mathematics

Judith Grabiner

Judith Grabiner 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 Judith Grabiner rather than just read about it. In short: Judith Victor Grabiner (born October 12, 1938) is an American mathematician and historian of mathematics, who is Flora Sanborn Pitzer Professor Emerita of Mathematics at Pitzer College, one of the Claremont Colleges. Her main interest is in mathematics in the eighteenth and nineteenth centuries.

Key takeaways

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

Reference excerpt

Judith Victor Grabiner (born October 12, 1938) is an American mathematician and historian of mathematics, who is Flora Sanborn Pitzer Professor Emerita of Mathematics at Pitzer College, one of the Claremont Colleges. Her main interest is in mathematics in the eighteenth and nineteenth centuries.

Education Grabiner completed a Bachelor of Science degree at the University of Chicago in 1960. She was a graduate student in the history of science at Harvard University, completing a Master of Arts in 1962 and a Ph.D. in 1966, under I. Bernard Cohen. Her PhD dissertation was on Italian mathematician Joseph-Louis Lagrange.

Career Grabiner was an instructor at Harvard for several years, before she and her husband Sandy Grabiner moved to California. She was a professor of history at California State University, Dominguez Hills from 1972 to 1985. Grabiner joined the mathematics department at Pitzer College in 1985, and has been the Flora Sanborn Pitzer Professor of Mathematics since 1994. Her teaching includes courses on the history of mathematics, mathematics in different cultures, and mathematics and philosophy.

Recognition Grabiner received the Carl B. Allendoerfer Award for the best article in Mathematics Magazine in 1984, 1989, and 1996, and the Lester R. Ford Award in 1984, 1998, 2005, and 2010, for the best article in American Mathematical Monthly. In 2003, Grabiner received one of the Mathematical Association of America's Deborah and Franklin Haimo Awards for Distinguished College or University Teaching of Mathematics. She became a fellow of the American Mathematical Society in 2012. In 2014, she was awarded the Beckenbach Book Prize. She was the 2021 winner of the Albert Leon Whiteman Memorial Prize of the American Mathematical Society "for her outstanding contributions to the history of mathematics, in particular her works on Cauchy, Lagrange, and MacLaurin; her widely-recognized gift for expository writing; and a distinguished career of teaching, lecturing, and numerous publications promoting a better understanding of mathematics and the significant roles it plays in culture generally".

Books Grabiner, Judith V. (1981). The Origins of Cauchy's Rigorous Calculus. Dover (reprint); orig. MIT Press. ISBN 0-486-43815-5. Grabiner, Judith V. (1990). The Calculus as Algebra: J.-L. Lagrange, 1736-1813. Garland Science. ISBN 978-0-82407-448-7. Grabiner, Judith V. (2010). A Historian Looks Back: The Calculus as Algebra and Selected Writings. Mathematical Association of America. ISBN 978-0-88385-572-0. book details, Bookstore, American Mathematical Society

References

External links Dumbaugh, Della; Rice, Adrian (March 2020). "A Template for Success: Celebrating the Work of Judith Grabiner" (PDF). Notices of the American Mathematical Society. 67 (3): 336–343. doi:10.1090/noti2035.

Worked examples

Example 1 — a first encounter with Judith Grabiner

Start with the simplest possible case. Write down what Judith Grabiner 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 Judith Grabiner 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 Judith Grabiner 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 Judith Grabiner

In research: Judith Grabiner 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 Judith Grabiner 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: Judith Grabiner is common in secondary-school and first-year university syllabi. It links to neighbouring topics 1938 births, American historians of mathematics, American women mathematicians, so understanding it makes those chapters shorter.
In everyday life: Look for Judith Grabiner 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.

Ask Teacher Smith questions about this articleOpens your AI tutor with a question about “Judith Grabiner” →

Affiliate

Preply — study more efficiently by working with a personal tutor. 50% off.

How to study Judith Grabiner in 20 minutes

Read the reference excerpt below once, without taking notes.
Close the page and write down what Judith Grabiner means in your own words.
Compare your version with the excerpt and mark what you missed.
Work through the three examples above with pen and paper.
Explain Judith Grabiner out loud to somebody else — or to Teacher Smith in the lgStudy chat.

Frequently asked questions

What is Judith Grabiner in simple terms?

Why does Judith Grabiner 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 Judith Grabiner?

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 Judith Grabiner.