Adrien-Marie Legendre

Adrien-Marie Legendre was a French mathematician. He was born on September 18, 1752, and passed away on January 9, 1833. He made many important contributions to mathematics.

Some key ideas in math carry his name, such as the Legendre polynomials and the Legendre transformation. These concepts are used in many areas of math and science.

Legendre also helped develop the method of least squares. He was the first to publish this method, although Carl Friedrich Gauss had discovered it a little earlier. This method helps solve problems by finding the best fit for a set of data points. It is still important today in science, engineering, and statistics.

Life

Adrien-Marie Legendre was born in Paris on September 18, 1752, into a wealthy family. He studied at the Collège Mazarin and later taught at the École Militaire and the École Normale. He was also part of the Bureau des Longitudes.

Legendre was recognized for his work, winning a prize from the Berlin Academy in 1782. He helped measure the distance between the Paris Observatory and the Royal Greenwich Observatory using trigonometry. He became a member of the Académie des sciences and later the Fellow of the Royal Society.

During the French Revolution, Legendre lost his fortune but kept working. He served as a mathematics examiner and was later honored as an officer of the Légion d'Honneur. Legendre passed away in Paris on January 9, 1833, after a long illness. His name is one of the 72 names inscribed on the Eiffel Tower.

Mathematical work

Adrien-Marie Legendre was a French mathematician who made many important contributions to math. He was the first to publish his ideas about the least squares method in 1806. This method is useful in studying patterns and making predictions.

Legendre wrote a major book called Exercices de Calcul Intégral in three parts, published between 1811 and 1819. In this book, he talked about special math functions and their uses.

He created something called the Legendre transformation, which helps change ways of studying motion and energy. We also have Legendre polynomials named after him, which are important in physics and engineering. One of his most famous books, Éléments de géométrie, was used as the main textbook for learning geometry for about 100 years. It made many old ideas easier to understand.

Honors

Adrien-Marie Legendre was honored in many ways for his work. He became a Foreign Honorary Member of the American Academy of Arts and Sciences in 1832. There is a crater on the Moon named after him, and a main-belt asteroid called 26950 Legendre also carries his name. He was one of the 72 prominent French scientists remembered on plaques at the Eiffel Tower when it first opened. Additionally, a street in the Paris' 17th Arrondissement is named in his honor.

Publications

Adrien-Marie Legendre wrote many important books and essays about mathematics. Some of his well-known works include Eléments de géométrie from 1794 and Essai sur la Théorie des Nombres from 1797-8. He also published Nouvelles Méthodes pour la Détermination des Orbites des Comètes in 1805 and three volumes of Exercices de Calcul Intégral between 1811 and 1819.

He shared his ideas in many papers for the Histoire de l'Académie Royale des Sciences, such as his 1783 work on the attraction of spheroids. In 1787, he worked on integrating equations using parts of ellipses, which led to the Legendre transform. Later, in 1819, he explained a method to find the most likely result from different observations, known as the method of least squares.

Mistaken portrait

For many years, books and paintings showed the wrong picture of Adrien-Marie Legendre. They used a portrait of a French politician named Louis Legendre. This happened because the drawing was just labeled "Legendre."

In 2008, a real portrait of Adrien-Marie Legendre was found in a book from 1820 called Album de 73 portraits-charge aquarellés des membres de I'Institut. The book has funny drawings of 73 members of the Institut de France in Paris, made by an artist named Julien-Léopold Boilly. Another portrait is in a book called Le Panthéon scientifique de la tour Eiffel.