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mathematics

Mary Somerville

Mary Somerville 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 Somerville rather than just read about it. In short: Mary Somerville (née Fairfax, formerly Greig; 1780–1872) was a Scottish scientist, writer, and polymath. She studied mathematics and astronomy, and in 1835 she and Caroline Herschel were elected as the first female Honorary Members of the Royal Astronomical Society.

Mary Somerville — main illustration
Mary Somerville — illustration

Key takeaways

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

Reference excerpt

Mary Somerville (née Fairfax, formerly Greig; 1780–1872) was a Scottish scientist, writer, and polymath. She studied mathematics and astronomy, and in 1835 she and Caroline Herschel were elected as the first female Honorary Members of the Royal Astronomical Society. In John Stuart Mill's 1866 mass petition to the UK Parliament to grant women the right to vote, the first signature on the petition was Somerville's, which she signed before the age of 86. When she died in 1872, The Morning Post declared in her obituary that "Whatever difficulty we might experience in the middle of the nineteenth century in choosing a king of science, there could be no question whatever as to the queen of science". The first use of the word "scientist" in the English language was in a review by William Whewell of Somerville's second book On the Connexion of the Physical Sciences. Beyond her work as a scientist, she is known and celebrated as a mathematician and philosopher. Somerville College, a college of the University of Oxford, is named after her, reflecting the virtues of liberalism and academic success that the college wished to embody. She is featured on the front of the Royal Bank of Scotland polymer £10 note launched in 2017 along with a quotation from On the Connexion of the Physical Sciences.

Early life and education

Somerville, the daughter of Vice-Admiral Sir William George Fairfax, was related to several prominent Scottish houses through her mother, Margaret Charters. She was born on 26 December 1780 at the manse of Jedburgh, the home of her maternal aunt and the Rev. Dr. Thomas Somerville (1741–1830) (author of My Own Life and Times). Her childhood home was at Burntisland, Fife, where her mother was from. Somerville was the second of four surviving children (three of her siblings had died in infancy). She was particularly close to her oldest brother Sam. The family lived in genteel poverty as her father's naval pay remained meagre, despite his rise through the ranks. Her mother supplemented the household's income by growing vegetables, maintaining an orchard and keeping cows for milk. Her mother taught her to read the Bible and Calvinist catechisms. When her household chores were done, Mary was free to roam among the birds and flowers in the garden. In her autobiography, Somerville recollects that on her father's return from sea he said to his wife, "This kind of life will never do, Mary must at least know how to write and keep accounts". Ten-year-old Mary was then sent to an expensive boarding school in Musselburgh, where she learned the first principles of writing, rudimentary French and English grammar. Upon returning home, she:

...was no longer amused in the gardens, but wandered about the country. When the tide was out I spent hours on the sands, looking at the star-fish and sea-urchins, or watching the children digging for sand-eels, cockles, and the spouting razor-fish. I made collections of shells, such as were cast ashore, some so small that they appeared like white specks in patches of black sand. There was a small pier on the sands for shipping limestone brought from the coal mines inland. I was astonished to see the surface of these blocks of stone covered with beautiful impressions of what seemed to be leaves; how they got there I could not imagine, but I picked up the broken bits, and even large pieces, and brought them to my repository. During bad weather, Somerville occupied herself with reading the books in her father's library, including Shakespeare, as well as with "domestic duties." Such duties "occupied a great part of my time; besides, I had to shew my sampler, working the alphabet from A to Z, as well as the ten numbers, on canvas". Her aunt Janet came to live with the family and reportedly said to her mother "I wonder you let Mary waste her time in reading, she never shews [sews] more than if she were a man." Somerville was then sent to the village school to learn plain needlework, where she found herself annoyed that her "turn for reading was so much disapproved of, and thought it unjust that women should have been given a desire for knowledge if it were wrong to acquire it." The village school master came several time each week to teach Mary at home. In her Personal Recollections, Somerville notes that the boys learned Latin at the village school, while "it was thought sufficient for the girls to be able to read the Bible; very few even learnt writing."

When she was 13, her mother sent her to writing school in Edinburgh, where she improved her writing skills and studied arithmetic. Back in Burntisland she taught herself sufficient Latin to read the books in the home library. While visiting her aunt in Jedburgh, she met her uncle, Dr. Thomas Somerville. She gathered her courage to tell him that she had been learning Latin. Dr. Somerville assured her that in earlier times many women had become elegant scholars. He then proceeded to enable her to improve her Latin by reading Virgil with her. While staying with another uncle, William Charters, in Edinburgh, Somerville was sent to a dancing school, where she learned manners and how to curtsey. She also accompanied her uncle and aunt on their visits to the Lyell family in Kinnordy; Charles Lyell later became a celebrated geologist and Somerville's friend. Somerville's father was a Tory, but she was a Liberal, made so by the "unjust and exaggerated abuse of the Liberal party. From my earliest years my mind revolved against oppression and tyranny, and I resented the injustice of the world in denying all those privileges of education to my sex which were so lavishly bestowed on men." At the time, slaves still worked to harvest sugar in the West Indies and in protest Somerville and her oldest brother Sam would refuse to take sugar in their tea.

… excerpt ends here. Continue reading the full article.

Illustrations

Mary Somerville illustration
Mary Somerville: Vice-Admiral William Fairfax; Mary's father, painted in 1798
Vice-Admiral William Fairfax; Mary's father, painted in 1798
Mary Somerville: View of the City of Edinburgh by Alexander Nasmyth. Mary spent the winters in Edinburgh and attended Nasmyth's academy.
View of the City of Edinburgh by Alexander Nasmyth. Mary spent the winters in Edinburgh and attended Nasmyth's academy.
Mary Somerville: Commemorative medal of Mary Somerville
Commemorative medal of Mary Somerville
Mary Somerville: Title page to Mechanism of the Heavens (1831)
Title page to Mechanism of the Heavens (1831)

Worked examples

Example 1 — a first encounter with Mary Somerville

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

In research
Mary Somerville 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 Somerville 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 Somerville is common in secondary-school and first-year university syllabi. It links to neighbouring topics 1780 births, 1872 deaths, 19th-century British astronomers, so understanding it makes those chapters shorter.
In everyday life
Look for Mary Somerville 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 Somerville in 20 minutes

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

Frequently asked questions

What is Mary Somerville in simple terms?

Mary Somerville (née Fairfax, formerly Greig; 1780–1872) was a Scottish scientist, writer, and polymath. She studied mathematics and astronomy, and in 1835 she and Caroline Herschel were elected as the first female Honorary Members of the Royal Astronomical Society.

Why does Mary Somerville 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 Somerville?

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 Somerville.

Tags

  • 1780 births
  • 1872 deaths
  • 19th-century British astronomers
  • 19th-century British women mathematicians
  • 19th-century Scottish mathematicians
  • 19th-century Scottish translators
  • 19th-century Scottish women scientists
  • 19th-century Scottish women writers
  • 19th-century Scottish writers
  • British women civil rights activists
  • Fairfax family
  • International members of the American Philosophical Society

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