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Hilda Phoebe Hudson

Hilda Phoebe Hudson 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 Hilda Phoebe Hudson rather than just read about it. In short: Hilda Phoebe Hudson (11 June 1881 Cambridge – 26 November 1965 London) was an English mathematician who worked on algebraic geometry, in particular on Cremona transformations. Hudson was interested in the link between mathematics and her religious beliefs.

Hilda Phoebe Hudson — main illustration
Hilda Phoebe Hudson — illustration

Key takeaways

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

Reference excerpt

Hilda Phoebe Hudson (11 June 1881 Cambridge – 26 November 1965 London) was an English mathematician who worked on algebraic geometry, in particular on Cremona transformations. Hudson was interested in the link between mathematics and her religious beliefs.

Life and work In 1900 Hudson gained a scholarship and entered Newnham College at the University of Cambridge, graduating in 1903, coming seventh equal among the First Class students. After a year of further study at the University of Berlin, she returned to Newnham in 1905, first as lecturer in mathematics and later as Associate Research Fellow. Trinity College Dublin awarded her an ad eundam MA, and later a DSc, in 1906 and 1913, respectively. She was an Invited Speaker of the International Congress of Mathematicians (ICM) in 1912 at Cambridge UK. Although Laura Pisati had been invited to the 1908 ICM, she died just before the start of the conference, so Hudson became the first female invited speaker at an ICM. She spent the academic year 1912–1913 at Bryn Mawr in the US, and the years 1913–1917 back in England, this time as lecturer at West Ham Technical Institute. She joined an Air Ministry subdivision undertaking aeronautical engineering research in 1917, where she applied pioneering work on the application of mathematical modelling to aircraft design. She was appointed OBE in 1919. As a distinguished mathematician she was one of the few women of her time to serve on the council of the London Mathematical Society. Most of Hudson's pure mathematical research was concerned with surfaces and plane curves, her special interest being in Cremona transformations. Her 1916 monograph Ruler and Compasses was well-received as "a welcome addition to the literature on the boundary between elementary and advanced mathematics". Her 454-page 1927 treatise Cremona transformations in plane and space is considered by John Semple to be her magnum opus. Hudson was deeply religious, and a supporter of the Student Christian Movement. She sought, in her work, to understand the revelation of the glory of God in the beauty she found in mathematics. In later life, debilitated by arthritis, she moved into St Mary's Convent and Nursing home, an Anglican convent, where she died on 26 November 1965.

Aeronautical Engineering During World War I, Hudson worked for the UK's Air Department of the Admiralty. While there, she published on the strength of struts, and methods for incorporating incidence wires between biplane wings into stress calculations.

Epidemiology Hudson published work with Ronald Ross on epidemiology and the measurement of disease spread. "The classical susceptible-infectious-recovered (SIR) model, originated from the seminal papers of Ross and Ross and Hudson in 1916–1917 and the fundamental contributions of Kermack and McKendrick in 1927–1932, describes the transmission of infectious diseases between susceptible and infective individuals and provides the basic framework for almost all later epidemic models."

Books Ruler and Compasses, first published as a monograph (Longman's Modern Mathematical Series, 1916) and then included in the compendium Squaring the circle and other monographs (Chelsea n.d.) Cremona Transformations in Plane and Space, Cambridge University Press, 1927.

References

External links O'Connor, John J.; Robertson, Edmund F., "Hilda Phoebe Hudson", MacTutor History of Mathematics Archive, University of St Andrews Semple, J. G. (1969), "Hilda Phoebe Hudson", The Bulletin of the London Mathematical Society, 1 (3): 357–359, doi:10.1112/blms/1.3.357, ISSN 0024-6093, MR 0246741 A list of her papers can be found at Biographies of Women Mathematicians: Hilda Phoebe Hudson

Worked examples

Example 1 — a first encounter with Hilda Phoebe Hudson

Start with the simplest possible case. Write down what Hilda Phoebe Hudson 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 Hilda Phoebe Hudson 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 Hilda Phoebe Hudson 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 Hilda Phoebe Hudson

In research
Hilda Phoebe Hudson 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 Hilda Phoebe Hudson 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
Hilda Phoebe Hudson is common in secondary-school and first-year university syllabi. It links to neighbouring topics 1881 births, 1965 deaths, 20th-century English engineers, so understanding it makes those chapters shorter.
In everyday life
Look for Hilda Phoebe Hudson 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 Hilda Phoebe Hudson in 20 minutes

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

Frequently asked questions

What is Hilda Phoebe Hudson in simple terms?

Hilda Phoebe Hudson (11 June 1881 Cambridge – 26 November 1965 London) was an English mathematician who worked on algebraic geometry, in particular on Cremona transformations. Hudson was interested in the link between mathematics and her religious beliefs.

Why does Hilda Phoebe Hudson 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 Hilda Phoebe Hudson?

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 Hilda Phoebe Hudson.

Tags

  • 1881 births
  • 1965 deaths
  • 20th-century English engineers
  • 20th-century English non-fiction writers
  • 20th-century English women engineers
  • 20th-century English women writers
  • Alumni of Newnham College, Cambridge
  • Alumni of Trinity College Dublin
  • British women mathematicians
  • English mathematicians
  • English women non-fiction writers
  • Mathematicians from Cambridge

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