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Pierre Louis Maupertuis

Pierre Louis Maupertuis 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 Louis Maupertuis rather than just read about it. In short: Pierre Louis Moreau de Maupertuis (; French: [mopɛʁtɥi]; 1698 – 27 July 1759) was a French mathematician, philosopher and man of letters. He became the director of the Académie des Sciences and the first president of the Prussian Academy of Science, at the invitation of Frederick the Great.

Pierre Louis Maupertuis — main illustration
Pierre Louis Maupertuis — illustration

Key takeaways

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

Reference excerpt

Pierre Louis Moreau de Maupertuis (; French: [mopɛʁtɥi]; 1698 – 27 July 1759) was a French mathematician, philosopher and man of letters. He became the director of the Académie des Sciences and the first president of the Prussian Academy of Science, at the invitation of Frederick the Great. Maupertuis made an expedition to Lapland to determine the shape of the Earth. He is often credited with having discovered the principle of least action – a version of which is known as Maupertuis's principle – which he expressed as an integral equation that describes the path followed by a physical system. His work in natural history is interesting in relation to modern science since he touched on aspects of heredity and the struggle for life.

Biography Maupertuis was born at Saint-Malo, France, to a moderately wealthy family of merchant-corsairs. His father, Renė, had been involved in a number of enterprises that were central to the monarchy so that he thrived socially and politically. The son was educated in mathematics by a private tutor, Nicolas Guisnée, and upon completing his formal education his father secured him a largely honorific cavalry commission. After three years in the cavalry, during which time he became acquainted with fashionable social and mathematical circles, he moved to Paris and began building his reputation as a mathematician and literary wit. In 1723 he was admitted to the Académie des Sciences.

His early mathematical work revolved around the vis viva controversy, for which Maupertuis developed and extended the work of Isaac Newton (whose theories were not yet widely accepted outside England) and argued against the waning Cartesian mechanics. In the 1730s, the shape of the Earth became a flashpoint in the battle among rival systems of mechanics. Maupertuis, based on his exposition of Newton (with the help of his mentor Johann Bernoulli) predicted that the Earth should be oblate, while his rival Jacques Cassini measured it astronomically to be prolate. In 1736 Maupertuis acted as chief of the French Geodesic Mission sent by King Louis XV to Lapland to measure the length of a degree of arc of the meridian. His results, which he published in a book detailing his procedures, essentially settled the controversy in his favour. The book included an adventure narrative of the expedition, and an account of the Käymäjärvi Inscriptions in Sweden. On his return home he became a member of almost all the scientific societies of Europe.

After the Lapland expedition, Maupertuis set about generalising his earlier mathematical work, proposing the principle of least action as a metaphysical principle that underlies all the laws of mechanics. He also expanded into the biological realm, anonymously publishing a book that was part popular science, part philosophy, and part erotica: Vénus physique. In that work, Maupertuis proposed a theory of generation (i.e., reproduction) in which organic matter possessed a self-organizing “intelligence” that was analogous to the contemporary chemical concept of affinities, which was widely read and commented upon favourably by Georges-Louis Leclerc, Comte de Buffon. He later developed his views on living things further in a more formal pseudonymous work that explored heredity, collecting evidence that confirmed the contributions of both sexes and treated variations as statistical phenomena. In 1740 Maupertuis went to Berlin at the invitation of Frederick II of Prussia, and took part in the Battle of Mollwitz on a donkey, where he was taken prisoner by the Austrians. On his release he returned to Berlin, and thence to Paris, where he was elected director of the Academy of Sciences in 1742, and in the following year was admitted into the Académie française. Returning to Berlin in 1744, again at the desire of Frederick II, he was chosen president of the Royal Prussian Academy of Sciences in 1746, which he controlled with the help of Leonhard Euler until his death. His position became extremely awkward with the outbreak of the Seven Years' War between his home country and his patron's, and his reputation suffered in both Paris and Berlin. Finding his health declining, he retired in 1757 to the south of France with a young girl, leaving his wife and children behind and went in 1758 to Basel, where he died a year later. Maupertuis's difficult disposition involved him in constant quarrels, of which his controversies with Samuel König and Voltaire during the latter part of his life are examples.

"The brilliance of much of what he did was undermined by his tendency to leave work unfinished, his failure to realise his own potential. It was the insight of genius that led him to least-action principle, but a lack of intellectual energy or rigour that prevented his giving it the mathematical foundation that Lagrange would provide... He reveals remarkable powers of perception in heredity, in understanding the mechanism by which species developed, even in immunology, but no fully elaborated theory. His philosophical work is his most enthralling: bold, exciting, well argued."

Evolution Some historians of science point to his work in biology as a significant precursor to the development of evolutionary theory, specifically the theory of natural selection. Other writers contend that his remarks are cursory, vague, or incidental to that particular argument. Mayr's verdict was "He was neither an evolutionist, nor one of the founders of the theory of natural selection [but] he was one of the pioneers of genetics". Maupertuis espoused a theory of pangenesis, postulating particles from both mother and father as responsible for the characters of the child. Bowler credits him with studies on heredity, with the natural origin of human races, and with the idea that forms of life may have changed with time. Maupertuis was a strong critic of the natural theologians, pointing to phenomena incompatible with a concept of a good and wise Creator. He was also one of the first to consider animals in terms of variable populations, in opposition to the natural history tradition that emphasised description of individual specimens. The difficulty of interpreting Maupertuis can be gauged by reading the original works. Below is a translation from the Essai de cosmologie, followed by the original French passage:

… excerpt ends here. Continue reading the full article.

Illustrations

Pierre Louis Maupertuis illustration
Pierre Louis Maupertuis: Commemorating stamp of the French Geodesic Mission to Lapland.
Commemorating stamp of the French Geodesic Mission to Lapland.
Pierre Louis Maupertuis illustration
Pierre Louis Maupertuis illustration
Pierre Louis Maupertuis: Maupertuisiana (1753), published anonymously by Voltaire or König. On the cover is represented Don Quixote (Maupertuis) attacking the windmills with the broken lance and exclaiming "Tremoleu!". Underneath there is Sancho Panza (Euler) riding a saddle, while to the right a satyr exclaims: "This is how you get to the stars!"
Maupertuisiana (1753), published anonymously by Voltaire or König. On the cover is represented Don Quixote (Maupertuis) attacking the windmills with the broken lance and exclaiming "Tremoleu!". Underneath there is Sancho Panza (Euler) riding a saddle, while to the right a satyr exclaims: "This is how you get to the stars!"

Worked examples

Example 1 — a first encounter with Pierre Louis Maupertuis

Start with the simplest possible case. Write down what Pierre Louis Maupertuis 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 Louis Maupertuis 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 Louis Maupertuis 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 Louis Maupertuis

In research
Pierre Louis Maupertuis 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 Louis Maupertuis 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 Louis Maupertuis is common in secondary-school and first-year university syllabi. It links to neighbouring topics 1698 births, 1759 deaths, 18th-century French astronomers, so understanding it makes those chapters shorter.
In everyday life
Look for Pierre Louis Maupertuis 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 Louis Maupertuis in 20 minutes

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

Frequently asked questions

What is Pierre Louis Maupertuis in simple terms?

Pierre Louis Moreau de Maupertuis (; French: [mopɛʁtɥi]; 1698 – 27 July 1759) was a French mathematician, philosopher and man of letters. He became the director of the Académie des Sciences and the first president of the Prussian Academy of Science, at the invitation of Frederick the Great.

Why does Pierre Louis Maupertuis 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 Louis Maupertuis?

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 Louis Maupertuis.

Tags

  • 1698 births
  • 1759 deaths
  • 18th-century French astronomers
  • 18th-century French biologists
  • 18th-century French male writers
  • 18th-century French mathematicians
  • 18th-century French philosophers
  • French fellows of the Royal Society
  • French geodesists
  • French male non-fiction writers
  • French physicists
  • Kantianism

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