![]() ![]() He used them to transform Laplace's equation into ellipsoidal coordinates and so separate the variables and solve the resulting equation. Another example is his work on the conduction of heat which led him to his theory of curvilinear coordinates.Ĭurvilinear coordinates proved a very powerful tool in Lamé's hands. In fact this was not a passing interest, for Lamé made substantial contributions to this topic. For example, his work on the stability of vaults and on the design of suspension bridges led him to work on elasticity theory. Often problems in the engineering tasks he undertook led him to study mathematical questions. He worked on a wide variety of different topics. The Lamé functions are part of the theory of ellipsoidal harmonics. He actually thought that he found a complete proof for the theorem, but his proof was flawed. He also proved a special case of Fermat's Last Theorem. In 1844, using Fibonacci numbers, he proved that when finding the greatest common divisor of integers a and b, the algorithm runs in no more than 5 k steps, where k is the number of (decimal) digits of b. He is also known for his running time analysis of the Euclidean algorithm, marking the beginning of computational complexity theory. He became well known for his general theory of curvilinear coordinates and his notation and study of classes of ellipse-like curves, now known as Lamé curves or superellipses, and defined by the equation: Lamé was born in Tours, in today's département of Indre-et-Loire. (previous) .Gabriel Lamé (22 July 1795 – ) was a French mathematician who contributed to the theory of partial differential equations by the use of curvilinear coordinates, and the mathematical theory of elasticity (for which linear elasticity and finite strain theory elaborate the mathematical abstractions). 1997: David Wells: Curious and Interesting Numbers (2nd ed.) .(next): A List of Mathematicians in Chronological Sequence 1986: David Wells: Curious and Interesting Numbers .Robertson: "Gabriel Léon Jean Baptiste Lamé": MacTutor History of Mathematics archive Sometimes misrepresented as Gabrielle Lamé, but that is a mistake. 1861: Leçons sur la théorie analytique de la chaleur (Lessons on the analytical theory of heat)įull name with honorific: Père de Gabriel Léon Jean Baptiste Lamé.1859: Leçons sur les coordonnées curvilignes et leurs diverses applications (Lessons on curvilinear coordinates and their various applications).1857: Leçons sur les fonctions inverses des transcendantes et les surfaces isothermes (Lessons on inverse and transcendental functions and isothermal surfaces).1852: Leçons sur la théorie mathématique de l'élasticité des corps solides (Lessons on the Mathematical Theory of Elasticity of Solid Bodies).Tome troisième, Electricité-Magnétisme-Courants électriques-Radiations (Course of Physics of the Polytechnic College: Volume 3, Electricity - Magnetism - Electric Current - Radiation) 1840: Cours de physique de l'Ecole Polytechnique.1840: Cours de physique de l'Ecole Polytechnique: Tome deuxième, Acoustique-Théorie physique de la lumière (Course of Physics of the Polytechnic College: Volume 2, Theory of Acoustics - Theory of Light).1840: Cours de physique de l'Ecole Polytechnique: Tome premier, Propriétés générales des corps-Théorie physique de la chaleur (Course of Physics of the Polytechnic College: Volume 1, General Properties of bodies - physical theory of heat). ![]() 1818: Examen des différentes méthodes employées pour résoudre les problèmes de géométrie (Examination of different methods used for resolving problems of geometry).1816: Mémoire sur les intersections des lignes et des surfaces (Memoir on the intersection of lines and surfaces).Results named for Gabriel Léon Jean Baptiste Lamé can be found here.ĭefinitions of concepts named for Gabriel Léon Jean Baptiste Lamé can be found here. Lamé's Sequence, also known as the Fibonacci Sequence for Leonardo Fibonacci.Lamé Oval, also known as the superellipse.This sequence of numbers is sometimes known as Lamé's sequence. The Lamé Parameters are his invention for describing the elasticity of a material.ĭetermined the running time for the Euclidean Algorithm, using Fibonacci numbers. He thought he had created a general proof for it, but it was flawed. Generated a proof of a special case of Fermat's Last Theorem. Studied the series of curves now known as Lamé curves. ![]() French mathematician who investigated curvilinear coordinate systems. ![]()
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