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Pierre Alphonse Laurent

Pierre Alphonse Laurent 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 Pierre Alphonse Laurent rather than just read about it. In short: Pierre Alphonse Laurent (18 July 1813 – 2 September 1854) was a French mathematician, engineer, and Military Officer best known for discovering the Laurent series, an expansion of a function into an infinite power series, generalizing the Taylor series expansion. Life He was born in Paris, France.

Pierre Alphonse Laurent — main illustration
Pierre Alphonse Laurent — illustration

Key takeaways

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

Reference excerpt

Pierre Alphonse Laurent (18 July 1813 – 2 September 1854) was a French mathematician, engineer, and Military Officer best known for discovering the Laurent series, an expansion of a function into an infinite power series, generalizing the Taylor series expansion.

Life He was born in Paris, France. His father, Pierre Michel Laurent (1769 – 1841) was French, whereas his mother, Eleanor Cheshire (1778 – 1840) was English. Pierre Laurent entered the École Polytechnique in Paris in 1830 and graduated in 1832 as one of the best students in his year. Afterwards, he joined the engineering corps as a second lieutenant, before attending the École d'Application at Metz until he was sent to Algeria. Laurent returned to France from Algeria around 1840 and spent six years directing operations for the enlargement of the port of Le Havre on the English Channel coast. Rouen had been the main French port up to the nineteenth century, but the hydraulic construction projects on which Laurent worked in Le Havre turned it into France's main seaport. It is clear that Laurent was a good engineer, putting his deep theoretical knowledge to good practical use.

Mathematics It was while Laurent was working on the construction project at Le Havre that he began to write his first mathematical papers. He submitted a memoir for the Grand Prize of the Académie des Sciences of 1842. His result was contained in a memoir submitted for the Grand Prize of the Académie des Sciences in 1843, but his submission was after the due date, and the paper was not published and never considered for the prize. Laurent died at age 41 in Paris. His work was not published until after his death. Possibly the result was first discovered by Karl Weierstrass in an 1841 paper, but not published at the time.

See also Laurent polynomial

References

External links O'Connor, John J.; Robertson, Edmund F., "Pierre Alphonse Laurent", MacTutor History of Mathematics Archive, University of St Andrews

Illustrations

Pierre Alphonse Laurent illustration

Worked examples

Example 1 — a first encounter with Pierre Alphonse Laurent

Start with the simplest possible case. Write down what Pierre Alphonse Laurent 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 Pierre Alphonse Laurent 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 Pierre Alphonse Laurent 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 Pierre Alphonse Laurent

In research
Pierre Alphonse Laurent 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 Pierre Alphonse Laurent 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
Pierre Alphonse Laurent is common in secondary-school and first-year university syllabi. It links to neighbouring topics 1813 births, 1854 deaths, 19th-century French mathematicians, so understanding it makes those chapters shorter.
In everyday life
Look for Pierre Alphonse Laurent 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 Pierre Alphonse Laurent in 20 minutes

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

Frequently asked questions

What is Pierre Alphonse Laurent in simple terms?

Pierre Alphonse Laurent (18 July 1813 – 2 September 1854) was a French mathematician, engineer, and Military Officer best known for discovering the Laurent series, an expansion of a function into an infinite power series, generalizing the Taylor series expansion. Life He was born in Paris, France.

Why does Pierre Alphonse Laurent 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 Pierre Alphonse Laurent?

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 Pierre Alphonse Laurent.

Tags

  • 1813 births
  • 1854 deaths
  • 19th-century French mathematicians
  • French mathematical analysts
  • French mathematician stubs
  • Scientists from Paris

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