tags

  • 1955 births
  • 20th-century American historians
  • 20th-century American women
  • 21st-century American historians
  • 21st-century American mathematicians
  • 21st-century American women mathematicians
  • 21st-century American women writers
  • American historians of mathematics
  • American women historians
  • Fellows of the American Mathematical Society
  • Living people
  • Sweet Briar College faculty

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