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Jean Taylor

Jean Taylor 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 Jean Taylor rather than just read about it. In short: Jean Ellen Taylor (born 1944) is an American mathematician who is a professor emerita at Rutgers University and visiting faculty at the Courant Institute of Mathematical Sciences of New York University. Biography Taylor was born in Northern California.

Jean Taylor — main illustration
Jean Taylor — illustration

Key takeaways

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

Reference excerpt

Jean Ellen Taylor (born 1944) is an American mathematician who is a professor emerita at Rutgers University and visiting faculty at the Courant Institute of Mathematical Sciences of New York University.

Biography Taylor was born in Northern California. She did her undergraduate studies at Mount Holyoke College, graduating summa cum laude with an A.B. in 1966. She began her graduate studies in chemistry at the University of California, Berkeley, but after receiving an M.Sc. she switched to mathematics under the mentorship of Shiing-Shen Chern and then transferred to the University of Warwick and received a second M.Sc. in mathematics there. She completed a doctorate in 1973 from Princeton University under the supervision of Frederick J. Almgren, Jr. Taylor joined the Rutgers faculty in 1973, and retired in 2002. She was president of the Association for Women in Mathematics from 1999 to 2001. She has been married three times, to mathematicians John Guckenheimer and Frederick Almgren, and to financier and science advocate William T. Golden.

Research Taylor is known for her work on the mathematics of soap bubbles and of the growth of crystals. In 1973 she published her dissertation on "Regularity of the Singular Set of Two-Dimensional Area-Minimizing Flat Chains Modulo 3 in R3" which solved a long-standing problem about length and smoothness of soap-film triple function curves. In 1976 she, along with Almgren, published the first proof of Plateau's laws, a description of the shapes formed by soap bubble clusters that had been formulated without proof in the 19th century by Joseph Plateau. Encyclopedia Britannica called the mathematical derivation "one of the major triumphs of global analysis".

Awards and honors Taylor is a fellow of the American Academy of Arts and Sciences, the American Association for the Advancement of Science, the American Mathematical Society, and the Society for Industrial and Applied Mathematics. In 2001, she received an honorary doctorate from Mount Holyoke College. In 2017, she was selected as a fellow of the Association for Women in Mathematics in the inaugural class.

Selected publications Taylor, Jean E. (1976), "The structure of singularities in soap-bubble-like and soap-film-like minimal surfaces", Annals of Mathematics, Second Series, 103 (3): 489–539, doi:10.2307/1970949, JSTOR 1970949, MR 0428181. Taylor, J. E.; Cahn, J. W.; Handwerker, C. A. (1992), "Overview No. 98. I. Geometric models of crystal growth", Acta Metallurgica et Materialia, 40 (7): 1443–1474, doi:10.1016/0956-7151(92)90090-2. Taylor, J. E. (1992), "Overview No. 98. II. Mean curvature and weighted mean curvature", Acta Metallurgica et Materialia, 40 (7): 1475–1485, doi:10.1016/0956-7151(92)90091-R. Almgren, Fred; Taylor, Jean E.; Wang, Lihe (1993), "Curvature-driven flows: a variational approach", SIAM Journal on Control and Optimization, 31 (2): 387–438, doi:10.1137/0331020, MR 1205983. Cahn, J. W.; Taylor, J. E. (1994), "Overview No. 113. Surface motion by surface diffusion", Acta Metallurgica et Materialia, 42 (4): 1045–1053, doi:10.1016/0956-7151(94)90123-6. Taylor, Jean E. (2003), "Some mathematical challenges in materials science", Bulletin of the American Mathematical Society, 40 (1): 69–87, doi:10.1090/s0273-0979-02-00967-9, MR 1943134. Taylor, Jean E. (2006), "Soap bubbles and crystals", Resonance, 11 (6): 26–30, doi:10.1007/BF02838879, S2CID 122133930.

References

External links Quotations related to Jean Taylor at Wikiquote Home page at Rutgers

Illustrations

Jean Taylor illustration

Worked examples

Example 1 — a first encounter with Jean Taylor

Start with the simplest possible case. Write down what Jean Taylor 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 Jean Taylor 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 Jean Taylor 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 Jean Taylor

In research
Jean Taylor 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 Jean Taylor 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
Jean Taylor is common in secondary-school and first-year university syllabi. It links to neighbouring topics 1944 births, 20th-century American mathematicians, 20th-century American women mathematicians, so understanding it makes those chapters shorter.
In everyday life
Look for Jean Taylor 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 Jean Taylor in 20 minutes

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

Frequently asked questions

What is Jean Taylor in simple terms?

Jean Ellen Taylor (born 1944) is an American mathematician who is a professor emerita at Rutgers University and visiting faculty at the Courant Institute of Mathematical Sciences of New York University. Biography Taylor was born in Northern California.

Why does Jean Taylor 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 Jean Taylor?

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 Jean Taylor.

Tags

  • 1944 births
  • 20th-century American mathematicians
  • 20th-century American women mathematicians
  • 21st-century American mathematicians
  • 21st-century American women mathematicians
  • Alumni of the University of Warwick
  • American mathematical analysts
  • Courant Institute of Mathematical Sciences faculty
  • Fellows of the American Academy of Arts and Sciences
  • Fellows of the American Association for the Advancement of Science
  • Fellows of the American Mathematical Society
  • Fellows of the Association for Women in Mathematics

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