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Sophie Piccard

Sophie Piccard 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 Sophie Piccard rather than just read about it. In short: Sophie Piccard (1904–1990) was a Russian-Swiss mathematician who became the first female full professor (professor ordinarius) in Switzerland. Her research concerned set theory, group theory, linear algebra, and the history of mathematics.

Sophie Piccard — main illustration
Sophie Piccard — illustration

Key takeaways

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

Reference excerpt

Sophie Piccard (1904–1990) was a Russian-Swiss mathematician who became the first female full professor (professor ordinarius) in Switzerland. Her research concerned set theory, group theory, linear algebra, and the history of mathematics.

Early life and education Piccard was born on September 27, 1904, in Saint Petersburg, with a French Huguenot mother and a Swiss father. She earned a diploma in Smolensk in 1925, where her father, Eugène-Ferdinand Piccard, was a university professor and her mother a language teacher at the lycée. Soon afterwards she moved to Switzerland with her parents, escaping the unrest in Russia that her mother, Eulalie Piccard, would become known for writing about. Sophie Piccard's Russian degree was worthless in Switzerland, and she earned another from the University of Lausanne in 1927, going on to complete a doctorate there in 1929 under the supervision of Dmitry Mirimanoff.

Career and later life She worked outside of mathematics until 1936, when she began teaching part-time at the University of Neuchâtel as an assistant to Rudolf Gaberel. Gaberel died in 1938 and she inherited his position, becoming a professor extraordinarius (associate professor). She was promoted to professor ordinarius in 1943, as the chair of higher geometry and probability theory at Neuchâtel. Piccard died on January 6, 1990, in Fribourg.

Contributions Piccard was an invited speaker at the International Congress of Mathematicians in 1932 and again in 1936. In 1939 she published the book Sur les ensembles de distances des ensembles de points d'un espace Euclidien (Mémoires de L’Université de Neuchâtel 13, Paris, France: Libraire Gauthier-Villars and Cie., 1939). Its subject was the sets of distances that a collection of points in a Euclidean space might determine. This book included early research on Golomb rulers, finite sets of integer points in a one-dimensional space with the property that their distances are all distinct. She published a theorem claiming that every two Golomb rulers with the same distance set must be congruent to each other; this turned out to be false for certain sets of six points, but true otherwise.

References

Further reading Schumacher, Mireille, "Des mathématiciennes en Suisse", Tangente (in French), 157: 38–39.

Illustrations

Sophie Piccard illustration

Worked examples

Example 1 — a first encounter with Sophie Piccard

Start with the simplest possible case. Write down what Sophie Piccard 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 Sophie Piccard 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 Sophie Piccard 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 Sophie Piccard

In research
Sophie Piccard 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 Sophie Piccard 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
Sophie Piccard is common in secondary-school and first-year university syllabi. It links to neighbouring topics 1904 births, 1990 deaths, 20th-century Russian mathematicians, so understanding it makes those chapters shorter.
In everyday life
Look for Sophie Piccard 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 Sophie Piccard in 20 minutes

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

Frequently asked questions

What is Sophie Piccard in simple terms?

Sophie Piccard (1904–1990) was a Russian-Swiss mathematician who became the first female full professor (professor ordinarius) in Switzerland. Her research concerned set theory, group theory, linear algebra, and the history of mathematics.

Why does Sophie Piccard 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 Sophie Piccard?

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 Sophie Piccard.

Tags

  • 1904 births
  • 1990 deaths
  • 20th-century Russian mathematicians
  • 20th-century Swiss mathematicians
  • 20th-century women mathematicians
  • Academic staff of the University of Neuchâtel
  • Set theorists
  • Soviet emigrants to Switzerland
  • Swiss women mathematicians
  • University of Lausanne alumni

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