Adrien-Marie Legendre

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

Some key ideas and tools in math that carry his name include the Legendre polynomials and the Legendre transformation. These concepts are widely used and studied in many areas of mathematics and science.

Legendre also played a big role in developing the method of least squares. He was the first to publish his work on this method, even though another famous mathematician, Carl Friedrich Gauss, had discovered it a little earlier. The method of least squares helps solve problems by finding the best fit to a set of data points, and it remains very important in fields like science, engineering, and statistics today.

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 continued his work. 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 very useful in many areas, like 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 also worked on a famous math problem and shared ideas that later helped other mathematicians.

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, which helped develop what we now call Legendre polynomials. In 1787, he also worked on integrating equations using parts of ellipses, which led to what is known as 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, paintings, and articles showed the wrong picture of Adrien-Marie Legendre. They used a portrait of a French politician named Louis Legendre instead. This mistake happened because the drawing was just labeled "Legendre" and appeared in a book with other famous mathematicians.

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. This book has funny drawings of 73 members of the Institut de France in Paris, made by an artist named Julien-Léopold Boilly. The other known portrait is in a book called Le Panthéon scientifique de la tour Eiffel.